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 .

step-by-step explanation:

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: