The circumference of a sphere was measured to be 78 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) cm2 What is the relative error

The maximum error is  

Relative error is Relative error is =

Step-by-step explanation:

Circumference of a sphere C = 2

Differentiate above equation with respect to r

Given that

Surface area of the sphere S =

Differentiate above equation with respect to r

Where C = circumference of the sphere

given that C = 78 cm  &

So the maximum error is given by

Now the relative error is given by

Relative error =

⇒

Since

Relative error is =

Therefore the maximum error is  

Relative error is Relative error is =

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation:

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph