mth135

Participation Exercise for Week 3 July 28, 2021

Name___________________________________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Provide an appropriate response.

1) Find t to four decimal places.

= 0.06 1) _______

A) -2.8134 B) 2.8134 C) 2.9134 D) 2.6134

2) Find: 5000 2) _______

A) 1 B) 5000 C) 0 D) ∞

Solve the problem.

3) If is invested at compounded continuously, what is the amount in the account after 10 years?

3) _______

A) B) $8442.52 C) D)

Find (x).

4) f(x) = -2 + 9x - 4 4) _______

A) -2 + 5 B) -2 + 9 C) -2x + 9 D) -2 + 9x

Find the equation of the line tangent to the graph of f at the indicated value of x.

5) f(x) = 1 + 3 ; x = 1 5) _______

A) y = 3ex + 6e + 1 B) y = 3ex - 6e + 1 C) y = 6ex - 1 D) y = 3ex + 1

Provide an appropriate response.

6) Use graphical approximation methods to find the point(s) of intersection of f(x) = and g(x) = to two decimal

places. 6) _______

A) (0.44, 0.67), (4.18, 2.04) B) (1.23, 3.41)

C) (0.87, 0.42), (1.23, 3.41) D) (-0.87, 0.42)

Solve.

7) The resale value R (in dollars) of a company car after t years is estimated to be given by What is the

rate of depreciation (in dollars per year) after 5 years? 7) _______

A) -$ 1378/yr B) -$ 1157/yr C) -$ 15,144/yr D) -$ 1641/yr

Differentiate.

8) Find f'(x) for f(x) = (2x - 4)(2 - + 1). 8) _______

A) f'(x) = 4 - 10 - 30x + 2 B) f'(x) = 12 + 30 - 10x + 2

C) f'(x) = 16 - 30 + 8x + 2 D) f'(x) = 16 - 10 + 30x + 2

9) Find f'(t) for f(x) = 9) _______

A) - B) - C) - D)

Solve the problem.

10) A publishing company has published a new magazine for young adults. The monthly sales S (in thousands) is given

by S(t) = , where t is the number of months since the first issue was published. Find S(3) and S'(3) and interpret the

results. 10) ______

A) At three months, the monthly sales are $2, 400,000 and increasing at 64,000 magazines per month.

B) At three months, the monthly sales are $480,000 and decreasing at 64,000 magazines per month.

C) At three months, the monthly sales are $2,400,000 and increasing at 800,000 magazines per month.

D) At three months, the monthly sales are $480,000 and increasing at 64,000 magazines per month.