Mathematics Homework Solutions

Find the volume of an n-dimensional sphere

Find formula for the volume enclosed by a hypersphere. See attached file for full problem description.

Volume of a Hypersphere : n-Tuple Integral

Please do #4. Please see the attached file for full problem description. In this project, we find formulas for the enclosed by a hypersphere in n•dimensional spaces 1 Use a double integral, and trigonometric substitution, together with Formula 64 in the Table of Integrals, to find the area of a circle with radius r 2 U ...continues

Sketch and label the shape

The figure shows a solid enclosed by three circular cylinders with the same diameter that intersect at right angles.... see attachment for figure and remainder of question. PART 1 ONLY

Volume of Space Formed by Intersection of Three Cylinders at Right Angles

The figure shows a solid enclosed by three circular cylinders with the same diameter that intersect at right angles.... see attachment for figure and remainder of question. PART 2 ONLY!

Log Function : Integral and Derivative

Let g(x)=integral from 1 to x sin t ln t dt. Find g'(x)

Particular solution of a differential.

If dy/dx = 2y^2 and if y = -1 when x = 1, then when x = 2, y = ?

Finding the center and radius of a circle.

Find the center and radius of the following circle: x2 + y2 - 10x + 10y = 0

Find the slope and Y-intercept.

Find the slope and Y-intercept of: 1) -4Y=5X-6 2) 4X + 5Y = -20

Function of a Function: Find (gof)(x)

see attachment Given f(x) = sqrt(x^2) -1 g(x) = 2/x Find (gof)(x).

Trigonometric Expressions

Please see the attached file for the fully formatted problems. 1.)Calculate: 234.1sin(1.56)/cos(.34) 2.) Is the following even or odd? Cos(sin t)

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