4. Use the polar coordinates to evaluate the integral 1 dA 1+x² + y² where R is the sector in the first quadrant bounded by y = 0, y = x and x² + y? = 4. %3D

Q: Find the point(s) of intersection between the following two polar curves on the interval [0, 360]: r…

A:

Q: -Usc polar coordinate to evaluate a2-x2 dxdy a2-x2 axdy

A:

Q: Find the equation in polar coordinates of the line through the origin with slope 1/2.

A: Given: Polar coordinates of the line through the origin with slope 1/2.

Q: Convert (−2, −9) to polar coordinates.

A:

Q: Find in polar Coordinatest X= - 3

A: Change rectangular coordinates in to polar coordinates

Q: V2x-x2 SS2*-*" (x² + y²) dydx

A: Changing cartesian to polar coordinates: x2+y2=r2x=rcos θy= rsin θ x ranges from 0 to 2y ranges from…

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

A: