Concept explainers
(a)
The graph of the function using graphical utility.
(a)

Answer to Problem 61E
The graphs get increases on both the positive and negative axis.
Explanation of Solution
Given information:
The horsepower model is
Formula used:
The x axis represents the horizontal direction and y axis represents the vertical direction.
Calculation:
Use a graphing utility to graph the function and rewrite the horsepower function so that x represents the speed in kilometres per hour.
The horsepower model is
Conclusion:
The graph gets increases on both the positive and negative axis.
(b)
The type of transformation that is applied to the horsepower function.
(b)

Answer to Problem 61E
The transformation is a vertical stretching by a factor of 1.6.
Explanation of Solution
Given information:
The horsepower model is
Formula used:
The x axis represents the horizontal direction and y axis represents the vertical direction.
Calculation:
Substitute
Thus, the transformation is a vertical stretching by a factor of 1.6.
Conclusion:
The transformation is a vertical stretching by a factor of 1.6.
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS
- 1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b) the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the 8-second period. t 0 2 4 6 8 V 10 15 12 10 16 2. Find the midpoint rule approximation for (a) n = 4 +5 x²dx using n subintervals. 1° 2 (b) n = 8 36 32 28 36 32 28 24 24 20 20 16 16 12 8- 4 1 2 3 4 5 6 12 8 4 1 2 3 4 5 6arrow_forward= 5 37 A 4 8 0.5 06 9arrow_forwardConsider the following system of equations, Ax=b : x+2y+3z - w = 2 2x4z2w = 3 -x+6y+17z7w = 0 -9x-2y+13z7w = -14 a. Find the solution to the system. Write it as a parametric equation. You can use a computer to do the row reduction. b. What is a geometric description of the solution? Explain how you know. c. Write the solution in vector form? d. What is the solution to the homogeneous system, Ax=0?arrow_forward
- 2. Find a matrix A with the following qualities a. A is 3 x 3. b. The matrix A is not lower triangular and is not upper triangular. c. At least one value in each row is not a 1, 2,-1, -2, or 0 d. A is invertible.arrow_forwardFind the exact area inside r=2sin(2\theta ) and outside r=\sqrt(3)arrow_forwardA 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.arrow_forward
- Explain the key points and reasons for the establishment of 12.3.2(integral Test)arrow_forwardUse 12.4.2 to determine whether the infinite series on the right side of equation 12.6.5, 12.6.6 and 12.6.7 converges for every real number x.arrow_forwarduse Cauchy Mean-Value Theorem to derive Corollary 12.6.2, and then derive 12.6.3arrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





