Find the volume of a sphere of radius r, centered at the origin, by slicing. Give an equation representing the volume of a slice, perpendicular to the x-axis, that you would use in a Riemann sum representing the volume of the region. Then write a definite integral representing the volume of the region and evaluate it exactly. Volume of slice The total volume over all slices is I d.x

Q: Evaluate the given integral where C is the left half of the unit circle in ccd.

A: Note:- In given problem you mention "ccd" but one short form has different different full form. So,…

Q: Let the region R be the area enclosed by the function f (x) = e®, the horizontal line y = 4, and the…

A: Given that , fx=ex And  y=4. If the region R is the base of a solid such that each cross section…

Q: Use Calculus to find the volume of the following solid  The portion of a sphere with radius r and…

A:

Q: A volume is described as follows: 1. the base is the region bounded by y = - a² + 12x – 14 and y =…

A:

Q: The base of a three-dimensional figure is bound by the line y = x² on the interval [0, 2]. Vertical…

A: Formula: If the area of the cross-sections of a solid at x is Ax for a≤x≤b, then the volume of the…

Q: Let the region R be the area enclosed by the function f(x) = x³ + 1 and g(x) = x + 1.Find the volume…

A:

Q: A region in the first quadrant, bounded by y = x² +1 and y= 9– x² part A Compute the area. Compute…

A: Solution :-

Q: The base of a three-dimensional figure is bound by the y-axis and the curve x = + 2 on the interval…

A:

Q: Consider the volume of the region shown below, which shows a right circular cone with top radius 3…

A:

Q: ded region if it is revolved around the x-axis.

A: answer is in next step

Q: The region enclosed by the curve y = x ²- a ²and the x- axis is rotated by 90 deg about the x axis.…

A: The curve is :The x-axis is rotated by 90 degrees about the x-axis.The aim is to find an expression…