Question

Calculate ∬D e^(25x2+16y2) dxdy, where D is the interior of the ellipse [(x/4^)2+(y/5^)^2 ≤ 1]

Calculate ∬D e^(25x2+16y2) dxdy, where D is the interior of the ellipse [(x/4^)2+(y/5^)^2 ≤ 1]

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The graph of the tilted ellipse is x^2 - xy + y^2 - x - y...
The graph of the tilted ellipse is x^2 - xy + y^2 - x - y = 2 a) Find the points on the ellipse where the tangent line is horizontal b) Find the points on the ellipse where the tangent line is vertical c) What are the dimensions of the box containing the ellipse? d) What are the coordinates of the four corners of the box containing the ellipse?
Suppose that f(x,y) = y/(1+x) at which {(x,y)∣0≤x≤4,−x≤y≤√x}. D Then the double integral of f(x,y) over...
Suppose that f(x,y) = y/(1+x) at which {(x,y)∣0≤x≤4,−x≤y≤√x}. D Then the double integral of f(x,y) over D is ∫∫Df(x,y)dxdy=
We will find the maximum and minimum values of f(x, y) = xy on the ellipse...
We will find the maximum and minimum values of f(x, y) = xy on the ellipse (x^2)/4+ y^2 = 1 (so our constraint function is g(x, y) = (x^2)/4 + y^2 ). a) Find ∇f and ∇g. b) You should notice that there are no places on the ellipse where ∇g = 0, so we just need to find the points on the ellipse where ∇f(x, y) = λ∇g(x, y) for some λ. Find the points on the ellipse where...
A bowl is formed by revolving the lower half of the ellipse x^2 + 4(y −...
A bowl is formed by revolving the lower half of the ellipse x^2 + 4(y − 1)^2 = 4 around the y-axis. (Repeat: around the Y axis.) Water is then poured in to the bowl up to a depth of 0.75 units. THEN a lead sphere of diameter 1 unit is dropped in the bowl and settles to the bottom. Does the water overflow the bowl when the sphere is dropped in? You can use a computational aid (Maple of...
Let F ( x , y ) = 〈 e^x + y^2 − 3 , −...
Let F ( x , y ) = 〈 e^x + y^2 − 3 , − e ^(− y) + 2 x y + 4 y 〉. a) Determine if F ( x , y ) is a conservative vector field and, if so, find a potential function for it. b) Calculate ∫ C F ⋅ d r where C is the curve parameterized by r ( t ) = 〈 2 t , 4 t + sin ⁡ π...
Claraís utility function is u (x; y) = (x + 2) (y + 1) where x...
Claraís utility function is u (x; y) = (x + 2) (y + 1) where x is her consumption of good x and y is her consumption of good y. (a) Write an equation for Claraís indi§erence curve that goes through the point (x; y) = (2; 8). (b) Suppose that the price of each good is $1 and Clara has an income of $11. Can Clara achieve a utility level of at least 36 with this budget? ( c)...
Use integration to derive the formula for the area of an ellipse with equation x^2/a^2+ Y^2/b2...
Use integration to derive the formula for the area of an ellipse with equation x^2/a^2+ Y^2/b2 = 1 (the symmetry of the ellipse across the y and x-axes may be used in your solution without proof).
using the change of variable x =u/v, y=v evaluate "double integral(x^2+2y^2)dxdy: R is the region in...
using the change of variable x =u/v, y=v evaluate "double integral(x^2+2y^2)dxdy: R is the region in the first quadrant bounded by the graphs of xy=1, xy=2, y=x, y=2x
f(x,y)=-e^(3x^2+6y^2)+e^(5y^2+1) identify the shape of the level curve which contains (-sqrt(3)/3,0) take as the parallelogram bounded...
f(x,y)=-e^(3x^2+6y^2)+e^(5y^2+1) identify the shape of the level curve which contains (-sqrt(3)/3,0) take as the parallelogram bounded by x-y=0, x-y=3, x+2y=0, x+2y=2 (9x+3y)dxdy
Given: x = 2, 1, 5, 3 y = -4, 3, 2, 1 b = 2...
Given: x = 2, 1, 5, 3 y = -4, 3, 2, 1 b = 2 Determine the following: a) Σx =   b) Σy =   c) Σbx + Σby =   d) (Σy)3 =   e) Σ(x + y)2 =   f) [Σ(x + y)]2 =  
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT