evaluate the integral by making an appropriate change of variables double integral of 5sin(25x^2+64y^2) dA, where...

evaluate the integral by making an appropriate change of variables

double integral of 5sin(25x^2+64y^2) dA, where R is the region in the first quadrant bounded by the ellipse 25x^2 +64y^2=1

Expert Solution

milcah answered 2 years ago

1) Evaluate the double integral ∬Dx^2 y dA, where D is the top half of the...

1) Evaluate the double integral ∬Dx^2 y dA, where D is the top half of the disc with center the origin and radius 2 by changing to polar coordinates. 2) Use a double integral to find the area of one loop of the rose r= 6cos (3θ). 3) Use polar coordinates to find the volume of the solid below the paraboloid z=50−2x^2−2y^2 and above the xy-plane.

Evaluate the integral by making an appropriate change of variables. 7(x + y) ex2 − y2...

Evaluate the integral by making an appropriate change of variables. 7(x + y) ex2 − y2 dA, R where R is the rectangle enclosed by the lines x − y = 0, x − y = 3, x + y = 0, and x + y = 2

Evaluate the integral by making an appropriate change of variables. 3 cos 5 y − x...

Evaluate the integral by making an appropriate change of variables. 3 cos 5 y − x y + x dA R where R is the trapezoidal region with vertices (6, 0), (10, 0), (0, 10), and (0, 6)

using / for integral Evaluate the double integral //R cos( (y-x)/(y+x) )dA where R is the...

using / for integral Evaluate the double integral //R cos( (y-x)/(y+x) )dA where R is the trapezoidal region with vertices (1,0), (2,0), (0,2), and (0,1)

1.) Evaluate the given definite integral. Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA 2.)...

1.) Evaluate the given definite integral. Integral from 4 to 5 dA∫45 (0.2e^−0.2A +3/A) dA 2.) Evaluate the definite integral. Integral from negative 1 to 1 dx∫−1 1 (x^2+1) dx 3.) Evaluate the definite integral. Integral from 0 to 2 dx∫02 (2x^2+x+6) dx 4.) Evaluate the definite integral. Integral from 1 to 4 left dx∫14 (x^3/2+x^1/2−x^−1/2) dx 5.) Evaluate the definite integral. Integral from negative 2 to negative 1 dx∫−2−1 (3x^−4) dx

Use the given transformation to evaluate the integral. (12x + 8y) dA R , where R...

Use the given transformation to evaluate the integral. (12x + 8y) dA R , where R is the parallelogram with vertices (−1, 3), (1, −3), (2, −2), and (0, 4) ; x = 1/ 4 (u + v), y = 1/ 4 (v − 3u)

Find the double integral of region (2x-y)dA, where region R is in the first quadrant enclosed...

Find the double integral of region (2x-y)dA, where region R is in the first quadrant enclosed by the circle x2+y2=4 and the lines x=0 and y=x

Calculate the double integral ∫∫Rxcos(x+y)dA∫∫Rxcos⁡(x+y)dA where RR is the region: 0≤x≤π3,0≤y≤π2

Evaluate the double integral explicitly by reversing the order of integration:? Integral from 0 to 8...

Evaluate the double integral explicitly by reversing the order of integration:? Integral from 0 to 8 and integral from (sub3 square root of y) to 2 ex dxdy

1)(a) Approximate the value of the double integral, ∫ ∫ R x 2 ydA, where R...

1)(a) Approximate the value of the double integral, ∫ ∫ R x 2 ydA, where R = [−1, 5] × [0, 4], using the midpoint rule with m = 3 and n = 2. (b) Evaluate the double integral in the part (a), evaluating the corresponding iterated integral. 2)Let D be a region in the xy plane, between the graphs of y = 2 cos(x) and y = − sin(x), for 0 ≤ x ≤ π 2 . Sketch D...

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