Find parametric equations for the sphere centered at the origin and with radius 3. use the parameters s and t in your answer.

The parametric equation are

where, and .

Step-by-step explanation:

The general equation of a sphere is

where, (h,k,l) is center of the sphere and r is radius.

It is given that the sphere centered at the origin and with radius 3. It means h=0, k=0, l=0, r=3.

The parametric equation of a sphere are

where, and .

Substitute h=0, k=0, l=0, r=3 in the above equations. So, the parametric equation are

where, and .

22.83 repeating

step-by-step explanation:

137 ÷ 6 is 22.8333333 therefore we understand that 3 is repeating.

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1. x> -5

2. x< 8

step-by-step explanation:

1. 2x> -10

divide by 2 from both sides of equation.

2x/2> -10/2

simplify, to find the answer.

-10/2=-5

x> -5 is the correct answer.

2. 3x< 24

divide by 3 from both sides of equation.

3x/3< 24/3

simplify, to find the answer.

24/3=8

x< 8 is the correct answer.

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