Chapter 1.1, Problem 59E

After t hours of work, a bank clerk can process checks at the rate of  r(t) checks per hour for the function r(t) given below. How many checks will the clerk process during the first three hours (time 0 to time 3)? r(t) = −t2 + 70t + 7

Please assist with the steps for the problem below    A women's clothing chain store, found that t days after the end of a sales promotion the volume of sales was given by S(t) 5,000(1+e^0.3t)   dollars. Find to the nearest integer the rate of change of sales volume when  t =  1.

Suppose a car driven by Emma G. passes a crosswalk while driving at a constant speed of 5 meters per second and continues driving at this constant speed. Let t represent the number of seconds since the car passed the crosswalk and let d represent the car's distance from the crosswalk (in meters). Suppose the value of t changes from t=4 to t=5.8 How much time passes as the value of t changes from t=4 to t=5.8? Δt= seconds   How much did the car's distance (in meters) from the crosswalk change over this interval of time? Δd= meters   Over this interval of time, the change in the car's distance from the crosswalk in meters (Δd) is how many times as large as the change in the number of seconds since the car passed the crosswalk (Δt)? ΔdΔt=   Over any interval of time, the car's change in distance from the crosswalk (in meters) is times (blank) as large as the change in the number of seconds since the car passed the crosswalk.     only need question 2

Suppose a car driven by Emma G. passes a crosswalk while driving at a constant speed of 5 meters per second and continues driving at this constant speed. Let t represent the number of seconds since the car passed the crosswalk and let d represent the car's distance from the crosswalk (in meters). Suppose the value of t changes from t=4 to t=5.8 How much time passes as the value of t changes from t=4 to t=5.8? Δt= seconds   How much did the car's distance (in meters) from the crosswalk change over this interval of time? Δd= meters   Over this interval of time, the change in the car's distance from the crosswalk in meters (Δd) is how many times as large as the change in the number of seconds since the car passed the crosswalk (Δt)?

Suppose that the function y=f(x) is increasing on the interval (2,4). Over what interval is the graph of y=f(x-6) increasing? a. (8,10) b. (12, 24) c. (-4, -2)

A telephone company charges $.35 for the first minute of a phone call and$.15 for each additional minute of the call. Which of the followingrepresents the cost y of a phone call lasting x minutes?a. y = 0.15(x − 1) + 0.35b. x = 0.15(y − 1) + 0.35c. y = 0.15x + 0.35d. x = 0.15y + 0.35

You are given the function h(t)= t^2 − 4t + 2 Find h(−2). Do not include "h(−2)=" in your answer. = ______________

What does the 0 being less than or equal to t which is less than or equal to 8 come into play? or how do I use it? or what do I do with it for this problem?    An approximate model for the function is  S(t) =2.48t^2 + 5.71t + 84   where 0 </= t </= 8 where S is the sales (in millions of dollars) and t = 0 represents 2000.  Complete the table and compare the results with the data in the graph.   t 0 1 2 3 4 5 6 7 8 S(t)

Rudy graphed f(x)=x and n(x)=f(5x) on the same grid. Which is a true statement about the graphs of the functions? 1. The line for n(x) is located 5 units above f(x) 2. The line for n(x) is less steep than f(x) 3. The two lines have the same y-intercept 4. None of these 5. The lines are parallel