# college algebra

Find the local maximum and minimum values of the function and the value of x at which each occurs. State each answer correct to two decimal places. (If an answer does not exist, enter DNE.)
U(x)=x√(5-x)

1. 👍 0
2. 👎 0
3. 👁 142

## Similar Questions

1. ### Calculus

Find a cubic function f(x) = ax^3 + bx^2 + cx + d that has a local maximum value of 3 at x = −2 and a local minimum value of 0 at x = 1.

2. ### Calculus - Functions?

#1. A cubic polynomial function f is defined by f(x) = 4x^3 +ax^2 + bx + k where a, b and k are constants. The function f has a local minimum at x = -1, and the graph of f has a point of inflection at x= -2 a.) Find the values of

3. ### Math

Use the given graph of the function on the interval (0,8] to answer the following questions. Where does the function f have a local maximum? Answer (separate by commas): x= Where does the function f have a local minimum? What is

4. ### Calculus

For what values of c does the function f (x) = cx + arctan x have exactly one local maximum and one local minimum?

1. ### Calculus

Let g be a function that is defined for all x, x ≠ 2, such that g(3) = 4 and the derivative of g is g′(x)=(x^2–16)/(x−2), with x ≠ 2. a.Find all values of x where the graph of g has a critical value. b.For each critical

2. ### Algebra 2

1. By graphing the system of constraints, find the values of x and y that maximize the objective function. 2

A continuous function f, defined for all x, has the following properties: 1. f is increasing 2. f is concave down 3. f(13)=3 4. f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f. A. For

4. ### Calculus

Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function.

1. ### Calculus

Suppose f '' is continuous on (−∞, ∞). (a) If f '(1) = 0 and f ''(1) = −1, what can you say about f ? 1)At x = 1, f has a local maximum. 2)At x = 1, f has a local minimum. 3)At x = 1, f has neither a maximum nor a minimum.

2. ### calculus

If f(x) = 3 cos^2(x) − 6 sin(x) 0 ≤ x ≤ 2π Find the intervals of increase and decrease, the intervals of concave up and concave down, local maximum values, local minimum values, and inflection point

3. ### math

find the local maximum and minimum values of f using both the first and second derivative tests. which method do you prefer? f(x) = x/(x^2+4)

4. ### Calculus

Find the values of x that give relative extrema for the function f(x)=3x^5-5x^3 A. Relative maximum: x= 1; Relative minimum: x=sqrt(5/3) B. Relative maximum: x=-1; Relative minimum: x=1 C. Relative maxima: x=+or- 1; Relative