Given the function f(x), Priya finds f'(x) and then finds that f(4) = 8 and f'(4) = 10. Use this information to answer the following. Interpret f(4) = 8. A. When x = 8, the slope of the line tangent to f(x) is 4. B. When x = 4, the slope of the line tangent to f(x) is 8. C. The function f(x) goes through the point (4,8). D. The function f(x) goes through the point (8,4). Interpret f'(4) = 10 A. When x = 4, the slope of the line tangent to f(x) is 10. B. When x = 10, the slope of the line tangent to f'(x) is 4. C. When x = 10, the slope of the line tangent to f(x) is 4. D. When x = 4, the slope of the line tangent to f'(x) is 10. Find another interpretation of f'(4) = 10. A. When x = 10, the instantaneous rate of change in f'(x) is 4. B. When x = 10, the instantaneous rate of change in f(x) is 4. OC. When x = 4, the instantaneous rate of change in f'(x) is 10. OD. When x = 4, the instantaneous rate of change in f(x) is 10. O ΟΟ

55. Antibiotic treatment. A biologist has a colony of a toxic strain of bacteria that covers 500 mm² in a petri dish. She observes that the area, in square millimeters, of the colony of bacteria t hours after an antibiotic is applied is given by A(t) = 500e-0.06t a) Find the area of the colony of bacteria after 2 hr, 5 hr, and 10 hr.

Find all functions that have a derivative equal to 7x + 5. All functions have the form = + c for some constant c.

Suppose there is a function called f(x). How do you find the slope, m, of the line that is tanget to function f(x) at x=2.