At time t (in days), the size S of a population of butterflies is given by the formula S= 600 1+49(0.6) Use the graph above and your knowledge of derivatives to answer the following: 1. What is the growth rate after 10 days? 2. When does the maximum growth rate occur? 3. Explain why the shape of the graph looks this way. .

Q: Starting with the graph of f(x) = 4^x, find a formula for the function that results from: a.…

A: The given function is   f(x) = 4^x a. Shifting 4 units upwards                  f1(x) = 4 + 4^x b.…

Q: The equation V (t) = 50000 (0.92) models the value of a car after "t" years. To the nearest whole…

A: Years

Q: Approximate to four decimal places f(x)=ex when x=-2.7183

A: Given function is f(x) = ex  Given that x = -2.7183

Q: 2. A manufacturer wants to design an open box having a square base and a surface area of 104 square…

A:

Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: The graph of the derivative of a function is given. y For which x is the (original) function…

A: The graph of the derivative (f') of the graph f is given. Now, the original function f is increasing…

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: Is TSI (y) a function of years (x)? How do you know this?

A: Is TSI (y) a function of years (x), then by mathematically we can say that

Q: Please assist with the steps for the problem below    A women's clothing chain store, found that t…

A: S(t) = 5,000(1+e^0.3t)Rate of change can be found using derivative.

Q: Use the power rule to obtain the derivative of the first term. 10(x-1/3) = 10( dx Submit Skip (you…

A: