Determine the average rate of change for the function.f(x) = 
x + 1
A. - 1
B. - 
C. 
D. 1
Answer: C
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Solve the problem.An object undergoes oscillatory motion about its equilibrium position according to the following functional relationship between its instantaneous displacement, f(t), and time, t:
where t = 0 marks a reference point in time that is not necessarily the beginning of oscillation.Find ao (if it is not zero), three nonzero cosine terms (if they exist), and three nonzero sine terms (if they exist) of the Fourier series for this description of motion.
A. f(t) = 
B. f(t) = 
C. f(t) = 
D. f(t) = 
Use the Hamilton method to make the assignment.In a recent census, Iowa's population in thousands was 4,503, Illinois' was 8,220, and Indiana's was 5,300. Allocate 28 members of the U.S. House of representatives to these three states.
A. Iowa: 8; Illinois: 13; Indiana: 7 B. Iowa: 7; Illinois: 13; Indiana: 8 C. Iowa: 6; Illinois: 15; Indiana: 7 D. Iowa: 10; Illinois: 11; Indiana: 7
Classify as true or false.If a and b are even, then GCD(a, b) must be 2.
A. True B. False
Provide an appropriate response.Consider the selection of seven apples from a barrel of 75 apples. Is this a combination, a permutation, or neither?
A. Permutation B. Combination C. Neither