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Chapter 10: Q 30 (page 789)

Find the equation of a sphere with center (4, -2, -3) and radius 3.

Short Answer

Expert verified

The required equation is(x-4)2+(y+2)2+(z+3)2=9

Step by step solution

01

Given information

A sphere with center (4,-2,-3) and radius 3.

02

Finding the equation

The equation of sphere may be written as:

(x-4)2+(y+2)2+(z+3)2=32

Simplify:

(x-4)2+(y+2)2+(z+3)2=9

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Most popular questions from this chapter

Read the section and make your own summary of the material.

Find the mass of a 30-centimeter rod with square cross sections of side length 2 centimeters, given that the density of the rod x centimeters from the left end is 蟻(x) =10路5+0路01527x2 grams per cubic centimeter.

In Exercises 37鈥�42, find vand find the unit vector in the direction of v.

v=2,1,-5

For each function f and value x = c in Exercises 35鈥�44, use a sequence of approximations to estimate f'(c). Illustrate your work with an appropriate sequence of graphs of secant lines.

role="math" localid="1648705352169" f(x)=ex,c=0

In Exercises 30鈥�35 compute the indicated quantities when

u=(鈭�3,1,鈭�4),v=(2,0,5),andw=(1,3,13)

u脳vandv脳u
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