Using polar coordinates, evaluate the integral which gives the area which lies in the first quadrant between the circles x² + y? = 100 and x2 – 10x + y? = 0.

Q: y = 4 cos(x), y = 8x² - 2

A:

Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

A:

Q: When the radius is 16mm, the area is changing at approximately

A:

Q: Find the area of the region in the 2nd quadrant which is bounded by the parabola y = x² + 1 and the…

A: Given:1. The parabola equation: .2. The line equation: To find:The area of the region in the 2nd…

Q: 6) Consider the (cycloid) curve given by parametric equations x = t- sin t y =1-cos! 0sis27 Find one…

A: Definition used -           Area between the curve when equations are parametric -…

Q: Find the area of the region inside 2 petals of the rose r = sin 80

A: Solution :-

Q: 2 v2x-x2 xydydx 0 0

A:

Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

A:

Q: y=e, y sinz

A:

Q: 36- 32+ 28 24 20 16- 12 4 -4 -3 -2 For the above function f( x - 7.0.65*, estimate f (x) using h =…

A: Derivative at point

Q: Use rectangles to estimate the area under the parabola y = x2  from 0 to 1

A: