Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. /81-y² 162–x2-y? 2? dz dx dy :

Q: Evaluate the cylindrical coordinate integrals

A: The given integral is I=∫02π∫03∫r2318-r2dz r dr dθ Solve the innermost integral with respect to r.…

Q: Evaluate the line integral -ydx + xdy along the curve C: y? = Зх from (3,3) to (0,0). NOTE: Enter…

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Q: Use cylindrical or spherical coordinates to calculate the triple integral in each case

A: We’ll answer the first question since the exact one wasn’tspecified. Please submit a new question…

Q: Evaluate the integral by changing to spherical coordinates. 16 - x2 32 - x2 - y2 yz dz dy dx x² + y2

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Q: Evaluate the integral by changing to cylindrical coordinates. 16 - y2 xz dz dx dy 16-y2 Vx2+

A: The given integral is                      ∫-44∫-16-y216-y2∫x2+y26xz dz dx dy

Q: Evaluate the line integral | -ydx + xdy along the curve C : y? = 18x from (18, 18) to (0,0). NOTE:…

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

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Q: Evaluate the following integral in spherical coordinates. - (9x2 + 9y2 + 9z²) 3/2 dV; D is a ball of…

A: The solution is given below:

Q: Evaluate the integral by changing to cylindrical coordinates.

A: Given triple integral as,

Q: ローペープ 8-x²-y z?dzdxdy. Use cylindrical or spherical coordinates to evaluate the integral.

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Q: Evaluate the integral by changing to spherical coordinates. 2 - x2 -y2 16 x2 4 yz dz dy dx 0 10 x2…

A: The integral is given by,

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: Convert the integral (x² + y²) dz dx dy to an equivalent integral in cylindrical coordinates and…

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Q: Change the iterated integrals to spherical coordinates 1 VI-x VI-x-y? x²-y? 1 dzdydx x2 + y2 + z2 -1…

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

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Q: Simplify the Determine a definite integral that represents the arc length of r = 7 sec(0), 0 < 0< 3…

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Q: (z+ 3)° dz (40 – 6z – 22)

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

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Q: Evaluate the following integral by first converting to an integral in cylindrical coordinates. 3xz?…

A: Here we have to evaluate the given integral by converting to cylindrical coordinates.

Q: Evaluate the integral by changing to spherical coordinates. 6 V 36 - x2 72 - x2 - y2 xy dz dy dx

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Q: Evaluate the cylindrical coordinate integral: L L dzr dr de O 647 O 87 O 167 O 1287

A: To solve the integral

Q: Evaluate the line integral - -ydx + xdy along the curve C : y? = 3x from (3, 3) to (0,0). NOTE:…

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Q: Evaluate the integral using integration by parts. Sox sec?2x dx Joxe 8x sec22x dx = (Type an exact…

A: Given:

Q: owing integrals using Polar © SSx dzdy Sydydx -dydz 1+V+y -Vi-2

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Q: change the iterated integrals to cylindrical coordinates

A: Here, Use simple conversion of Cartesian coordinate to polar coordinates transformation. X=…

Q: Write the integral x* dz dy dz in cylindrical coordinates. DO NOT EVALUATE THE INTEGRAL!

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Q: Evaluate the integral by changing to spherical coordinates. 36- х2 V 72 - х2 - у2 yz dz dy dx x² +…

A: According to question given that∫06∫036-x2∫x2+y272-x2-y2yz dz dy dx

Q: 36 xz dz dx dy 36 - y2 xZ + yZ

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Q: Show the integral as follows: (A+2x) ! Vl-x (x²+y®) 21.xy'dzdydx -VI-x -(x²+y°) Calculation:

A: Given integral is ∫01∫-1-x21-x2∫-x2+y2x2+y221xy2 dzdydx. In cylindrical co-ordinate system ,…

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

A: To convert to given integral to spherical coordinates. Here, x2+y2≤z≤8-x2-y2, 0≤x≤4-y2, 0≤x≤2 Now,…

Q: Change the iterated integrals to spherical coordinates dzdyda 0 0

A: We have to change the given integral into spherical coordinates.…

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

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

A: Given:

Q: 4-z2-y2 By using spherical coordinates, evaluate the integral a dz dy dr

A: Consider the integral ∫01∫−1−x20∫04−x2−y2xdzdydx We have to evaluate the given integral by using…

Q: Evaluate the integral by changing to cylindrical coordinates. 25 – y2 '5 '5 xz dz dx dy x2 + y? 25 -…

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

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Q: Evaluate the line integral / -ydx + xdy along the curve C : y? = 6x from (6,6) to (0,0). NOTE: Enter…

A: We have to find the line integral ∫C-ydx+xdy along the curve C: y2=6x from (6,6) to (0,0).

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…

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Q: VI-x? (/2-x²-y² S xy dz dy dx 0 Jo Vx²+y²

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Q: Evaluate the integral by changing to cylindrical coordinates. V4 - y? xz dz dx dy x2+ y2 4- y?

A: Sketch the region and find its range in cylinderical coordinates system.

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 integral by changing to spherical coordinates.

A: Given,

Q: change the iterated integrals to cylindrical coordinates 9-x²-y? Z. z ydzdydx -3 -V9-x2 0.

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Q: Evaluate the integral by changing to cylindrical coordinates. 100 - y? 10 10 xz dz dx dy x² + y?…

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Q: Evaluate the integral by changing to spherical coordinates. 10 200 – x2 – y2 V 100 – x2 xy dz dy dx…

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Q: Evaluate the following integral with the help of cylindrical coordinates /25–x² •125 3/2 (x² +…

A: We have to evaluate the integral using polar coordinates

Q: Use cylindrical or spherical coordinates to evaluate the integral. NOTE: Enter the exact answer. 7…

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

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