Find the võlume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x), y = 8 cos(x), 05 xs; about y = -1 4

Q: Q45.a) Find the area of the region enclosed between the curves y= cos(2x), y=0, x=r/4, x- 1/2…

A: Make the graph and than use the integration to find the area.

Q: = 6. Sketch then find the centroid of the region bounded by the curves y sin x, y = 0, x = 1/4 and x…

A:

Q: 1. Find the antiderivative of sin '(2.r)d.r.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (a) y = x +2 and y = x. (b) y = cos x, y= eª and x = .2 .2 ElN

A:

Q: Sketch the region enclosed by the given curves. y 2 cos(7x), y = 2 sin(14x), X = 0, 14 y 2.0+ 1.5…

A: We have to find the area between the curves.

Q: Let D be the region in the first quadrant (i.e., x > 0 and y 2 0) of the xy-plane that is bounded by…

A: Draw the region and evaluate the integral

Q: 5. Calculate the area contained between the curve y = cos x, -T < x < T, and the line

A: To calculate the area contained between the curve y=cos x, -π&lt;x&lt;π, and the line y=12. Note: As…

Q: The area bounded by the curve y = sin x, y = 0 and x = π/2 is revolved about the line y = 1. Using a…

A: The region bounded by the curve  , and

Q: = A wire has the shape of a helix with parametrization x = t, y : 2 cos(t), z = 2 sin(t) for 0 ≤ t ≤…

A:

Q: y = 2 sin(x), y = e*, x = 0, x= = | N

A: we have given function y=2sin(x) and y=exp(x) area of the region bounded by these curves and x=0 and…

Q: Find the area of the region bounded by the given curves. y = sin n y = x² – 6x

A: The given curves are y=sinπx6, y=x2-6x. Find the area of the bounded region.