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Chapter 8: Q. 39 (page 550)

Use the method of adding y-coordinates to graph each function.

f(x)=sinx+sin(2x)

Short Answer

Expert verified

The required graph is

Step by step solution

01

Step 1. Given Information 

The given function isf(x)=sinx+sin(2x)

02

Step 2. Explanation

Plot the component functions in the same coordinate system.

Select different values for x to plot the points on the graph of y.

03

Step 3. Graph

Plot the graph by using the points in the table.

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Most popular questions from this chapter

Determining the Height of an Aircraft Two sensors are spaced 700 feet apart along the approach to a small airport. When an aircraft is nearing the airport, the angle of elevation from the first sensor to the aircraft is 20掳, and from the second sensor to the aircraft it is 15掳. Determine how high the aircraft is at this time.

An object of mass m (in grams) attached to a coiled spring with damping factor b (in grams per second) is pulled down a distance a (in centimeters) from its rest position and then released. Assume that the positive direction of the motion is up and the period is T (in seconds) under simple harmonic motion.

(a) Develop a model that relates the distance d of the object from its rest position after t seconds.

(b) Graph the equation found in part (a) for 5 oscillations using a graphing utility.

Given values:m=20,a=15,b=0.75,T=6

The displacement d (in meters) of an object at time t (in seconds) is given d=5cos(蟺2t)

(a) Describe the motion of the object.

(b) What is the maximum displacement from its resting position?

(c) What is the time required for one oscillation?

(d) What is the frequency?

an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up:

a=6,T=蟺seconds

Circumscribing a TriangleShow that sinAa=sinBb=sinCc=12r

where ris the radius of the circle circumscribing the triangle PQR whose sides are a, b, and c, as shown in the figure.
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