1)Evaluate the interated integral by converting to polar coordinates: CHECK POINT 2 V4-x2 B) sin(x? + y²)dydx -2 0

Q: How would this parametric function of x=2cost +cos2t; y=2sint-sin2t be solved

A: In order to solve a parametric equation, firstly differentiate x and y with respect to t and then…

Q: ly √18-y² √x² + y ² dx dy

A: By changing into polar coordinates put x=rcos θ, y=rsin θ and dxdy=rdrdθ…

Q: Find where the polar function f (theta) = 6 cos(theta) has a vertical tangents over [0,2pi]

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Q: Q1) Evaluate the integral dy dx using polar coordinate

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

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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: Find the length of polar curve of r=θ^2 with θ less than or equal to 7π/4 and greater or equal to 0.

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Q: Generate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please…

A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

Q: Evaluate | exp(-2²)dx, using an iterated integral and polar coordinates.

A: Using Cartesian coordinates to polar coordinates.

Q: • Evaluate the following integrals: Convert this Cartesian equation (x² + y²)²_9(x² - y²) = 0 to…

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Q: √4-x² So fo 0 [ r x² + y² dy dx

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Q: State the amplitude of the sinusoid A=-2/7 B=-5/7 x=b² sin(a²t - b)

A: Given: x=b2sina2t-b

Q: determine the slope of the tangent line to the polar curve r = 3 + 8 sin 0 at 0 =

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Q: Graph the polar equations r = 3-2sin(theta) and r = 2 . Find and label any key points needed to find…

A: Given that, Polar equations, First, we need to find points of intersection of two graphs: By…

Q: Find dr de = dr de (5+ sec 0) sin 0

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