Chapter 1.1, Problem 21E

The cost of renovating p%of pollutants from a coal -fired power plant can be given by the following function c(p)=8000p/100-p with c being the cost in dollars,  What is the cost of to remove 25% and the cost of removing 75%?  What do you notice about the values?  What could the cost be to remove 100%?  Explain your answer.

Differentiate the function ?(?) = −2√?35(?7− √?7 −8?8 Hence or otherwise, determine ?′(1)

An electric current can be represented by the function y=2cos(2π(x−0.02)), with time in x seconds. How many times does the current reach a value of 1 on the interval 0<x<5? Group of answer choices 12 6 8 10

The volume V of a sphere can be expressed in terms of its radius r according to the function V(r) =  4 3 ?r3. Find the volume of a men's NCAA basketball if the diameter of the ball is 29.5 centimeters. Round to the nearest cubic centimeter.

The cost of renting tuxes for the Choral Society's formal is $20 down, plus $82 per tux. Express the cost C as a function of x, the number of tuxedos rented. C(x) = 82x+20       Use your function to answer the following questions. (a) What is the cost of renting two tuxes?$  (b) What is the cost of the second tux?$

The hotel room tax in festivity city is calculated using the function t(x)=0.06t+4.5, where x is the cost in dollars of the room and t(x) is the tax in dollars. What is the tax on a room that costs $120?

Which statement best describes the effects on the graph of f(x) = 2x when f(x) is replaced by −2f(x + 3) − 5? A The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units down. B The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the left, and vertically translated 5 units down. C The graph is reflected over the x-axis, vertically stretched by a scale factor of 2, horizontally translated 3 units to the right, and vertically translated 5 units down. D The graph is reflected over the y-axis, vertically compressed by a scale factor of , horizontally translated 3 units to the left, and vertically translated 5 units up.

What does g(5•t + 5) do to the function g(t)?

The number of unwatched shows in Timo's DVR is 62. This number grows by 12 unwatched shows per week. The function N(t)=62+12t represents the relation between the number of unwatched shows, N, and the time, t, measured in weeks. What is the independent and independent variable?