The maximum value of f(x) is 7 and the period is 60. f(x) = A + 5

Question:

The maximum value of f(x) is 7 and the period is 60°.

f(x) = A + 5 cosBx for 0° ≤ x ≤ 120°

a. Write down the value of A and the value of B.

b. Write down the amplitude of f(x).

c. Sketch the graph of f(x).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 06:36 AM

See More Questions

The rig shown consists of a 5.4-kN horizontal member ABC and a vertical member DBE welded together at B and is used to raise a 16.2-kN crate. Determine (a) The required tension in cable ADCF if the...
Use Lagrange multipliers to find the maximum value of f subject to the given constraint. Then show that f has no minimum value with that constraint. f(x, y, z) = 4x + 2y + z, x 2 + y + z 2 = 1
Use Lagrange multipliers to find the maximum value of f subject to the given constraint. Then show that f has no minimum value with that constraint. f(x, y) = e xy , x 3 + y 3 = 16
Prudence Corporation manufactures two products: X and Y. The company has 4,000 hours of machine time available and can sell no more than 800 units of product X. Other pertinent data follow. Which of...
Using an Internet search tool, locate Procter & Gamble's investor relations web site. Under "Financial Reporting," you will find the company's 2009 annual report. In the annual report's section...
Agree with a friend to each review the same article from a refereed academic journal, which contains a clear literature review section. Evaluate independently the literature review in your chosen...
(4) Would Microsoft gain a useful advantage by taking Nokia over? What reaction might they expect from stakeholders to such a move?
Why are convertible bonds less risky than stock but usually more risky than nonconvertible bonds?
Problem 9-18 (Algo) Activity and Spending Variances [LO9-1, LO9-2, LO9-3] You have just been hired by FAB Corporation, the manufacturer of a revolutionary new garage door opening device. The preside...
A single-phase transformer has 500 turns on the primary and 40 turns on the secondary winding. The mean length of the magnetic path in the iron core is 150 cm and the joints are equivalent to an...
The function i. Solve the equation f(x) = 7, giving your answer correct to 2 decimal places. ii. Sketch the graph of y = f(x). iii. Explain why f has an inverse. iv. Obtain an expression for f 1 (x)....
Identify whether the following sequences are geometric. If they are geometric, write down the common ratio and the eighth term. a. 2, 4, 8, 14, b. 7, 21, 63, 189, c. 81, 27, 9, 3, d. e. 1, 0.4, 0.16,...
Perform the following binary multiplications using Booths algorithm, assuming signed twos complement integers 1011 a) 0101 x 0011 b) x 1011 1011 c) X 1100
Watch the clip from HBO's Chernobyl and respond to the questions below using complete sentences....
1) Every organization has a unique culture. As you move forward with a travel or per diem position, what steps will you take to learn about your assignment organization's culture? 2)Flexibility and...
See the right figure of the lifting and transporting equipment. During operation, while a mass of 1.5 x 104 kg was descending at a constant speed v = 15 m/min, the machine experienced a breakdown,...
PROBLEM 3 BABEY Company makes three products with the following characteristics: Product V jk jin Selling price per unit 10 15 20 Variable cost per unit 6 10 10 Machine hours per unit 2 4 10 The...
Diversified Semiconductors sells perishable electronic components. Some must be shipped and stored in reusable protective containers. Customers pay a deposit for each container received. The deposit...
Which of the following is a random-access protocol? a. CSMA/CD b. Polling c. TDMA
An 8.0 kg crate is pulled 5.0 m up a 30 incline by a rope angled 18 above the incline. The tension in the rope is 120 N, and the crates coefficient of kinetic friction on the incline is 0.25. a. How...
Use these enjoyment data to perform the following: a. Calculate the cell and marginal means. b. Draw a bar graph. c. Calculate the five different degrees of freedom, and indicate the critical F value...
Use these dataincidents of reports of underage drinkingto perform the following: Dry campus, state school: 47, 52, 27, 50 Dry campus, private school: 25, 33, 31 Wet campus, state school: 77, 61, 55,...
Using what you know about the expanded source table, fill in the missing values in the table shown here: df Source SS MS Gender 248.25 Parenting style 84.34 33.60 Gender X style Within 1107.2 36...
Suppose First Fidelity Bank engaged in the following transactions: (Click the icon to view the transactions.) Journalize the 2018 and 2019 transactions on First Fidelity's books. Explanations are not...
Financial data for Joel de Paris, Inc., for last year follow: Joel de Paris, Inc. Balance Sheet Beginning Balance Ending Balance Assets Cash Accounts receivable Inventory Plant and equipment, net...
Supply costs at Coulthard Corporation's chain of gyms are listed below: March April May June July August September October November Client-Visits 11,666 11,462 11,994 13,900 11,726 11, 212 12,006...

The maximum value of f(x) is 7 and the period is 60. f(x) = A + 5

Question:

Step by Step Answer:

a Since the maximum value of fx is 7 we know that the amplitude of the cosine function is 5 since th...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions