Find all solutions of the equation.2 cos x - 1 = 0
A. x = + n? or x =
+ n?
B. x = + 2n? or x =
+ 2n?
C. x = + 2n? or x =
+ 2n?
D. x = + n? or x =
+ n?
Answer: C
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Solve the problem.When a person bends at the waist with a straight back, the force, F, exerted by the person's lower back muscles can be estimated with the formula where w is the person's weight, and ? is the angle made by the person's torso relative to the horizontal. Suppose that a
person bends at an angle of 30°. Determine the force exerted by the person's back muscles, and estimate the angle that requires the back muscles to exert a force of 208 pounds. Round the force to the nearest pound, and the angle to the nearest tenth, if necessary.
A. 26 pounds; 53.1° B. 300 pounds; 30° C. 300 pounds; 53.1° D. 173 pounds; 47.3°
If the following defines a one-to-one function, find its inverse. If not, write "Not one-to-one."f(x) = 4x2 + 8
A. f -1(x) = ±
B. f -1(x) =
C. Not one-to-one
D. f -1(x) =
Find an equation of the line containing the given points. Express your answer in slope-intercept form.(0, 0) and
A. y = x
B. y = 2
C. y = 2x
D. y =
Decide whether or not the functions are inverses of each other.f(x) = , g(x) =
A. Yes B. No