1. Provide an appropriate response. Find x to two decimal places. x = 7,000e^0.11

Group of answer choices

7813.95

7831.95

8320.50

7975.01

2. Provide an appropriate response. Find t to four decimal places. e^-t = 0.06

Group of answer choices

2.6134

2.8134

-2.8134

2.9134

3. Solve the problem. What will the value of an account (to the nearest cent) be after 8 years if $100 is invested at 6.0% interest compounded continuously?

Group of answer choices

$161.61

$159.38

$849.47

$175.32

4. Solve the problem. How long will it take for the value of an account to be $890 if $350 is deposited at 11% interest compounded continuously? Round your answer to the nearest hundredth.

Group of answer choices

10.41 yr

8.48 yr

9.33 yr

0.93 yr

5. Solve the problem. Suppose that $8000 is invested at an interest rate of 5.5% per year, compounded continuously. How long would it take to double the investment?

Group of answer choices

2 yr

13.6 yr

11.6 yr

12.6 yr

6. Find f'(x). f(x) = 9e^x - 6x + 2

Group of answer choices

9e^x - 6x

9e^x - 6

9xe^x-1 - 6

9e^x - 4

7. Find f'(x). f(x) = x⁴ + 5e^x

Group of answer choices

4x + 5e^x

4x³ + e^x

4x³ + 5e^x

4x³ + 5xe^x-1

8. Findf'(x). f(x) = 4 ln x + ln x⁶+ 8e^x

9. Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 5e^x; x = 0

Group of answer choices

y = 5x + 5

y = 5x - 5

y = x + 5

y = 5x

10. Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 1 + 3e^x; x = 1

Group of answer choices

y = 3ex + 6e + 1

y = 6ex - 1

y = 3ex - 6e + 1

y = 3ex + 1

11. Differentiate. Find f'(t) for f(x) = (2x - 2)(3x³ - x² + 1)

Group of answer choices

f'(x) = 6x³ + 8x² - 24x + 2

f'(x) = 18x³ + 24x² - 8x + 2

f'(x) = 24x³ - 24x² + 4x + 2

f'(x) = 24x³ - 8x² + 24x + 2

12. Differentiate. Find f'(x) for f(x) = (5x³ + 4)(3x⁷ - 5).

Group of answer choices

f'(x) = 150x⁹ + 84x⁶ - 75x

f'(x) = 150x⁹ + 84x⁶ - 75x²

f'(x) = 20x⁹ + 84x⁶ - 75x

f'(x) = 20x⁹ + 84x⁶ - 75x²

17. Find the derivative. Find f'(x) for f(x) = (4x² + 3x)².

Group of answer choices

f'(x) = 64x³ + 36x² + 18x

f'(x) = 32x³ + 36x² + 9x

f'(x) = 32x³ + 36x² + 18x

f'(x) = 64x³ + 72x² + 18x