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

Q: Find an equation for the paraboloid z = 3 – (x² + y) in cylindrical coordinates. (Type theta for 0…

A: The given equation of the paraboloid is: z=3-x2+y2 To find the equation of the paraboloid in…

Q: Use the integration capabilities of a graphing utility to approximate the area of the surface formed…

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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: The equation of the tangent line to the parametric equations, x = sine, y= 20 + cose at 0 = 0 is y =…

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Q: The x- intercept of the tangent line to the polar curve r=(1+sin 0) at 0=" is

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

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Q: Use the parametric equations of an ellipse, x = 5 cos (0), y = 4 sin(0), 0≤ 0 ≤ 2π, to find the area…

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Q: Use the parametric equations of an ellipse, æ = 2 cos(0), y = 5 sin(0), 0 < 0 < 27, to find the area…

A: Given :  x=2cos(θ), y=5sin(θ),  0≤θ≤2π The area under the curve can be written as:…

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

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Q: 8-a2-y By converting to spherical coordinates, evaluate 2² dz dx dy

A: Let us consider the rectangular coordinates (x,y,z) then the relation between spherical coordinate…

Q: Sketch the curve with parametric equations x = sin t y = sin2t

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Q: Compute the derivative dydx of the polar curve r=sin2θ at θ=π3.

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Q: Find two different sets of parametric equations for y = x2 + 6.

A: Our Aim is to find the two different sets of parametric equations for y=x2+6

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: Find the slope of the tangent line to polar curve 5 r = 5 cos 0 at the point Vē' 4 2, Preview

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Q: Find the equation of the tangent line of the parametric equations x = 2 – 3 cos 0, y = 3+2 sin 6 at…

A: Given that: x=2-3cosθ and y=3+2sinθ

Q: Determine the x - y coordinates of the points where the parametric equation x = 3 sint y = 3 cost…

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Q: Use cylindrical coordinates to evaluate Vio-ri-p2xy dzdydx

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

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

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Q: Write an equation in general form of the tangent plane to the surface x^2+siny + z^3 = −4 at the…

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

A: We have to represent a differential element.

Q: The equation of the tangent line to the parametric equations, x = sine, y =20+ cose at e = 0 is y =

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Q: 1. x (0) = 0 + cos 0 y (0) = 1+ sin 0 given that

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

A: we have to evaluate the following

Q: Locate the center of the curve r = 4(sinθ + cosθ)

A: NOTE: Refresh your page if you can't see any equations. . the given curve is ...............(1)

Q: Find the slope of the tangent line to the given polar curve at the given point (a) r = 1/0, 0 =

A: Given :   slope can be find as below :

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

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Q: Use polar coordinates to integrate under z=xy above the first quadrant of the unit circle on the xy…

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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: Convert x = = ln(2t) and y = 1² from parametric to rectangular form. 2

A: Given,  x=ln(2t) and y=12t2

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

A: We have to find the transformation

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

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Q: Sketch in Polar X =-Jy %D

A: This can be done by the equations for cartesian to polar conversion which is derived in step 2.

Q: Find the points (z, y) at which the polar curve r = 1+ sin(0), – sos has a vertical and horizontal…

A: The polar curve is r=1+sinθ. Suppose that x=rcosθ and y=rsinθ. That is,…

Q: Find the slope of the tangent line to the polar curve r = sin(20) at 0 =

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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: Find the points (x, y) at which the polar curve 8 cos 0, has a vertical and 3 horizontal tangent…

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Q: d) Find the slope of the parametric equations x=2+3sin and y=0-cose at 0=

A: Given: x=2+3cosθ and y=θ-cosθ   As we know that; The slope of the tangent line to the given curve is…

Q: Determine the Cartesian equation of the tangent line to C1 at the point where 0 = π/2. Given: polar…

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Q: Find the length of the latus rectum of the curve r = 2/(1 - cos( theta )) in polar coordinates.

A: Given r=21-cosθ

Q: Find the second derivative of y with respect to x from the parametric equations given. x = 3 + 4…

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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 derivative dydx of the polar function r=sec(2θ) at θ=π4

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Q: Find the slope of the tangent line to the polar curve r sin(30) at 0 = %3D

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Q: Find the slope of the tangent line to polar curve r = 3 cos 0 at the point 4

A: Given polar curve is - r=3cosθ We need to determine slope of tangent line at the point 32,π4.

Q: Find the moment of inertia of the solid formec y2 = 2x and th

A: Introduction: If a solid is formed by revolving an area about the y-axis, then the moment of inertia…