4.4 - Blackboard Learning System 3/29/09 9:47 PM Your...

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Blackboard Learning System 3/29/09 9:47 PM Your location: Assessments › View All Submissions › View Attempt View Attempt 1 of 5 Title: Started: Submitted: Time spent: Problem Set 4.4 March 15, 2009 10:45 PM March 15, 2009 11:51 PM 01:05:54 Total score adjusted by 0.0 Maximum possible score: 10 Total score: 7/10 = 70% Done 1. Provide an appropriate response. Write composite function in the form and Student Response A. y = f(u) = (2x4 + 3x + 1 )3and u = g(x) = u B. and Feedback C. y = f(u) = 2x4 + 3x + 1 and u = g(x) = u 3 D. y = f(u) = u and u = g(x) = (2x4 + 3x + 1) 3 Score: 2. Find the derivative. Find f'(x) for f(x) = (4x2 + 3x)2. Student Response A. f'(x) = 32x 3 + 36x 2 + 18x B. f'(x) = 64x 3 + 72x 2 + 18x C. f'(x) = 64x 3 + 36x 2 + 18x D. f'(x) = 32x 3 + 36x 2 + 9x Feedback 1/1 http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 1 of 5 Blackboard Learning System 3/29/09 9:47 PM Score: 3. 1/1 Find the equation of the tangent line to the graph of the given function at the given value of x. f(x) = (x 2 + 12) 3/4; x = 2 Student Response A. B. C. D. Score: 4. Provide an appropriate response. Find for . y= y= y= y= x + 11 x+5 x x+5 0/1 Feedback Student Response A. B. C. 2(10t - 4) D. Score: 5. Provide an appropriate response. Find f'(x) for f(x) = log 6(x 4 + 1) 1/1 Feedback http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 2 of 5 Blackboard Learning System 3/29/09 9:47 PM Student Response A. Feedback B. C. D. + 4x 3 1/1 Score: 6. Differentiate. f(x) = (-5x + 7) 4 Student Response A. f'(x) = 4( -5x + 7) 3 B. f'(x) = -20( -5x + 7) 4 C. f'(x) = -20( -5x + 7) 3 D. f'(x) = -5( -5x + 7) 3 Score: 7. Solve the problem. 1/1 Feedback The total revenue from the sale of x stereos is given by Find the marginal average revenue, A'(x). Round numbers to the nearest thousandth, if necessary. Student Response A. A'(x) = 0.044 - Feedback http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 3 of 5 Blackboard Learning System 3/29/09 9:47 PM B. C. D. A'(x) = 13.33 A'(x) = 13.33 A'(x) = 0.044 0/1 Score: 8. Solve the problem. If $8000 is invested at interest rate i, compounded quarterly, it will grow in 4 years to an amount A, in $, given by: A = 8000 16. Find the rate of change, . Student Response A. B. C. D. Score: 9. Provide an appropriate response. = 32,000 = 32,000 = 128,000 = 128,000 1/1 15 Feedback 16 15 16 What rule is applied first to find the derivative of the function f(x) = (2x2 + 2) ? http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 4 of 5 Blackboard Learning System 3/29/09 9:47 PM Student Response A. Quotient rule B. Power rule C. Square root rule D. Product rule Score: 10. 1/1 Feedback Write the function as the composition of two functions f and g such that y = f[g(x)]). y= + 10 Student Response A. B. C. D. f(x) = , g(x) = + 10 + 10 Feedback f(x) = x, g(x) = f(x) = , g(x) = 10 f(x) = x + 10, g(x) = 0/1 Score: Done http://online.sdccd.edu/webct/urw/lc4130001.tp0/cobaltMainFrame.dowebct Page 5 of 5 ...
View Full Document

Ask a homework question - tutors are online