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

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: der the polar function r olar function at 0 2.

A: Introduction: The formula of the tangent line to curve y=f(x) at the point (a,b) is given by,…

Q: 4. r2 = 9 sin 20 π TT TT 4 3. 2 r Check for symmetry polar axis line 0 = pole

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Q: Q4) Find plane area inside the polar functionr = 2 and outside the polar function r= sin -0) +1 in…

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin 2 + 0) in…

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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: 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: 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: 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: QI) Evaluate the integral dy dx using polar coordinate

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Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin (* + 0) in…

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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: Q2-B) Change the double integral ( polar coordinates and evahuate the integral. 1-x2 U (r+y²) dy dx)…

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Q: er the polar curve r=O, dy at 0 = %3D dx

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Q: r = 5 +4 cos 0 3. Draw and determine the area bounded by the curve in polar coordinates

A: We have to find the area bounded by the polar curve r = 5 + 4cos(theta)..

Q: r2 = 9 sin 20 TT π TT 0. 6. 4 3. Check for symmetry line 0 = pole polar axis

A: r2=9sin2θ When θ=0, r2=9sin20⇒r2=0⇒r=0 When θ=π6, r2=9sin2π6⇒r2=932⇒r=±332 When θ=π4,…

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

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Q: The parametric equations for x y3-4 when 0s0s2n are: X-COs X-COS y-sin x-2cos30. y-25ie30…

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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: 4-22-y2 Compute y? Vx2 +y? + z² dz dx dy by converting to spherical 4-x2- coordinates.

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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: se Green's Theorem to evaluate Je(*+y* ) dx +(x-y')dy Cis the triangle with vertices (0, 0), (2, 1),…

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Q: 1.5 3-X Evaluate the integral *dy dx using polar coordinate

A: Follow the procedure given below.

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r = 2 sin * +0) in…

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Q: Vi-x² 2-x²-y² Change Vr +y² dz dy dx into cylindrical coordinates, then evaluate.

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Q: Find the slope of the tangent line to polar curve r = 6 sin 0 at the point 2 y = 1.5 + (a - 1.5/3…

A: Find the slope

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

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Q: 5. Evaluate ffi dA, where R= {(r, y)|1<r² + y² < 9, z20, y 2 0} %3D (Hint: Use polar coordinates.)

A: Given that, The double integration is, ∬xx2+y2dA Where,  1≤x2 + y2 ≤9,     x≥0,    y≥0 We have to…

Q: iyı , Z2 = x2 +iy2 than Z,Z, in polar forr + 62) – i sin(0, + 02) Z,Z2 = ir2(cos(0, – 02) + i sin O…

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Q: V16-x2 Use polar coordinate to evaluate 2 dy dx . Vx² +y² Leave your answer correct to two decimal…

A: To evaluate the given double integral apply the following formulas  x= r cosθ y = r sinθ x2+y2 =r2…

Q: Q4) Find plane area inside the polar function r = 2 and outside polar function r 2 sin (+0) in…

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Q: Q4) Find plane area inside the polar function r = 2sin (- 0) and outside (- – - 0) in first quarter.…

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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: 4y-y² y(x² + y²)² -dxdy x5 **use polar coordinates

A: Use polar coordinates

Q: 11 Final the directrix of the polar curve r = 9-2 cos 0 11 99 x = 2 99 2 0 x = - 11 x = -

A: To find- directrix

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: 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: Find the First and Second Derivate of y with respect to x from parametric equations. Clear Solution.…

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

A: Solution:-

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

A: Given: ∫02 ∫-4-x2-x  x2  dy dx Evaluate the given integral by changing

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

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