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For this question, you are going to need the following trig identities.
sin(3x) = 3 sin(x) - 4 (sin(x))^3
cos(3x) = 4 (cos(x))^3 - 3cos(x)
Consider the function
f(x) = 23sin(x) + 3sin(3x)
Find the maximum value attained by the function f on the whole real line.
Consider that two particles are traveling the paths of the following functions: If each particle is to begin at one point of intersection at the same time and travel to the other point of intersection (at the same velocities)
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
find the general solution of the given differential equation:
Solve this linear problem graphically and determine optimal quanitities of A, B, and value of Z.
All of the graphs in occur in real life. Find a real-life application of each of the below graph and describe the characteristics of each application as related to the graph.
What is the probability that one is green and the other is blue? A jar contains 8 red marbles, 9 blue marbles, and 6 green marbles
A beacon on a lighthouse 2000m away from the nearest point P on a straight shoreline revolves at the rate of 10 pi radians per minute. How fast is the beam of the light moving along the shoreline when it is 500m from P?
Given a rational function, identify a method which can be used to determine if there is a vertical asymptote.
At Dot Com, a large retailer of popular books, demand is constant at 32,000 books per year. The cost of placing an order to replenish stock is $10, and the annual cost of holding is $4 per book.
Which city had the greater absolute growth in population? Which city had the greater percentage growth in population?
Two point charges q1 and q2 separated by a distance of 3m experience a mutual force of 16x10^-15N. Calculate the magnitude of charge when q1=q2=q. What will be magnitude of force if separation between the charges is changed to 6m?
Show that every subfield of complex numbers contains rational numbers. Show that the prime field of real numbers is rational numbers. Show that the prime field of complex numbers is rational numbers
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