The area shown below is bounded on the top by the function y = (64x – 4x³) ft. y (ft) 100 80 60 40 х (ft) 1 3 4 Determine the coordinates of the area's centroid in feet. Use integration. X = ft ft 20 I|||

Q: Find the function f(x) described by the given initial value problem. f"(x) = 3 sin x, f'æ) = 3, f(1)…

A: The objective is to find f(x), find the area of the region encloses by the parabola and the x-axis.

Q: Inside r, = 3 sin x but outside r, 1+ sin x

A: This is a problem related to area calculation by integration. Based on the given graph we will…

Q: the volume of a sphere is V = (4/3)pi*r^3 a. find the differential of V b. use the differential of V…

A: This is question of calculus Here shape is given we have to find volume of that.Further calculation…

Q: Use Table shown to rewrite as the difference of two integrals.

A: Given integral, ∫162x3-4xdx          ...(1)

Q: Find the area bounded by the curve y = 2x + x² – x³, the x-axis and lines x = 0 and x = 1. %3D

A:

Q: Find the area enclosed by one leaf of the rose r= 5 Cos (10)

A: Solution of given question is followed by

Q: Give an example showing how to use rectangles to estimate the area under a curve.  Then use…

A: Let us choose a function f(x) = x2 and say that we want to calculate the ara under f(x) and x-axis…

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

A: Solution :-

Q: y 81x = 4y2 | 27 mm 13.5 mm 9 mm| 27 mm-

A:

Q: find the area of the circle r=a by integration

A: The diagrammatic representation is,