The curbes r=3sin(theta) and r=3cos(theta) are given 1. Find all the intersection points 2. Find the area of the entire region that likes within both curves

Q: 15. Sketch the region enclosed by the lines x = 3 and y = 1 and the curve xy = 9, and find its area.

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given…

Q: 1. The parametric equations: x = a cos 0,y = a sin? 0;0 ses 2n, define a curve called an asteroid

A:

Q: lculate the area of the region inside the cardioid r = a(1+ sin 0) outside the r = a sin 0 circle…

A:

Q: 1. Write down the name of the curves and shade the region that is inside of r = - 6 sine and outside…

A:

Q: Compute the surface area formed by rotating the portion of the curve in the first quadrant about the…

A: Given curve is x=(cost)(1+cost),y=(sint)(1+cost) , 0≤t≤2π Differentiate with respect to t.…

Q: 2. Write down the name of the curves and shade the region that is inside of r = 8 and to the left of…

A: Solution :-

Q: Find the value of contour Integral if C is the circle |z - 2i = 2 e3z dz z² +4 C

A: Given complex integral,where,  is the circle Therefore,  is a circle of centre  and radius .Cauchy's…

Q: 11. 12. 13. 14. 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, and 22 Determine whether the series is…

A:

Q: Determine the exact area of the surface obtained by rotating the horizontal line y = 1 about the…

A: We have to determine the exact area of the surface obtained by rotating the horizontal line y = 1…

Q: Find the area of the rigion lies between the circles r=2 and r=4cos(theta) in the first octant.

A:

Q: 1. Find the area of the regions shaded by the following curves: r = 2cos0 and r = 2sine

A: Formula: The area of region between the origin and the curve r = f(θ) α ≤ θ ≤ β is given by A =…

Q: Find the Area of the region that lies within both curves: r=8+8sin(theta) and r=8+8cos(theta)

A: