Given the function f(x) = 2-4, determine the slope of the tangent line of f at
x = -1 using the limit shown below. You do not have to simplify your answer.

Given The Function F(x) = 2-4, Determine The Slope Of The Tangent Line Of F Atx = -1 Using The Limit

Answers

Answer 1

Answer:

Slope of the tangent line at x=-1

[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]

Step-by-step explanation:

Explanation:-

Given function

                            y = f(x) = e ˣ⁻⁴  ...(i)

       Differentiating equation (i) with respective to 'x' , we get

                         [tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]

                       [tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]

Slope of the tangent line

                       [tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]

                       

                 


Related Questions



Can anyone help please!
Ixl geometry

Answers

I hope this helps you

IJH~IKL

IJ/IK=JH/KL=IH/IL

2.1/2.1+0.9=2.8/x

2.1/3=2.8/x

x=2.8*3/2.1

x=4

Will Mark Brainliest!!! Put these in order from LEAST TO GREATEST Pls.
29, 2.5, 5/4, 5.5, 6, 4.75, 28, 3.7

Answers

Answer:

5/4,2.5,3.7,4.75,5.5,6,28,29

Step-by-step explanation:

Enter the x coordinate of the solution to this system of equations.
- 2x + y = 5
– 5x + y = – 4

Answers

Answer:

x = 3

Step-by-step explanation:

Given the 2 equations

- 2x + y = 5 → (1)

- 5x + y = - 4 → (2)

Multiply (2) by - 1 then add to (1) to eliminate y

5x - y = 4 → (3)

Add (1) and (3) term by term to eliminate y

3x = 9 ( divide both sides by 3 )

x = 3

Multiply: (√2x^3 +√12x)(2√10x^5 + √6x^2)

Answers

Answer:

C

Step-by-step explanation:

I just did the Assignment on EDGE2020 and it's 200% correct!  

Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!)  :)  

The length of the sides of ΔEFG are 144, 128, and 112. The length of the smallest sides of ΔQRS is 280. What is the length of the longest side of ΔQRS?

Answers

The answer is: " 355 " .
______________________________________________
The length of the longest side of ΔQRS is: " 355 " .
______________________________________________
Explanation:
______________________________________________
Given:
_________________________________________________
The smallest side of ΔQRS is 280.
_________________________________________________

In ΔEFG, the smallest side is 112 {compared to "144" and "128"}.

The longest side length of ΔEFG is "144" {compared to "128" and "112"}.

What is the length of the largest side of ΔQRS ?

Both triangles are similar, so the following ratios can be set up to solve the problem:

(the smallest side length of ΔEFG) / (the smallest side length of ΔQRS) =
(the longest side length of ΔEFG) / (the longest side length of ΔQRS) ;
__________________________________________________________
→ 112/ 280 = 144 / (the longest side length of ΔQRS);

We wish to solve for "(the longest side length of ΔQRS)" ;'
for which we shall represent with the variable, "x" ;
___________________________________________________
→ Rewrite as: 112/280 = 144/ x ;

Reduce "112/180" to: "2/5" ;

and rewrite: "2/5 = 144/x " ;

Cross multiply: 2x = 5(144) ;

Divide EACH SIDE of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" :
___________________________________________

x = 355

The principal amount, $5500, earns 3.75% interest compounded continuously.

a. Write the function that represents the value of the account at any time, t.

b. What will the value be after 6 years?

Answers

Answer:

a)

The function that represents the value of the account at any time, t

[tex]\:\:A=Pe^{rt}[/tex]

b)

The total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

The function that represents the value of the account at any time, t

[tex]\:\:A=Pe^{rt}[/tex]

where

A represents the Future Value

P represents the Principle (Initial Value)

r represents the Interest rate

t represents the time

b) What will the value be after 6 years?

Given

The principal amount  P = $5500

Annual Rate r = 3.75% = 3.75/100 = 0.0375

Time Period  t  = 6 years

To Determine:

The total amount A = ?

Using the formula

[tex]\:\:A=Pe^{rt}[/tex]

substituting the values

[tex]A\:=\:5500\left(2.71828\right)^{\left(0.0375\right)\left(6\right)}[/tex]

[tex]A=5500\cdot \:2.71828^{0.225}[/tex]

[tex]A = $ 6,887.77[/tex] $

Therefore, the total amount accrued, principal plus interest,  from compound interest on an original principal of  $ 5,500.00 at a rate of 3.75% per year  compounded continuously  over 6 years is $ 6,887.77.

Hesperia Community Center is buying new seating for their building. They want to purchase a combination of stools and chairs. Stools cost $15 and chairs cost $25. The center cannot spend more than $1500.

Which inequality represents all possible combinations of s stools and c chairs?

15s+25c<1500
15c+25s≥1500
15c+25s≤1500
15s+25c≤1500

Answers

Answer:

15s + 25c is less than or equal to (the sign that’s pointing left with the aural sign under it) 1500

also d lol

Step-by-step explanation:

the stools are s and each stool cost 15$ same thing with chairs. the chairs are c and they cost 25$, they have to equal or be less than 1500$

You forgot the zero in your answer. So your answer would be 0.95

Answers

Answer:

yes

Step-by-step explanation:

Answer:

I'm confused

Step-by-step explanation:

The total surface are of a cube is 1014 square meters. What is the length of its side?

Answers

The entire surface area of a cube is 1014 square meters. What is the side of the cube?

Solution: Total surface area of the cube = 1014 m^2.

Area of each face = 1014/6 = 169 m^2

Each edge of the cube = 169^0.5 = 13 m. Answer.

Write an expression to represent the area
of the park as the product of its total
length and width.
HELP PLEASE

Answers

Answer:

20(x+15.5)

Step-by-step explanation:

Answer:

20(x + 15.5)

Step-by-step explanation:

write 3.25 as a mixed number and improper fraction?

Answers

Mixed number = 3 and 1/4
Improper fraction = 13/4

please answer me fast plz ​

Answers

Answer:

find the classmark of each interval

forexample(140+150)/2(150+160)/2

do the same up to (190+200)/2

then

draw a graph by using frequently (number of weeks) on y-axis against classmark on x-axis

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

n=-3.1

Step-by-step explanation:

2n+3=-3.2

2n=-6.2

n=-3.1

2n+3 =-3.2

2n= -3.2-3

2n= -6.2

n= -3.1

Write the expression as either the sine, cosine, or tangent of a single angle. (2 points)
cosine of pi divided by three times cosine of pi divided by five plus sine of pi divided by three times sine of pi divided by five.

Answers

Answer:

cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(2π/15)

Step-by-step explanation:

We will make use of trig identities to solve this. Here are some common trig identities.

Cos (A + B) = cosAcosB – sinAsinB

Cos (A – B) = cosAcosB + sinAsinB

Sin (A + B) = sinAcosB + sinBcosA

Sin (A – B) = sinAcosB – sinBcosA

Given cos(π/3)cos(π/5) + sin(π/3)sin(π/5) if we let A = π/3 and B = π/5, it reduces to

cosAcosB + sinAsinB and we know that

cosAcosB + sinAsinB = cos(A – B). Therefore,

cos(π/3)cos(π/5) + sin(π/3)sin(π/5) = cos(π/3 – π/5) = cos(2π/15)

Which of the following is an extraneous solution of StartRoot 4 x + 41 EndRoot = x + 5? x = –8 x = –2 x = 2 x = 8

Answers

Answer:

-8

Step-by-step explanation:

when you solve for x you get -8 but when you pkug it back in both sides are not equal, making it extranious

Answer:

A

Step-by-step explanation:

took test

what is 100,000 times 90

Answers

Answer:

9000000

Step-by-step explanation:

9000000 is the answer you could use caculator

simplify root 2 divided by root 5 + root 3 by Rationalising in the denominator​

Answers

Answer:

root4 by 2

Step-by-step explanation:

multiply the whole no with root5-root3 up and down also

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week. She noticed that when she reduces the price such that she earns $1 less in profit from each bouquet, she then sells three more bouquets per week. The relationship between her weekly profit, P(x), after x one-dollar decreases is shown in the graph below.
Use the graph to complete each statement about this situation.

The maximum profit the florist will earn from selling celebration bouquets is $___.

The florist will break-even after___one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (__,__).

Answers

Given : A florist currently makes a profit of $20 on each of her celebration bouquets and sells an average of 30 bouquets every week . and graph

To Find :  Maximum profit , breakeven point , profit interval

Solution:

The maximum profit the florist will earn from selling celebration bouquets is $ 675

peak of y from Graph

The florist will break-even after  Selling 20     one-dollar decreases.

at breakeven

Break even is the point where the profit p(x) becomes 0

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0 ,20).

after 20 , P(x) is - ve

Answer: EDMENTUM AND PLATO

First Blank: $625

Second Blank: 20

Third Blanks: ( 0, 20 )

Step-by-step explanation:

Use the drop-down menus to complete each equation so the statement about its solution is true. I’ll give brainliest :))

Answers

Step-by-step explanation:

5 - 4 + 7x + 1 = 7x + 2.

If there are no solutions, then it is of the form 7x + c, where c is any real number besides 2.

If there is 1 solution, then it is of the form mx + c, where m is any real number besides 7 and c is any real number.

If there are infinitely many solutions, then it is of the form 7x + 2.

i need help with this ?

Answers

Step-by-step explanation:

Notice that 2⁰ = 1, 2¹ = 2, 2² = 4, 2³ = 8...

The exponential function is y = 2^x.

The bids in an online auction are represented by the arithmetic sequence shown below: right on explicit formula to represent the bids as an arithmetic sequence. What is the tenth bid

Answers

Answer:

10th bid is 292

Step-by-step explanation:

Here, as we can see, we have an arithmetic sequence and we want to calculate its 10th term

From the question, we can see that the first term a is 193

The common difference is 204-193 = 11

The formula for the nth term of a sequence is;

a + (n-1)d

In this case, n = 10

so we have ;

193 + (10-1)11

= 193 + 99 = 292

A plane leaves London where the tempretaure outside is 17 C.
The plane rises to a height where the tempreture outside is -43 C.
The tempreture decreases by 2 C with every increase of 300 m in height.
The maximum height of plane is

Answers

Answer:

First you find the difference in temperature. Final temperature minus initial temperature. -43-17=-60 So for every 300m temp will minus 2C.

There's a difference of -60, how many -2 is in -60? So -60÷(-2)= 30. 30 times 300m = 9000m or 9km.

Please help this is algebra 1
problem is in the picture

Answers

Answer:

0,1,2,3,4,5

Step-by-step explanation:

You can not buy more than 5 books because you'd have a negative amount of money. So 0,1,2,3,4,5 are the possible values for b.

Simplify the expression:
10h - 4h=

Answers

6h is your answer :)

Answer:

6h=

Step-by-step explanation:

You have to combine the terms the way they are supposed to be

Simplify fully
16x²y2 over 4xy

Answers

Answer:

[tex]4xy[/tex]

Step-by-step explanation:

[tex] \frac{16 {x}^{2} {y}^{2} }{4xy} [/tex]

[tex]4 {x}^{2 - 1} {y}^{2 - 1} [/tex]

[tex]4xy[/tex]

Jean drove 64 miles per hour for a total of 448 miles on a trip. She used the equation below to calculate the time, t, it would take her to complete the trip.

Answers

Answer:

Step-by-step explanation:

since there is no given formula I'm guessing that's what we want to find?

use the dist. = rate * time   formula for this kind of problem

or  d = r*t     ( this looks like the word  "dirt" to me so I call this the dirt formula partly b/c it's dirt simple, and it's generally about moving across some give dist. of dirt  :P )  

so Jean's rate is 64 MPH

her total distance is 448 miles  

rearrange the  d = rt  formula so that you are solving for the thing you don't know.. yet....   t (time)  for this case

soooo...

d/r = t

plug in number

448 / 64 = t

7 = t  (in hours)

5/2 x X =1 what’s the answer

Answers

Answer: X is 0.4

Explanation: I typed 5/2 x a bunch of random numbers and decimals on a calculator until I tried 0.4 and when I typed 5/2 x 0.4 on the calculator it said 5/2 x 0.4 = 1.

Answer:

3

Step-by-step explanation:

"Find a number which, when added to 3, yields 7"

may be written as:

3 + ? = 7, 3 + n = 7, 3 + x = 1

and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.

SOLVING EQUATIONS

Equations may be true or false, just as word sentences may be true or false. The equation:

3 + x = 7

will be false if any number except 4 is substituted for the variable. The value of the variable for which the equation is true (4 in this example) is called the solution of the equation. We can determine whether or not a given number is a solution of a given equation by substituting the number in place of the variable and determining the truth or falsity of the result.

Example 1 Determine if the value 3 is a solution of the equation

4x - 2 = 3x + 1

Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.

4(3) - 2 = 3(3) + 1

12 - 2 = 9 + 1

10 = 10

Ans. 3 is a solution.

Marcy needs to make 5 lb of a cashew/raisin mixture for a party. Her local grocery store sells raisins for $4.50/lb and cashews for $9.50/lb. How many pounds of raisins and cashews should she buy if she wants to spend $40? Enter your answers in the boxes. raisins: lb cashews: lb

Answers

Answer:

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

Step-by-step explanation:

Let

Pounds of raisins = x

Pounds of cashew = y

x + y = 5 (1)

4.50x + 9.50y = 40 (2)

From (1)

x = 5 - y

Substitute x = 5 - y into

4.50x + 9.50y = 40

4.50(5 - y) + 9.50y = 40

22.50 - 4.50y + 9.50y = 40

- 4.50y + 9.50y = 40 - 22.50

5y = 17.5

y = 17.5 / 5

= 3.5

y = 3.5lb

Substitute y = 3.5 into

x + y = 5

x + 3.5 = 5

x = 5 - 3.5

= 1.5

x = 1.5lb

Pounds of raisins = 1.5 lb

Pounds of cashew = 3.5 lb

Can someone help me pleaseeee

Answers

Answer:

-40

Step-by-step explanation:

An integer is any whole number, positive or negative. However, an integer cannot be a fraction. Since you have just spent $40, you have lost that amount, therefore making your number negative or -40.

Answer 40 - 20

Step-by-step explanation:

20 is he number

Enjal paid Rs 15,255 for smart phone with 10% discount and 13% vat. Find marked price of that smart phone.​

Answers

Answer:

The marked price of the smart phone is Rs 15,000.

Step-by-step explanation:

We proceed to explain step by step how to determine the marked price of the  smart phone:

1) Divide the resulting price by the VAR factor:

[tex]C' = \frac{C''}{1 + \frac{r}{100} }[/tex] (1)

Where:

[tex]C''[/tex] - Resulting price, measured in rupees.

[tex]C'[/tex] - Price of the product after discount, measured in rupees.

[tex]r[/tex] - VAT rate, measured in percentage.

If we know that [tex]C'' = 15,255\,INR[/tex] and [tex]r = 13[/tex], then the price of the product after discount is:

[tex]C' = \frac{15,255\,INR}{1+\frac{13}{100} }[/tex]

[tex]C' = 13,500\,INR[/tex]

2) Divide the price of the product after discount by the discount factor:

[tex]C = \frac{C'}{1-\frac{r'}{100} }[/tex] (2)

Where:

[tex]C[/tex] - Marked price of the product, measured in rupees.

[tex]r'[/tex] - Discount rate, measured in percentage.

If we know that [tex]C' = 13,500\,INR[/tex] and [tex]r' = 10[/tex], then the marked price of the product is:

[tex]C = \frac{13,500\,INR}{1-\frac{10}{100} }[/tex]

[tex]C = 15,000\,INR[/tex]

The marked price of the smart phone is Rs 15,000.

Other Questions
Can someone help me with a Rocks Presentation that is worth 90 points? What is the block of 10 columns in themiddle of the table called?A. Representative metalsB. Transition metals I don't know what to do. 0.1428571428571429 in the simplest form???? Better Crocker is baking a cake. She needs 2 1/4 cups of sugar and 1 1/2 cups of brown sugar. How much sugar does she need in all? Middle School Science help please. ill give brainliest Classical conditioning occurs when a particular behavior is reinforced by its consequences. Please select the best answer from the choices provided T F Melanie wants to add a direct quotation to her research paper about President Lincoln, from a book written by Joshua Wolf Shenk. Choose the correct way to cite the quotation in APA style.a. "Never had the conditions for a president-elect been so severe, and never had one seemed, by his credentials, so poorly prepared" (2005, Shenk, p. 172).b. "Never had the conditions for a president-elect been so severe, and never had one seemed, by his credentials, so poorly prepared" (Shenk, p. 172).c. "Never had the conditions for a president-elect been so severe, and never had one seemed, by his credentials, so poorly prepared" (Shenk, 2005, p. 172).d. "Never had the conditions for a president-elect been so severe, and never had one seemed, by his credentials, so poorly prepared" (Shenk, 2005).e. In "Politics and the English Language," George Orwell writes that every scrupulous writer should ask himself four questions about a piece of work. In the reaction 4A1+302 +_ Al2O3, what coefficient should be placed in front of the Al, to balance thereaction?0 1O2O 3O 4 Which one does not belong with the other three?Haggard fatigued gauntaffluent What is the primary purpose of the destination address?Choose 1 answer:It helps the router know where to send the packet.BIt helps the receiving computer reassemble the packets.It tells the router where the packet came from.DIt helps the sending computer know how long to wait before retrying.It prevents the packet from being intercepted by cybercriminals. What type of thermal energy transfer best describes how the surface of the earth is? if own loses weight at a rate of 2 pounds per week and after 6 weeks is 204 pounds how many weeks will he be 180 helpppppppppppppppppppppppppp Why do you think consumers are given rights by law? Have you ever been in a situation and used these consumer rights, or know someone who has? For example, have you ever bought a product that was defective? ONCE AGAIN WILL GIVE BRAINLIST TO WHOEVER HAS THE RIGHT ANSWER FIRST!!!!!! Of the answers below, which is the best definition of academic discourse?A . the written development of a position paperB . any oral or written conversation or discussionC . ideas presented in an objective, analytical manner Which company has the highest charge per attendee? Solve for x. Of the triangle Find the number that makes the ratio equivalent to 2:3 Help please. I will mark brainlist. Steam Workshop Downloader