The function f is defined by f: x 7 5 cos 2x for 0
Question:
The function f is defined by f: x ↦ 7 − 5 cos 2x for 0 ≤ x ≤ π. The function g is defined by g: x ↦ x + π/2 for 0 ≤ x ≤ π.
a) State the range of f.
b) Sketch the graph of y = f(x).
c) Find the function fg.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (12 reviews)
a The range of f is the set of all possible values of y that f can take Since the function f is defi...View the full answer
Answered By
Darwin Romero
I use a hands-on technique and am approachable to my students. I incorporate fun into my lessons when possible. And while my easy-going style is suitable for many subjects and grades, I am also able to adapt my style to the needs of the student. I can describe myself as friendly, enthusiastic and respectful. As a teacher, we can easily get respect from the students if they would feel respected first
0.00
0 Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
You are an IT company and want to get a travel agency's network design, hardware, software, and security. Create a financial analysis of your project using NPV in an Excel spreadsheet Provide costs...
-
The function f is defined by f: x x + 2x 1 for 0 x 2. a) Express f(x) in the form (x + a) + b, where a and b are constants. b) State the range of f. c) Find an expression for f 1 (x), stating its...
-
The function f is defined by f : x 2x 2 12x + 7 for x i. Express f(x) in the form a(x b) 2 c. ii. State the range of f. iii. Find the set of values of x for which f(x) < 21. The function g is...
-
Use the normal approximation to the Poisson distribution with = 75. (a) What is the probability that a value from the Poisson distribution will be greater than 50? (b) What is the probability that a...
-
Key figures for Apple and Google follow. Required 1. Compute return on total assets for Apple and Google for the two most recent years. 2. Separate the return on total assets computed in part 1 into...
-
Reconsider the data presented in Exercise 6.21. (a) Rework both parts (a) and (b) of Exercise 6.21 using the x and s charts. (b) Does the s chart detect the shift in process variability more quickly...
-
If among \(n\) objects \(k\) are alike and the others are all distinct, the number of permutations of these \(n\) objects taken all together is \(n ! / k !\). (a) How many permutations are there of...
-
Ethanol (C2H5OH) melts a - 144 oC and boils at 78 C. The enthalpy of fusion of ethanol is 5.02 kj/mol, and its enthalpy of vaporization is 38.56 kj/mol. The specific heats of solid and liquid ethanol...
-
Consider the three stocks in the following table. Pi represents a price per share at time t (year), and Qi represents shares outstanding (numbers) at time t. Stocks Po Qo P Q1 P2 Q2 A 110 200m 120...
-
Coverall Inc. produces and sells a unique type of case for a standard size tablet computer that is guaranteed waterproof but still allows for regular functionality of the tablet. The company has just...
-
The diagram shows part of the curve with equation y = 1/x 2 + x. At point P on the curve, x = 1 and at point Q on the curve, x = 2. Find the shaded area. YA 5 4. 3- 2 1 0 FO P Pr I 1 I y= + X 1 2 3 4...
-
Find the area between the curve with equation y = x(x 1) and the line y = 3x.
-
The lead time for each of the parts in the SL72 (Problem 6-60) is one week, except for Part B, which has a lead time of two weeks. Develop a net materials requirements plan for an order of 800 SL72s....
-
Wallace Computer Company is a small, closely held corporation. Eighty percent of the shares are held by Derek Wallace, president. Of the remainder, 10% are held by members of his family and 10% by...
-
Financial Statement Analysis Case Case 1: BHP Billiton BHP Billiton (GBR) is the worlds largest diversified natural resources company. The company extracts and processes minerals, oil, and gas from...
-
The following facts pertain to a non-cancelable lease agreement between Lennox Leasing Company and Gill Company, a lessee. The lessee assumes responsibility for all executory costs. Instructions...
-
Montana Matts Golf Inc. was formed on July 1, 2014, when Matt Magilke purchased the Old Master Golf Company. Old Master provides video golf instruction at kiosks in shopping malls. Magilke plans to...
-
Suppose that a molecule has four bonding groups and one lone pair on the central atom. Suppose further that the molecule is confined to two dimensions (this is a purely hypothetical assumption for...
-
Suppose that S = $50, K = $45, = 0.30, r = 0.08, and t = 1. The stock will pay a $4 dividend in exactly 3 months. Compute the price of European and American call options using a four-step binomial...
-
Solve each problem. Find the coordinates of the points of intersection of the line y = 2 and the circle with center at (4, 5) and radius 4.
-
a. Canadian National Railway (CNR): 10%, Enbridge (ENB): 40%, Loblaw (L): 40%, Manulife Financial (MFC): 10% b. CNR: 50%, ENB: 30%, L: 10%, MFC: 10% c. CNR: 70%, ENB: 10%, L: 10%, MFC: 10% d. Which...
-
Refer to Exercise 7.85. Compute the correlation matrix of the returns of the four banks. Briefly describe what the correlations tell you. In exercise 7.85 An analyst recommends that you invest in a...
-
a. Bank of Montreal (BMO): 25%, Magna International (MG): 25%, Power (POW): 25%, Rogers Communication (RCL.B): 25% b. BMO: 20%, MG: 60%, POW: 10%, RCL.B: 10% c. BMO: 10%, MG: 20%, POW: 30%, RCL.B:...
-
A person standing on the edge of a high cliff throws a rock straight up with an initial velocity of 4 . 9 1 m / s . The rock misses the edge of the cliff as it falls back to earth. If the rocks hits...
-
A 0 . 2 5 0 kg ball is pressed against a vertical spring that has a spring constant of 7 5 . 0 N / m and is compressed 2 5 cm from its equilibrium position. The other end of the spring is firmly...
-
Three charged particles are located at the corners of an equilateral triangle as shown in the figure below ( let q = 1 . 0 0 C , and L = 0 . 8 5 0 m ) . Calculate the total electric force on the 7 ....
Study smarter with the SolutionInn App