4. Integrate L e-° dxdy by converting to polar coordinates, and ase that result to integrate J e dx.

Q: ) Evaluate the integral dy dx using polar coordinate

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Q: (c) dz dy dx

A: Let's find.

Q: 2. Compute dy dx (x² + y²)' by first changing it to polar coordinates.

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Q: Find the slope of the tangent line to the polar curve given, at the point determined by 0. a. r =…

A: The slope of a tangent to a polar curve r=f(θ) at θ=α is given by:…

Q: Which of the following is the surface area of the solid body created by rotating the given…

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Q: Aーy? QI) Evaluate the integral dx dy using polar coordinate

A: To find integral using polar coordinate .

Q: 4–x2 Sở SY dy dx using polar Evaluate 2x-x2 Coordinates.

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Q: 2² dz dx dy By converting to spherical coordinates, evaluate

A: Given:  ∫02∫04-y2∫x2+y28-x2-y2z2dzdxdy we need to find following integeral by using spherical…

Q: By using polar coordinate method, solve the double integral: 1-x x² + y? dy dx

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Q: Q3//A:- Verify that dV = p² sin p dp d0 do when using spherical coordinates.

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Integrate by changing to polar coordinates. (4 - x2 tan V 4 -1(Y) dy dx

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Q: 1 (x+y')* dy dx -J3X 2

A: Double integration of function gives the area under the function curve. Double integration can be…

Q: F. Change the Cartesian integral to polar coordinate dy dx 171-1 حول من كان الى بولير ار

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Q: 6. By converting to spherical coordinates, evaluate 22 dz dx dy. 0.

A: triple integral

Q: Evaluate the double integral / z² + y°dA, where Dis the disc with center the origin and radius 2, by…

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Q: 3. Express the equation y = mx + b, where m and b are constants, in plane polar coordinate.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Verify that dV = p sin o dp de dy when using spherical coordinates. %3D

A: We have to represent a differential element.

Q: In changing the differentiating variable to a polar coordinate system, A. dx and dy becomes dr and…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find e-a* -y" dx dy using polar coordinates.

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Q: Change to polar integral -(z²+v*) dy dæ 00

A: The polar integral is

Q: Compute the shared mass between the polar curves (r 2a cose) and (T = 2a sine) use density equal to…

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Q: Use polar coordinate to evaluate (x² + y* )² dx dy . Leave your answer correct to two decimal…

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Q: Calculate the total charge on a plate D in the shape of an ellipse with the polar equation sin? (0)…

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Q: Change to polar integral 1 V1-z2 e (22+y) dy da -1 0

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Q: TY 7. Compute dy dx by converting to polar coordinates. V4-2 x2 + y2

A: 7. Given integral is ∫02∫-4-x20xyx2+y2dydx The objective is to solve the integral using polar…

Q: Verify that dV = p² sin y dp de dp when using spherical coordinates. %3D

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: 3) Evalnete the itevated integral by Converting the to polar corrdinate, a) dy dx

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Q: Use polar coordinates to evaluate the double integral 2 1 – a²- dy dx. (1+æ? + y²)²

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Q: Translate the spherical equation below into a cylindrical equation! tan2(Φ) = 1

A: We have to find the transformation

Q: 4. y = sin2r, 0 sa Find the area of the surface of rotation obtained by rotating the curved segment…

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Q: 1)Basically, what changes when we exchange the Cartesian coordinates for the polar coordinates?  2…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Change the Cartesian integral to polar coordinate dy dx 171-72 حول من كا الا بولير -1 0

A: Given integral is ∫-11∫01-x2dydx. To determine: Polar coordinates of the cartesian integral.

Q: 4-y 1 Change the double integral dx dy into polar integra 5+ Vx? +y?

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Q: 1)By the to Pestear Ja-xz changing of the Following double integhals coordinale Polar evaluate (4-y)…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Gniert y=x to polor to polar ニ 22 と= tane to Cortesian r Sinl a 色) ta Gatssian

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Q: Change the double integral dxdy into polar integral. 1+/x² +y²

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Q: Q1: convert the Integral So √1-x² (x² + y²)dydx to the polar coordinates. 277

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Q: Use polar coordinate to evaluate (x² + y² ) dx dy - Leave your answer correct to two decimal places.

A: To evaluate: ∫01∫01-y2x2+y2dx dy

Q: Evaluate the spherical coordinate integral. 1- cos + 2x 2x 2 p²sin o dp dep de 1- cos 2x 2x 2 ||…

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Q: If y = x2 is expressed with parametric equations such that = 6 when x = 1, what is ? dt dx %3D dt

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Q: 5. Convert the integral 9-x2 9-x²-y² Vx? + y? + z² dzdydx to spherical coordinates then evaluate.

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Q: 1 - x2 – y? dx 1+ x2 + y?

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Q: Consider the parametric equations x = a cos3 t and y = a sin3 t with 0 ≤ t ≤ π. Find the surface…

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Q: Evaluate | xz dz dy dx by changing to spherical coordinates.

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Q: Evaluate the integral S 4-y2 dx dy using polar coordinate

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Q: Q3/|A:- Verify that dV = p² sin o dp do dp when using spherical coordinates. %3D

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Q: 2 Evaluate V4-x? Jo J2- dy dx using polar V 2x-x2 Coordinates.

A: Solution:-

Q: Change to polar integral 1 -(2²+y?) dydx e 0 -/1-2?

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Q: Calculate using polar coordinates the following double integral Q = {(z, 1)| (2 – 1)2 + y² 0} 1 I6…

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