The circumference of a sphere was measured to be 70 cm with a possible error of 0.5 cm. Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)What is the relative error? (Round your answer to three decimal places.)

Therefore the error in the calculated volume is 130 .

The relative error is 0.011.

Step-by-step explanation:

Given that,

The circumference of a sphere was 70 cm.

The circumference of a sphere is C=

C=

Differentiating with respect to r

Given that,the circumference of the sphere was with possible error 0.5 cm.

The volume of the sphere is

Differentiating with respect to r

Putting

       [ C=70 cm]

Therefore the error in the calculated volume is 130 .

Relative error

The relative error is 0.011.

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is