5. x = 8 – y², x = y² – 8

Q: Calculate the area and show the graph of the curves:

A:

Q: r =1+ cos 0, r = 1- cos 0

A: Please see the below picture for detailed solution.

Q: 28, g6) = 2x2 [,3],8 reclanyles

A:

Q: 3 68. Bounded by y = x³/√√√4x², y = 0, x=0, x= √2.

A:

Q: Find the area of the given region. y = sin² πx y 1.0- 10.5 y=sin² лx 0.5 1.0

A: Area below the curve is the definite integral of the curve in given limit of region

Q: Consider the following equations. f(x) = x5 + 3 %3D g(x) x + 3 %3D

A: The region is bounded by the graphs,  fx=x5+3 and gx=x+3

Q: Consider the following equations. f(y)%D V 9 - y² g(y) = 0 y = 2 !!

A:

Q: Find the area of the unbounded shaded region. 3 (x - 1)³ -∞0 < x < -1

A:

Q: 1. The part of the sphere x? + y² + z² = a² that lies within the cylinder x² + y² : = ax and above…

A: To Determine :-  The part of the sphere x2 + y2 + z2 = a2 that lies within the cylinder x2 + y2 = ax…

Q: Calculate the area of the shaded region if r=2m

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

A:

Q: y=e, y sinz

A: