Search & Filtering
Indicate the function of f(x) belowin fourier series
0,-0,5<x<0
F(x) ={
x, 0<x<0, 5
A producer of perishable product offers a wage incentive to drivers of its trucks. A standard delivery takes an average of 30 hours. Drivers are paid at the rate of $20 per hour up to maximum of 40 hours. If the trip requires more than 30 hours, the drivers receive compensation for only 30 hours. There is an incentive for drivers to make the trip in less (but not to much less) than 30 hours. For each hour under 30, the hourly wage increases by $1.25.
Determine the function w = f(x) where w equals the hourly wage in dollars and x equals the number of hours required to complete the trip.
a) What trip time x will maximize the driver salary for the trip?
b) What is the hourly wage associated with this trip?
c) What is the maximum salary
d) How does this salary compare with that received for a 20 hours trip?
A small rectangular warehouse is to be constructed which is to have an area of 10000 square feet. The building is to be partitioning internally in to eight equal parts. The costs have been estimated based on exterior and interior walls dimensions. The costs are $300 per running foot of exterior wall and plus $1100 per running foot of interior wall.
a) Determine the dimensions which will minimizes the construction costs?
b) What are the minimum cost?
An experiment was conducted to determine the effects of elapsed time on a person's memory. Subjects were asked to look at a picture which contained many different objects. After studying the pictures, they were asked to recall as so many of the objects as they could. At different time intervals following this, they would be asked to recall as many objects as they could. Based on the experiment, the following function was developed:
R= f(t) = 90 - 30 ln(t) where t ≥ 1
For this function R represents the average percent recall as a function of time since studying the pictures (measured in hours). A value of = 50 would indicate that at the corresponding time t the average recall for the study group was 50 percent.
a) What is the average percent recall after 1 hour?
b) Find the expression for the rate of change in with respect to time.
c) What is the maximum percent and minimum percent recall?
A small rectangular warehouse is to be constructed which is to have an area of 10000 square feet. The building is to be partitioning internally in to eight equal parts. The costs have been estimated based on exterior and interior walls dimensions. The costs are $300 per running foot of exterior wall and plus $1100 per running foot of interior wall. a) Determine the dimensions which will minimizes the construction costs? b) What are the minimum cost
What is a set of vector mean?
Is the function f, defined by f(x)= x^2-5x+4/(x^2-16) , x≠4
f(4)=0, continuous at x=4. Give reasons for your answer.
The function f, defined by f(x)= |x-2| is differentiable in [0,1].
True or false with full explanation
Sequence function(n)=n/n+1
1.Suppose that f and g are continuous on [a, b] and differentiable on (a, b). Suppose also that f(a) = g(a) and f 0 (x) < g0 (x) for a < x < b. Prove that f(b) < g(b).
