Explanation Given: The function f ( x ) provided as f ( x ) = − ( 6 x − 4 ) ( 3 x 2 − 4 x + 4 ) ; [ − 1 , 5 ] . Formula used: ∫ a b f ( x ) d x = F ( b ) − F ( a ) Calculation: After integrating f ( x ) over the provided interval, the area between the x-axis and f ( x ) Assuming, 3 x 2 − 4 x + 4 = p Differentiating with respect to x , d p d x = 6 x − 4 d p = ( 6 x − 4 ) d x And the limits get changed, 3 x 2 − 4 x + 4 = p 3 ( − 1 ) 2 − 4

12th Edition

ISBN: 8220106844557

Author: MULLINS

Publisher: PEARSON

See similar textbooks

Question

Chapter 13.5, Problem 48E

To determine

To calculate: The area between the x-axis and f(x) over the indicated interval.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 13.5, Problem 47E

Chapter 13.5, Problem 49E

Students have asked these similar questions

3) Let R be a set of real number and d:R2 R R such that d((x, y), (z, w)) = √(x-2)² + (y-w)² show that d is a metric on R².H.W

Use a graph of f to estimate lim f(x) or to show that the limit does not exist. Evaluate f(x) near x = a to support your conjecture. Complete parts (a) and (b). x-a f(x)= 1 - cos (4x-4) 3(x-1)² ; a = 1 a. Use a graphing utility to graph f. Select the correct graph below.. A. W → ✓ Each graph is displayed in a [- 1,3] by [0,5] window. B. in ✓ ○ C. und ☑ Use the graphing utility to estimate lim f(x). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x-1 ○ A. The limit appears to be approximately ☐ . (Round to the nearest tenth as needed.) B. The limit does not exist. b. Evaluate f(x) for values of x near 1 to support your conjecture. X 0.9 0.99 0.999 1.001 1.01 1.1 f(x) ○ D. + ☑ (Round to six decimal places as needed.) Does the table from the previous step support your conjecture? A. No, it does not. The function f(x) approaches a different value in the table of values than in the graph, after the approached values are rounded to the…

x²-19x+90 Let f(x) = . Complete parts (a) through (c) below. x-a a. For what values of a, if any, does lim f(x) equal a finite number? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. x→a+ ○ A. a= (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no values of a for which the limit equals a finite number. b. For what values of a, if any, does lim f(x) = ∞o? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. x→a+ A. (Type integers or simplified fractions) C. There are no values of a that satisfy lim f(x) = ∞. + x-a c. For what values of a, if any, does lim f(x) = -∞0? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. x→a+ A. Either a (Type integers or simplified fractions) B.

Chapter 13 Solutions

EBK MATHEMATICS WITH APPLICATIONS IN TH

Ch. 13.1 - Checkpoint 1 Find an antiderivative for each of...Ch. 13.1 - Checkpoint 2 Find each of the...Ch. 13.1 - Prob. 3CP Ch. 13.1 - Prob. 4CP Ch. 13.1 - Prob. 5CP Ch. 13.1 - Prob. 6CP Ch. 13.1 - Prob. 7CP Ch. 13.1 - Checkpoint 8 The marginal cost at a level of...Ch. 13.1 - 1. What must be true of F(x) and G(x) if both are...Ch. 13.1 - 2. How is the antiderivative of a function related...

Knowledge Booster

The area between the x-axis and f ( x ) over the indicated interval.

To calculate: The area between the x-axis and f(x) over the indicated interval.

Want to see the full answer?

Chapter 13 Solutions