Answer:f(x, y) = e
−xy. For the interior of the region, we find the critical points:
fx = −ye−xy
, fy = −xe−xy, so the only critical point is (0, 0), and f(0, 0) = 1.
For the boundary, we use Lagrange multipliers.
g(x, y) = x
2 + 4y
2 = 1 ⇒ λ∇g = h2λx, 8λyi, so setting ∇f = λ∇g we get
−ye−xy = 2λx and −xe−xy = 8λy. The first of these gives e
−xy = −2λx/y,
and then the second gives −x(−2λx/y) = 8λy ⇒ x
2 = 4y
2
. Solving this
last equation with the constraint x
2 + 4y
2 = 1 gives x = ± √
1
2
and y = ±
1
2
√
2
.
Now f
± √
1
2
, ∓
1
2
√
2
= e
1/4 ≈ 1.284 and f
± √
1
2
, ±
1
2
√
2
= e
−1/4 ≈ 0.779.
The former are the maxima on the region and the latter are the minima.
Step-by-step explanation:
A box of 15 cookies costs $9.
What is the cost for 1 cookie?
Answer:
0.6
Step-by-step explanation:
Answer:The cost for 1 cookie is 60 cents.
Look at the middle 7 in the decimal 0.777. How is its value related to the value of the 7 to its left? To the value of the 7 to its right?
Answer:
Value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)
Value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)
Step-by-step explanation:
7 in the middle of number [tex]0.777[/tex] is equal to [tex]\frac{7}{100}[/tex]
7 to the left of the middle 7 is equal to [tex]\frac{7}{10}[/tex]
So,
[tex]\frac{7}{100}=(\frac{1}{10}) \frac{7}{10}[/tex]
That is value of middle 7 = [tex]\frac{1}{10}[/tex](value of 7 to the left of the middle 7)
Also,
7 to the right of the middle 7 is equal to [tex]\frac{7}{1000}[/tex]
So,
[tex]\frac{7}{100}=(10) \frac{7}{1000}[/tex]
That is value of middle 7 = [tex]10[/tex](value of 7 to the right of the middle 7)
After 3.5 hours, Peyton had traveled 161 miles. If she travels at a constant speed, how far will she have traveled in 4 hours
Answer:
1.3 more miles i think
Step-by-step e
3.5 hours equal 210 and i divided it by 163 and thats what came up
Answer:
46
Step-by-step explanation:
C:
Its correct dont worry!
By the way I have no idea why I am doing this but have some free emojis :D
✌︎ ✎ ☁︎☾ ABC: ℂℍℕℙℚℝV☘︎☞❀❁❄︎␘ I have way more but it does not fit D:what is the absolute value of -8? use the number line to answer the question.
Answer:
that will be 8 because you are moving forward or backward that amount of spaces
Trevor has already run 26 miles on his own, and he expects to run 1 mile during each track practice. How many miles would Trevor have run after 24 track practices
Answer:
the answer is 50
you have to add 26 to 24
3x + 5 = x - 3
Due today (in 10 minutes)
Answer:
I hope that helps!
x = -4
kelly buys 3 video games that cost &18.95 each. she also buys 2 pairs of earbuds that cost $11.50 each. she has a coupon for $2 off the price of each video game. kelly uses a calculator to find that the total cost of the items is $77.85. the cashier tells her that the total cost is $73.85. who is correct?
Answer:
The Cashier
Step-by-step explanation:
First you take off $2.00 of every $18.95 of the game and you get $16.95 you add 16.95 three times and after that you add 11.50 twice and then the sum of both the earbuds and the video games and you add both together and you get $73.85
Can someone help me with this answer please. In hanley's school, 0.495 of the students participated in a club. If there are one thousand students in Hanley's school, how many participated in the club?
Answer:
495
Step-by-step explanation:
0.495 x 1000 = 495
Triangle ABC has vertices (−,),(,−), (−,−). What are the coordinates of the vertices of △′′′ for each reflection?
Solve: 39 - 7x = -4(7x + 7) + 4
One difference between obtaining a car with a lease or a loan is that _____.
a. a loan will not have any additional fees or payments that need to be considered while a lease comes with a handful of additional charges
b. a lease will not have any additional fees or payments that need to be considered while a loan comes with a handful of additional charges
c. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
d. a loan finances the depreciated value of the car with related fees while a lease finances the total purchase price of the car
THE ANSWER IS: C. a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
Answer:
C. A loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees
Step-by-step explanation:
He legit said it. (Just writing this for those who are blind)
One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.
What is the difference between a Loan and a Lease?A loan is suitable for a property that you wish to possess at the maturity date, i.e. anything with long-term worth.
On the other hand, a lease is ideal for items that deteriorate gradually and will not retain their worth beyond the period.
The most significant contrast between a lease and a loan is the manner in which the finance costs are paid.The interest on a loan is amortized throughout the period. i.e. your consumer pays more interest at the start and more principal in the end.
Although leasing is not free, the financing charges are predetermined all through the period and are not deducted from the borrowed amount.
From the information given:
One difference between obtaining a car with a lease or a loan is that: a loan finances the total purchase price of the car while a lease finances only the depreciated value and related fees.
Learn more about Loan and lease here:
https://brainly.com/question/24460932
URGENT!!!!!! Find the value of q in the following system so that the solution to the system is——
====================================================
Explanation:
The left hand side of the first equation is x-3y
The left hand side of the second equation is 2x-6y = 2(x-3y). Note how it's simply double of the first expression x-3y
If we multiply both sides of the first equation by 2, we get
x-3y = 4
2(x-3y) = 2*4
2x-6y = 8
Meaning that 2x-6y = 8 is equivalent to x-3y = 4. Both produce the same line leading to infinitely many solutions. Each solution will lay along the line x-3y = 4.
We can say each solution is in the set {(x,y): x-3y = 4}
Which is the same as saying each solution is of the form (3y+4,y)
6 (x – 3) = 4(x – 4) + 2 (x - 1)
Answer: Infinitely many solutions
Step-by-step explanation: 0 = 0
Dino has $1,000 in a savings account that was started for him when he was born. He has a part-time job where he earns $60 each week, and he puts $20 of that into his account each week. An equation could be used to model the amount in his account, y, after x weeks.
Which statements are true about a graph of the equation that will show his account balance during a year? Check all that apply.
A. The x-axis should be labeled from 0 to 12 months since you want to see the change over a year.
B. The x-axis should be labeled from 0 to 52 weekss since you want to see the change over a year.
C. The y-axis should be labeled from $0 to $1,000 since the money in the account will not go above $1,000.
D. The y-axis should be labeled from $0 to $1,300 since the money in the account will not go above $1,300.
E. The y-axis should be labeled from $750 to $1,000 since that is the approximate range of y-values for the year.
F. The y-axis should be labeled from $1,000 to $2,100 since that is the approximate range of y-values for the year.
Answer:
A and B make the most sense.
OMG help what is the relationship between the 5's in 345,502 I think this is math
The first five in the number 345,502 is in the thousands place.
The second five in the number 345,502 is in the hundreds place.
This is the relationship between the two 5's.
Hope this helps!
4. There are 37 students in the class.
Each student sold 41 boxes of nuts
About how many were sold?
(A) 1000
(B
1600
(C) 2000
DI 2400
Answer:
B)1600
Step-by-step explanation:
Answer:
2000
Step-by-step explanation:
41 × 37 = 1517
Approximate 1517
How is 5/2 divided by 1/4 equals 10 responsible
Answer:
Step-by-step explanation:
'll just help with proving whether she is correct.
First of all, a fraction divided by a fraction can be made into multiplication since the division of two fractions is kinda difficult
so remember keep, change, flip
keep the first fractions, change the division symbol into multiplication, then flip the fraction i.e. 1/2 becomes 2/1
so 5/2 divided by 1/4 becomes
5/2 * 4/1
which then solved becomes
20/2 which is simplified to 10
Hope this helps :)
Can someone help me please
Answer:
y= -3/4x-1
Step-by-step explanation:
y-(-4)= -3/4(x-4)
y+4= -3/4x+3
y= -3/4x-1
Suppose that a ball is thrown into the air with an upward velocity of 4 feet per
second from a building that is 20 feet high. The equation that gives the height of
the ball above the ground at time t, in seconds, is h = 20 + 4t - 16t2.
Determine after how many seconds since the ball was released will it hit the ground?
seconds
Answer:
velocity
Step-by-step explanation:
Andrew and Kate have $30 to spend on dinner, tax, and gratuity at Mo’s Restaurant. Tax is 6%, and they will give a 15% tip on the total bill after taxes. Their dinner costs $21.00. Which statement correctly explains whether Andrew and Kate have enough money to pay their bill?
Yes. They have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
No. They do not have enough to pay their bill: 30 dollars times 1.06 = 31 dollars and 80 cents and 31 dollars and 80 cents times 1.15 = 36 dollars and 57 cents.
No. They do not have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Answer:
Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
this is urgent please help i need this qucik : neetu said that the sum of -8+d is always positive whenthe value of d is greater than 0 .is neetu's statement always true some times true or never true? explain your answer.provide at least two examples that support your answer.
Answer:
no this isn't true d could = 1 and then -8+1 is still -7
Step-by-step explanation:
v=vo+at;find a if v = 20, vo = 30, t =5.
Answer:
-2 = a
Step-by-step explanation:
v = vo + at
20 = 30 + a5
now get the numbers and the variable on different sides
30 + a5 - 30 = a5
20 - 30 = -10
-10 = a5
now im going to divide each side by 5
a5 / 5 = a
-10 / 5 = -2
-2 = a
Step-by-step explanation:
[tex]V = V _{0} + at \\ 20 = 30 + a \times 5 \\ 5a = 20 - 30 \\ 5a = - 10 \\ \\ a = - \frac{10}{5} \\ \\ a = - 2[/tex]
Use the graph to determine which statement describes f(x).
Answer:
The statements are not provided, so let's do a complete description of f(x)
In the graph, we can see two asymptotes at x = 1.
This means that the denominator is equal to 0 when x = 1, then we can write:
f(x) = A/(x - 1)
Where we can start thinking that A is a constant.
Now we also can see that when x = 2, f(2) is equal to 1, or:
f(2) = 1.
Then:
f(2) = 1 = A/(2 - 1) = A/1
Then we have A = 1.
Then our function is:
f(x) = 1/(x - 1)
jenna is a professional typist. she can type 22,500 words in 5 hours of typing. in one hour, jenna can type blank words. in one minute, she can type blank words
If the tax rate is 7%, what is the tax on a $60 stuffed animal?
Answer:
$4.20
nice
Step-by-step explanation:
is 12.68 greater the whole number 8
Answer:
no, it is not. 8 < 12.68
Step-by-step explanation:
Write the equation for a line which is parallel to the y-axis but contains the point (3,7).
Help I’ll mark you as the brainliest...there are no other info or answer choices
Answer:
y=3x-2
Step-by-step explanation:
find the equation of the line parallel to the line y=3x+7 passing through the point (3,7).
Do you think you can write a disjunction that has no
solution? Explain your reasoning.
what is the answer for this
Answer:
no
Step-by-step explanation:
then you have nothing like no "pazas"!
The recommended storage temperature for a certain type of squash is 10°C to 13°C. Which inequality
represents the possible storage temperatures F (in degrees Fahrenheit) of the squash.
Answer:
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]
Step-by-step explanation:
In this case, the statement must be represented mathematically by a simultaneous inequation, in which temperature must be equal to or greater than 10 ºC, expressed in Fahreheit degrees, and equal or less than 13 ºC, expressed in Fahrenheit degrees.
Bounds can be converted into Fahrenheit degrees from Celsius degrees:
[tex]T_{F} = \frac{9}{5} \cdot T_{C}+32\,^{\circ}F[/tex] (Eq. 1)
Where:
[tex]T_{C}[/tex] - Temperature, measured in Celsius degrees.
[tex]T_{F}[/tex] - Temperature, measured in Fahrenheit degrees.
Lower bound ([tex]T_{C} = 10\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (10\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 50\,^{\circ}F[/tex]
Upper bound ([tex]T_{C} = 13\,^{\circ}C[/tex])
[tex]T_{F} = \frac{9}{5}\cdot (13\,^{\circ}C) + 32\,^{\circ}F[/tex]
[tex]T_{F} = 55.4\,^{\circ}F[/tex]
The simultaneous inequation representing the recomended storage temperature is:
[tex]50\,^{\circ}F \leq T \leq 55.4\,^{\circ}F[/tex]
y = -2x+ 7 has this type of slope
A.positive
B.negative
C.Zero
D.undefined
Answer:
B: Negative
Step-by-step explanation:
-2/1 is the slope which is negative.