Q1) Evaluate the integral S S dy dx using polar coordinate

Q: Find the derivative dydx of the polar function r=1+sinθ at θ=π4.

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Q: Find the Jacobian for the change of variables defined by x = r cos θ and y = r sin θ.

A: To calculate the Jacobian for the change of variables, we need to calculate the following…

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

A:

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: What is the formula for the derivative for dy/dx for a polar curve r=f(theta)?

A: Given that

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: Eliminate the parameter t from the parametric equationsx =3 +sin t and y = cos t - 2.

A: Given: x=3+sint and y=cost-2 We have to eliminate the parameter t from the parametric equations.…

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

A: Using Cartesian coordinates to polar coordinates.

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: Find the points of intersection between r =2 cos20 andr=- %3D 1- cose

A: To find the intersection point two curve we have to find r,θ by solving given curve.

Q: tan y dy 1-tan2,

A:

Q: 3) Use polar coordinate to evaluate S'S_√x² + y² dxdy.

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Q: Evaivate Sinct) V Itcos (t)

A: to find:- given integral function.