Diana has available 3200 yards of fencing and wishes to enclose a rectangular area. (a) Express the area A of the rectangle as a function of the width W of the rectangle. (b) For what value of W is th

Math

Application of derivatives Solutions

11. [-/0.8 Points) DETAILS MY NOTES ASK YOUR TEACHER Consider the following function. (If an answer does not exist, enter DNE.) -2 f(x) 1 + x2 (a) Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Increasing: Decreasing: (b) Find the relative maxima and relative minima, if any, of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) Relative maximum value(s): Relative minimum value(s): (c) Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Concave upward: Concave downward: (d) Find the inflection point(s), if any, of the function. (If an answer does not exist, enter DNE.) (x,y) = -( (smaller x-value) (x,y) = -( (larger x-value)

Calculus

Application of derivatives Solutions

Which one of the following statements about the definite integral ᵇ ∫a f(x)dx is false? a) ᵇ∫a f(x)dx is defined when f(a) exists and is continuous for all x∈ (a, b). b) ᵇ∫a f(x)dx> 0 if a and b are both positive. c) ᵇ∫a f(x)dx> 0 if f(x) > 0 for all z € [a, b]. d) ᵇ∫a f(x)dx = F(b) – F(a) where F'(x) = f(x).

Math

Application of derivatives Solutions

a Suppose that the cost function for a product is given by C(x)=0.002x3 + 9x + 7,443. Find the production level (that is, the value of x) that will produce the minimum average cost per unit (x). The production level that produces the minimum average cost per unit is x= (Round to the nearest whole number as needed.) Clear all Check answer Help me solve this Textbook Ask my instructor