Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. 98-x2-y2 2? dz da dy

Q: (c) Write the integral 3 2 + hpæpzp z + „h in spherical coordinates. Do not evaluate the integral.

A: We will find out the required solution.

Q: Evaluate the integral, AP where, E lies between spheres +y + z = 2 and a + y + = 3. for a 20

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 16–z2 | xy dy dx dz

A:

Q: Evaluate the integral by changing to cylindrical coordinates. V16 x 2 *16 – x2 - y2 x² + y² dz dy dx…

A: Evaluation of the triple integrals

Q: Evaluate the integral S SRTy dA, where R is the triangle x + y 0, y 2 0. NOTE: Enter the exact…

A: Let's find.

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer.…

A:

Q: Evaluate the integral below, where B is the ball with center the origin and radius 2. II, (x² + y? +…

A: Here in the given question we have to find the given integra∭x2+y2+z2dV Where B is the ball with…

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer.…

A: x = r cosθ,y = r sinθr2= x2+ y2(x,y,z)⇒(r,θ,z)limit of z:z =r2cosθ+r2sinθz = rz=72-r2limit of x:…

Q: Evaluate the integral f Spxy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

A:

Q: Evaluate the integral f SRry dA, where R is the triangle x +y 0, y 2 0. NOTE: Enter the exact…

A:

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz de dz dy = -54 J-36

A:

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A:

Q: Evaluate the integral ſ Srxy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

A:

Q: Evaluate the integral f f,xy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

A:

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Given:     y = √(64-x2)    -7 ≤ x ≤ 7

Q: dy yV3 + (In y)²

A:

Q: 5. Set up the integral for the total work it takes to pump the water to 10 ft above the…

A: To set up the integral to calculate the total work to pump the water 10 ft above the given tank.

Q: Rewrite the following triple integral in spherical coordinates. Do not eval- uate the integral. Show…

A: To rewrite the integral in spherical coordinates ∫-22∫-4-x24-x2∫04-x2-z2x2+y2+z212dydzdx

Q: Convert the integral below from rectangular coordinates to both cylindrical and spherical…

A: To convert the integral to both cylindrical and spherical coordinates, and to evaluate one of them.…

Q: mai places Use a computer algebra system to approximate the iterated integral. (Round your answer to…

A: First of all we will integrate with respect to y then respect to x

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. -2 ry? yz dx dz dy = | -90 -60

A: Given that a triple integration and we solve this integration by using general property of…

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer.…

A: Using cylindrical coordinate system: x=r cosθy=r sinθz=z

Q: Evaluate the following integral in cylindrical coordinates. dz r dr do 00 -5 dz r dr d0 =(Type an…

A:

Q: Evaluate the integral by changing to cylindrical coordinates. V 16 - x2 16 - x2 - y2 x² + y? dz dy…

A:

Q: Evaluate the integral below by changing to spherical coordinates. 81 81 x2 - y2 (x²z + y?z + z³ ) dz…

A: The given problem is to evaluate the given triple integral by converting the integrals from…

Q: Change the integral cylindrical coordinates and then after evaluating the integral the answer is Li…

A: Given, Then we have,

Q: Use spherical coordinates to evaluate the following integral, SII z av, E where E lies above the…

A: Given integral is ∭Ey2zdV where E lies above the cone φ=π3 and below the below the sphere ρ=7 Since…

Q: 3. Change each of the following integrals to either cylindrical or spherical coordinates. You do not…

A:

Q: Evaluate the integral f Sp ry dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

A:

Q: Evaluate the integral by changing to cylindrical coordinates. 49 - у? xz dz dx dy x² + y2 49 - у?

A:

Q: Evaluate the integral f Srcy dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

A: Here, the region R is the triangle x+y≤6, x≥0,y≥0.

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer.…

A: The given integral is ∫07∫049-y2∫x2+y298-x2-y2z2dz dy dx. We have to evaluate the given integral.

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 18.% I cos(m2") dy dz

A:

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A: According to question, Given integral,Let I = ∫e3xdx

Q: -1 dx 1. Jo 1+x² find this integral by using; a) Midpoint rule b) Rectangle rule c) Simpson's rule…

A:

Q: Set up the iterated integral in cylindrical coordinates to find the moment of inertia (BUT DO NOT…

A:

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer.…

A:

Q: 5. Set up the integral for the total work it takes to pump the water to 10 ft above the…

A: Since equation of circle is x2+y2=202                 (1) If we draw a small cylinder with height…

Q: Evaluate the integral by changing to spherical coordinates. 2-22-y2 ry dz dy dx 0. VI²+y² 0,

A: Consider the provided integral, ∫01 ∫01-x2 ∫x2+y22-x2+y2 xydzdydx Converting to spherical…

Q: Evaluate the iterated integral. NOTE: Enter the exact answer. 49-22 xy dy dx dz = %3D

A:

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer.…

A: To find- Use cylindrical or spherical coordinates to evaluate the integral.…

Q: Consider the triple integral I = L,S dzdydx. The value of I is:

A: To evaluate a definite integral we use the fundamental theorem of calculus. Fundamental theorem of…

Q: Evaluate the integral by changing to cylindrical coordinates. 25–1² r25-r² –y? V? + y dz dy dr

A:

Q: convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and…

A: We have given an integral;

Q: Evaluate the integral by changing to cylindrical coordinates. 25 - x2 (25 - x² - y? Vx2 + y2 dz dy…

A:

Q: Convert the following iterated integral to cylindrical coordinates: xz dzdxdy.

A:

Q: Evaluate the integral by making a u-substitution and then integrating by parts. NOTE: Enter the…

A:

Q: 4. Convert the integral to spherical coordinates and evaluate the integral. V49 - x S. 49 - x2 2 –…

A: Solution: To find-          ∫07 ∫049-x2 ∫049-x2-y2  x2+y2+z2  dz dy dx

Q: Evaluate the given integral (2z+1) dz where the contour C is given in the figure,

A: In this question, we use the path for the integral  ∫C(2z+1)dz where C is the path given in the…

Q: Convert the integral 4rz dz dy dr into an integral in cylindrical coordi- nates. You do not have to…

A: