
To sketch; the graph of given function and calculate its amplitude, period and phase shift.

Answer to Problem 41E
See the graph.
Explanation of Solution
The graph can be drawn by replacing y values with the x values. After that, the corresponding x and y values need to be calculated and paired. Now, plot all the coordinated points and join them with lines. This graph can also be drawn by drawing the base graph and then the appropriate phase shifting.
In the above graph a phase shift of
The amplitude is equivalent to the coefficient’s absolute value in a trigonometric function. In the given case
The period can be calculated by considering the coefficient of
Chapter 5 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
- Solve the differential equation. 37 6 dy = 2x³y7 - 4x³ dxarrow_forwardFind an equation of the curve that passes through the point (0, 1) and whose slope at (x, y) is 3xy.arrow_forwardQ6. A fossil piece has been found in Alberta that contains 34% of C14 in it. What is the age of this fossil piece?arrow_forward
- Q5. Briefly explain what are isotopes of an elements, with an example, and why some isotopes are radioactive. 470arrow_forwardQ1. Will you earn more interest amount in two years by depositing $2000 in a simple interest account that pays 6% or in an account that pays 6.15% interest compounded monthly? tarrow_forwardQ4. We want to invest $18000 in an account compounded continuously. How long should the investment be kept so final value of the account reaches $25000 if the annual rate of interest is 5.8%?arrow_forward
- Q3. Determine the effective annual yield for each investment below. Then select the better investment. Assume 365 days in a year. a) 5.6% compounded semiannually; b) 5.4% compounded daily.arrow_forwardQ2. You deposit $22,000 in an account that pays 4.8% interest compounded monthly. a. Find the future value after six years. & b b. Determine the effective annual yield of this account.arrow_forward18. Using the method of variation of parameter, a particular solution to y′′ + 16y = 4 sec(4t) isyp(t) = u1(t) cos(4t) + u2(t) sin(4t). Then u2(t) is equal toA. 1 B. t C. ln | sin 4t| D. ln | cos 4t| E. sec(4t)arrow_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





