z = 2(cos 40° + i sin 40°) w = 4(cos 20° + i sin 20°)

Q: Evaluate e-y dy da by converting to polar coordinates.

A: Given: ∫-22∫04-x2e-x2-y2dydx We want to evaluate above integral by using polar coordinates

Q: 9. Transform the equation 2x?+2y?3 into a equa tion. Polar

A: Given

Q: Convert to polar form. Then isolate r. (a) x² +y² -9= 0 (b) x² +y = 4x %3D

A: x2+y2-9=0 On simplification, we get ⇒x2+y2=9⇒r2=9         ∵r=x2+y2⇒r2=x2+y2⇒r=3

Q: Replace the polar equation with an equivalent Cartesian equation. r² = 44r cos 0 (x-22)² + y²-0…

A:

Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: Which of the following represents the rectangular equation x² + y²-5y-0 in a polar equation?

A:

Q: Ship X left the harbor at a speed of 25 n.m/hr Northeast while Ship Y is already in the ocean at…

A: We will draw diagram and then use co ordinate and trigonometry tp find required values

Q: Replace the polar equation with an equivalent Cartesian equation. r= 40 sin 0

A:

Q: The question says to write in polar form

A:

Q: 4. Prove that tan x – cos x = sec x – cosʻ x - x- cos cos x – 1. :

A: