Here is a Multi choice word problem to Evaluate the value of x by Integration. You can find similar set of questions at TutorVista Blogs.
Topic : Integration.
Below example will help you to identify correct choice and get reasons for, why remaining choices are incorrect.
Question : The marginal cost of printing a poster when x posters have been printed is dc/dx = 1/2√x Dollars, then the cost of printing posters 101 to 400 is
a. $5
b. $10
c. $15
d. $20
Solution :Choice b is correct.The cost of printing posters 101 to 400 is
C(400)-C(100)
=100∫400(dc/dx)dx
=100∫400(1/2√x)dx
= 10
Choice a is incorrect as the value of the integral 100∫400(1/2√x)dx is not equal to 10.
Choice c is incorrect as the value of the 100∫400(1/2√x)dx is not equal to 15.
Choice d is incorrect as the value of the integral is not equal to 20.
Topic : Integration.
Below example will help you to identify correct choice and get reasons for, why remaining choices are incorrect.
Question : The marginal cost of printing a poster when x posters have been printed is dc/dx = 1/2√x Dollars, then the cost of printing posters 101 to 400 is
a. $5
b. $10
c. $15
d. $20
Solution :Choice b is correct.The cost of printing posters 101 to 400 is
C(400)-C(100)
=100∫400(dc/dx)dx
=100∫400(1/2√x)dx
= 10
Choice a is incorrect as the value of the integral 100∫400(1/2√x)dx is not equal to 10.
Choice c is incorrect as the value of the 100∫400(1/2√x)dx is not equal to 15.
Choice d is incorrect as the value of the integral is not equal to 20.
