V2 Evaluate x² dy dx by changing /4- to polar coordinates. Select one: O a. T A – а. л — 2 О. 2л — 6 O c. 1 - 2 O d. 37 - 2 2 О е. 4 — л

Q: Q2 Q1 Find the points of intersection of the polar curves r-cos () = 0 and 2-cos A-r=0

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Q: /25– x² 1. Evaluate (x2 + y? )3 dy dx by converting to polar coordinates.

A: Evaluate the double integral by using the charge of polar coordinates

Q: Use polar coordinates to evaluate (x² + y° )% dy dr.

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Q: 4y-y² y(x² + y²)² -dxdy o Jy *use polar coordinates

A: The given integral is: I=∫02∫y4y-y2 yx2+y22x5 dx dy

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

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Q: Q2 Q1 Find the points of intersection of the polar curves r-cos 0 = 0 and 2-cos-r=0

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Q: 1. Change L xy dydx to polar form.

A: Two common coordinate systems used to represent a point in the plane are cartesian coordinate system…

Q: V18-x2-y Convert (x² + y + z?)dzdxdy into spherical coordinates. 2n/3 3V2 4 p* cos pdpdpdO /2 -n/2

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Q: Convert x 2 + y 2 = 8 to a polar equation. r = 4 r² = 8 r² = 64

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Q: When transforming polar coordinates S sinx²+y²) dydx _ the binary integral يصبح بالشكل Z csc(8)…

A: Using polar coordinates

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

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Q: re inequalities for ion to the right in polar coordinates.

A: Given,

Q: Use polar coordinates to calculate e-(z²+y²) dydx. roo Express -(2²+y²) dydx in terms of dr, and…

A: We will find out all the required values.

Q: Integrate f10 So 100-x2 (x² + y²) dydx by changing to polar coordinates (Use symbolic notation and…

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Q: 3. Evaluate/calculate using polar coordinates. -1/2 cV1-x² А. M-X" xy/x2 + y² dydx ху,

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Q: Convert to polar coordinates in the xz-plane, similar to Example 3 in the book. r2 63 – 2x? – 2z? –…

A: The limits lead to interpretation that,   From (2), Comparing the above result with  r=3

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

A: This problem is convert to pollar form and then solve so,......

Q: 25) Evaluating in polar coordinates: 6*L*(x² + y²)dydx

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Q: %3D For the following polar equation, compute dy/dx when 0 = 1/2, r = 3 + 2cos 0

A: Recall:          If we have x= r cosθ and y=r sinθ .and given a curve r=f(θ), then we can write as…

Q: 1. Change to polar form, then evaluate: -x-1 х — у dydx V1-x² /x² + y² -1

A: Solution is given below..

Q: Find the slope of the polar curve r = 2( 1 – cosx ) when x = pi/4 . a. 1.707 b. 2.414 c. 1.866 d.…

A: Given equation of curve : r=21-cosx   ,  x=π4. drdx=2sinx The slope of polar curve   r=21-cosx  at…

Q: Use spherical polar coordinates to evaluate LLEN V4-x2 x² + y2 + z² dz dy dx. -V4-x2

A: Solution is given below:

Q: 7- Find the length of the curve T = e", 30 - A<0<T given in polar coordinates. a)V10 sinh(37) b)2/10…

A: Given a curve : r=e3θ   ,-π≤θ≤π We need to find the length of the curve. Let's start.

Q: Convert x2 -4x+y2=0 into a polar equation.

A: Convert x2 -4x+y2=0 into a polar equation

Q: Q5 By changing to polar coordinates, evaluate "S cos (x' + y° ) dxdy .

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Q: Q.3) Use the polar coordinates to evaluate A) L (r+ 2y) dydz

A: In this question we have to evaluate the Double Integration in polar form.

Q: 25-r2 Evaluate (x2 + y?)3 dy dx by converting to polar coordinates.

A: we have to evaluate the following

Q: Find polar coordinates (r, 0) of the point (1, -V3), where r <0 and 0 s0 < 2m

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Q: Q 4/ Use polar coordinate to evaluate 1v1- x2 + y? dydx

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

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Q: (4430°)-(24225°) d. (24140°)(34300°) (Express your answer in polar form)

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Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

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: Q5) Evaluating in polar coordinates: *+ y*)dydx

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Q: 1. Change Lxy dydx to polar form. V4-x2 Xy dydx to polar form.

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Q: 2 V4-2 Using polar coordinates, evaluate dydx =? 100 -2 OA (1/50)mfe? +1) OB 3/ 50)fe +1) - (1 /…

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Q: Q 2. (a). Express z= 3+ V3i in polar form.

A: Answer (a) We know that if x=x+iy    z=r=x2+y2 ∅=tan-1 yx   x=r cos∅ and y= r sin∅the polar form of…

Q: aluate the dnd to polar

A: Given that, ∫0a∫02a-x2xx2+y2dxdy Take x=rcosθ, y=rsinθ where 0≤θ≤2π.

Q: V8-x2 Use polar coordinates to evaluate 6 I dy dx. x2+y2+5

A: To evaluate the given integral by using polar coordinates

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: Converting 4-y2 4-y2 2² +y? f(x, Y, z)dV into polar coordinates gives

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Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

Q: 5. Evaluate ffR dA, where R= {(r, y)|1<r² + y² < 9, z20, y 2 0} (Hint: Use polar coordinates.)

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Q: polar Co-ovdina 4x²= y²-44+8

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Q: 8. i. Convert (x, y) = (-v3, 1) to polar coordinate. ii. Convert r=7 sin O to Cartesian equation in…

A: Explanation of the answer is as follows

Q: 2y-y y dx dy a. Using Polar coordinates Evaluate

A: As you didn't mention the question numberto be solved so i solved First 2 question.For remaining…

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

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

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