PRE CALCULUS PROBLEMS AND SOLUTIONS(Part - 6)

Problem 1 :

In a video game, two characters follow paths represented by r = √3 + 2 cos (θ) and r = 4 cos θ respectively. The characters travel at different speeds and could collide with each other. Which values of θ correspond to possible collision points? Check all that apply

Solution :

Problem 2 :

Which coordinates represent the plotted point? Check all that apply.

(√13, 146.3°)

(√13, 213.7°)

(-√13, -33.7°)

(-√13, -146.3°)

(-3, 2)

(3, -2)

(-2, 3)

Solution :

Problem 3 :

A car tire has a radius of 15 inches. Suppose the car is traveling at 60 miles per hour (1 mile = 5280 feet). What is the approximate rate of spin, in revolutions per minute, of the tire? Round your answer to the nearest whole number. The rate of spin is appoximately ____ revolutions perminute.

Solution :

Problem 4 :

Solution :

Problem 5 :

A)  -√3

B)  1

C)  √3

D)  -1

Solution :

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