Given that f(x) = b^x for b > 0, determine the values of b that will make the function f an increasing or a decreasing function.

Let Var(X) = 25 and Z= 2X + 5 Compute Var (Z)

Find the maximum of the function f defined as f(x) = 4x - 2x2 - 110 A

Find the derivative and simplify. y = (8x+7)(x² - 3x). y' = Find the derivative and simplify. f'(x) = f(x) = (x12 + 2x4 + 3)(5x³ - 1) For the function y = (x² + 4)(x³ − 9x), at (-3, 0) find the following. (a) the slope of the tangent line (b) the instantaneous rate of change of the function

T = - Q² + 17Q – 60 Find Q that maximizes the function:

AVC=10-0.03Q + 0.00005Q2TFC=60 What is the MC Function?

The value of the rice grows according to the function,V=ke2√t, how long should the dealer store the rice.

Which one of the following is the derivative of √k? O (1/2)k-1/2 ○ (1/2)k 2k² O Oo

for each question part only changes if you submit or change the answer. Assignment Scoring Your last submission is used for your score. Find the derivative of the function. y = : उदयर Find the derivative of the function. y = 7ex - 5x Find the derivative of the function. f(x) = ex-xe Find the derivative of the function. g(x) = 900(3e-0.1x) Find the derivative of the function. y = e+5 Find the derivative of the function. s = t³ et 1 The future value that accrues when $700 is invested at 7%, compounded continuously, is S(t) = 700e 0.07t where t is the number of years. (Round your answers to the nearest cent.) (a) At what rate is the money in this account growing when t = 6? $ per year (b) At what rate is it growing when t = 12? $ per year

(Marginal Analysis). A retailer has determined that the monthly sales of a watch are 150 units when the price is $50, but decrease to 120 units when the price is $60. Assume that the demand is a linear function of the price. (4a) Find the demand as a linear function of the price (4b) Find the revenue R as a function of x (4c) Approximate the change in revenue for a one-unit increase in sales when x = 141