Answers
Answer:
a. y=4
b. graph the given and y=4
Step-by-step explanation:
The given is y= 8 sin(x) cos(x)
to get y' which is the slope of the tangent line we take the derivative
for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')
thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))
-8sin^2(x)+8cos^2(x)
You can also leave the 8 differentiated out depending on the form you need.
Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point
=8sin^2(pi/4)+8cos^2(pi/4)
this would equal -8*1/2 +8*1/2 which equals 0
the slope of the tangent at this point would be zero
To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)
this means the point slope equation would be
y-4=0(x-pi/4)
y-4=0
y=4
To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)
Related Questions
geometry homework!!
A cylinder is shown below.
Answers
Answer: 244. 92 cm
Step-by-step explanation:
The surface area formula for a cylinder is written as SA = 2πrh + 2πr^2
The dimensions of the cylinder has a length of 6 cm diameter and a height of 10 cm. Radius is basically half of the diameter, so 3 cm. We use these numbers to substitute into the formula.
SA = 2π(3)(10) + 2π3^2
SA = 2π(30) + 2π(9)
SA = 60π + 18π
SA = 78π
SA = 245.044 cm
244.92 is close enough to 245.004, so 244.92 is the answer.
The cost of dell personal computer is $40less than the cost of a gateway computer, while and epson computer cost $70 more than a gateway. If an order of three gateways, one dell and three espoused total $6820, what is the cost of each type of computer?
Answers
Answer:
Hiii I am srry I dont know the answer but have a nice day!!
Step-by-step explanation:
Angela bought two pairs of shoes for a total of $138$ The difference in the price of shoes was $42. How much was the more expensive pair of shoes? Use systems of equations to solve. You must use substitution to solve
Answers
Answer:
$90
Step-by-step explanation:
Variable x = Less Expensive Shoe
Variable y = More Expensive Shoe
Set up equations:
x + y = 138
x + 42 = y
The problem says to use substitution to solve, meaning we must substitute one variable for a different value. I will substitute variable y in the first equation for x + 42 as this equals y in the second equation.
x + x + 42 = 138
Combine like terms
2x + 42 = 138
Subtract both sides by 42 to isolate variable x
2x = 96
Divide both sides by 2 to isolate variable x
x = 48
Substitute variable x for 48 and solve for y. I will use the second equation for this.
48 + 42 = y
Combine like terms
90 = y
I defined y as the more expensive pair of shoes. Since the problem only asks for the price of the more expensive shoes, the answer is $90.
In the school band, 8/24 of the members play the trumpet. In simplest form, what fraction of the band plays the trumpet?
Answers
Helps me is urgent Match each type of insurance with an example of what it would pay for.
Renter's
insurance
?
Repair on a car involved in
an accident
Auto insurance
2
Replacement of a
computer stolen from an
apartment
Life insurance
2
Funeral expenses
Health insurance
?
A trip to the emergency
room
PREVIOUS
Answers
Avery has a job where she has a take home salary each month of 1200. If Avery wants to spend no more then 25% of her monthly take home salary on rent , how much can she afford?
Answers
Answer:
She can only spend 300 of her monthly salary on rent.
Step-by-step explanation:
Ramona wants to buy cheese pizza for her family and friends gathering. She stops buy nine wonders pizza and figures out that they have four sizes
Answers
Answer:
????
Step-by-step explanation:
We need more information to help figure out the answer! Otherwise, I do understand it so far! :)
Answer:
she should just buy the best one
Step-by-step explanation:
PLEASE HELP UH 15 POINTS?
Answers
Answer:
A.
Step-by-step explanation:
4x4x6=96
2x4x6=48
48+96=144
Answer:
A) 144 cube units
Step-by-step explanation:
4 x 4 x 6= 96cube units
8 x 6= 48 cube units
48+96=144 cube units
Question 1 (2 points)
Nicole earns a 4.5% commission at LuLu Lemon. She sold $800 worth
of gear. How much was her commission
Answers
Answer:
36
Step-by-step explanation:
A triangle has angles measuring 58 and 93 degrees. What is the measure of the third angle?
Answers
180 - 58 - 93 = 29
please help!!!
Can you use Pythagorean Theorem to find the missing side of this triangle? Why or why not?
Answer and Explain, please.
Answers
Answer:
No, Pythagorean Theorem can't be used here for finding the missing sides of the triangle.
Because Pythagorean Theorem is used in triangles having one of its sides right angled but here in the diagram non of the sides of the triangle are right angled .
Answer:
NO
Because pythagorean Theorem is used to find the missing side in the triangle if the other sides are there
A college lecture hall has 15 rows of seats. The first row has 18 seats the next row has 20 seats, and the third row has 22 seats.
How many seats are in the last row?
Write the rule for the number of seats in the nth row.
Answers
Answer:46, f(n)=2x+16
Step-by-step explanation:
1=0+18
2=2+18
3=4+18
4=6+18
f(n)=2x+16
f(15)=30+16=46
Find the area of the figure.
Answers
Answer:
25
Step-by-step explanation:
Please help!!
How much diagonals are in a 102-gon?
Answers
Please find the attached photograph for your answer.
PLEASE HELP Find the area SHOW YOUR WORK
Answers
Step-by-step explanation:
I don't want the place but the fishy on me
Got a lot to be but the fishy on me
Got a lot to do, I'll slap your knee
Fishy on me, fishy on me
I don't want the place but the fishy on me
Got a lot to be but I'll slap your knee
Fishy 2B but I don't know he
Fishy on me if the fishy 2B
I don't know what the place but the fishy on me
Fishy on me, fishy on me
I don't know the place but the fishy on me
2HB I'll slap your knee
I'll slap your knee
Fishy on me, a place to be
I don't know what the place but the fishy on me
Fishy on me, I'll slap your knee. fishhhyyyyyyyyyyyyyyyyyyyyyyyyyyy
Which statement is always true?
A. A vertex is the intersection of two planes.
B.An edge is where two planes intersect in a line.
c. A face is the point where three planes meet. D. Two planes have to intersect each other.
Answers
Answer: B : An edge is where two planes intersect in a line.
Step-by-step explanation: I got it right on the quiz :)
rachel has 4 notebooks.Her mother gives her n notebooks.she wants to use the same number of notebooks in each of her 7 classes. which expression shows the number of notebooks rachel will use for each class?
A.n+4/7
B.4÷7/n
C.4n+7
D.4+n+7
Answers
Answer:
i think its b
Step-by-step explanation:
(1/6)^p = 36^3 x 6^18. What is the value of p?
Answers
Answer:
Step-by-step explanation:
(1/6)^p=36^3×6^18
[tex](\frac{1}{6}) ^p=(6^2)^3 \times 6^{18}\\\frac{1}{6^p} =6^{2 \times 3} \times 6^ {18}\\6^{-p}=6^6 \times 6^{18}\\=6^{6+18}\\=6^{24}\\-p=24\\p=-24[/tex]
A rectangular prism has a square base with side
the prism is 5 feet. What is the volume of the prism? Show you
m has a square base with sides that are 2 feet long. The height of
Please help
Answers
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.
Step-by-step explanation:
safari
Can you figure out the missing number
Answers
Answer:
probably 6 thats one of the missing ones
The measure of an angle is 67º. What is the measure of its complementary angle?
Answers
Answer:
see explation
Step-by-step explanation:
# complementary angles are those angles which are formed when 90° is substracted from the given degree of angle.
so here,given angle is 67°
complementary angle of 67° = 90°- 67°
= 23°
please mark me as brainlist.
Julie made some hot chocolate by mixing 1 1/4 cups of milk with 1/2 tablespoons of cocoa. How many cups of milk Julie uses for 1 tablespoon of cocoa?
Answers
Answer:
2 2/4
Step-by-step explanation:
Since 1/2 of tablespoon of coca can make 1 1/4 cup of milk...
1 1/4 + 1 1/4 = 2 2/4
7^10 is _____ times larger than 7^8.
Answers
Answer:
2 times greater
Step-by-step explanation: since 10 subtracted by 8 is 2
Damian is trying to pick out an outfit for the first day of school. He can choose from 3 pairs of pants, 5 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes. How many different outfits does Damian have to choose from? (Don't answer if you don't know and no bots with the fake links pls)
Answers
Answer:
64 outfits I think.
Step-by-step explanation:
The number of the different outfits do Damian have to choose is 600.
What are permutation and combination?A permutation is an act of arranging the objects or elements in order.
Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.
Different outfits do Damian have to choose, will be;
⇒3C₁×5C₁×8C₁×5C₁
⇒3×5×8×5
⇒600
Hence,the number of the different outfits do Damian have to select is 600.
To learn more about the permutation and combination, refer:
https://brainly.com/question/13387529
#SPJ2
Determine the coordinates of the point shown. 5 4 3 2- 0 -5 4 -3 -2 -1 0 2. 3 4 5 -2- -3 O (1.5, -0.5) O(-0.5, 1.5)
Answers
Answer:
Hi! The answer to your question is (3,0) Or just 3
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
Stay Safe!!
- Brooklynn Deka
Answer:
[tex] \boxed{(1.5, \: -0.5)} [/tex]
anyone wanna help out? :’)
Answers
Answer:
325 dollars
Step-by-step explanation:
find 10% of 39000 3900 then divide it by 12 months which is 325 every month
HELP! WILL GIVE BRANLIEST!
Answers
Answer: I believe it is 108 good luck girl
Can someone please give me the answers to both I will mark u brilliant
Answers
Answer:
I believe it is [tex]8 units^{2}[/tex]
Answer: The area is 9 units2.
Step-by-step explanation:
A= lw
A= 2*3
A=6
A= b*h*1/2
A= 2*3*1/2
A=3
6+3=9
Find the value of X if you understand this please answer
Answers
Answer:
H sin theta = X where H = 600 and theta is 36 by alternate interior angles
X = 600 sin 36 = 353
Translate the phrase into an algebraic expression.
Twice w
Answers
Answer:
2w
Step-by-step explanation: