Ahemispherical dome of radius 50 feet is to be given 7 coats of paint, each of which is 1/100 inch thick. use linear approximation to estimate the volume of paint needed for the job.
( hint: approximate the change in the volume of a hemisphere when the radius increases from 50 feet to 50 feet 7/100 inches. don't forget to make sure this increased radius is in terms of feet. )
it will take approximately cubic feet of paint to apply all 7 coats of pain.

Step-by-step explanation:

We are given that radius of  hemispherical dome=50 feet

Number of coats of paint=7

Thickness of each coat of paint=

We have to find the volume of paint by using linear approximation

Volume of hemisphere=

Differentiate w.r.t r

Then, we get

By approximation

Substitute the values then we get

assuming you mean addition: addition and subtraction are reverse operations.

step-by-step explanation:

the red lines denote the population of the bacteria after 35 hours. that would be 2,409.24. the y-intercept is the blue line which is 800 because that is the starting point. the equation used to make the graph is 800(1.032)^h, where h is the number of hours.

step-by-step explanation: