# calculus midterm

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11.

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question.

Does the graph represent a function? Explain

12.

Find the vertical asymptotes, if any, of the graph of the rational function. Show your work.

f(x) =

13.

The formula A = 118e0.024t models the population of a particular city, in thousands, t years after 1998. When will the population of the city reach 140 thousand? Show your work.

14.

Find the specified vector or scalar. Show your work.

u = -4i + 1j and v = 4i + 1j; Find .

15.

Find the exact value of the trigonometric function. Do not use a calculator.

16.

Find the x-intercepts (if any) for the graph of the quadratic function.

6x2 + 12x + 5 = 0

17.

Use the compound interest formulas A = Pert and A = P to solve.

Suppose that you have \$11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually? Show your work.

18.

Find functions f and g so that h(x) = (f ∘ g)(x).

h(x) = (6x – 14)8

19.

Begin by graphing the standard absolute value function f(x) = | x |. Then use transformations of this graph to describe the graph the given function.

h(x) = 2 | x | + 2

20.

Find the reference angle for the given angle. Show your work.

-404°

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