Question

In: Math

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2. 2) Find...

1) Find the intervals of increasing and decreasing for f(x) = 2x3 – 4x2.
2) Find the local minimum and maximum points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. 3) Find the inflection points, if any, of f(x) = 2x3 – 15x2 + 36x – 14. Give the intervals of concavity upward and downward for f(x). 4) Find the absolute maximum and minimum of f(x)= 2x3 – 15x2 + 36x – 14 on the interval [0,5]. 5) Sketch the graph of y = 2x3 – 15x2 + 36x – 14 using the information from #2-4 along with the intercepts. 6) Given C = .02x3 + 55x2 + 1250, find the number of units x that produces the minimum average cost per unit, ?. ̅ 7) Find the maximum, minimum, and inflection points of f(x) = x4 – 18x2 + 5.

Expert Solution

Solution : ( 1 )

-----------------------------------------------------------------------------------------------------------------------------------------------

Solution : ( 2 )

-----------------------------------------------------------------------------------------------------------------------------------------------

Solution : ( 3 )

milcah answered 1 year ago

f(x) = 7xex (a) Find the intervals on which f is increasing or decreasing. (Enter your...

f(x) = 7xex (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.)

For f(x)= cos2x + sinx, find the intervals where the function is increasing, decreasing, relative extrema,...

For f(x)= cos2x + sinx, find the intervals where the function is increasing, decreasing, relative extrema, concavity, and points of inflection on the interval [0,2π)

find all intervals on which f(x)=x^3+6x^2+9x+1 is decreasing

f(x)= x5 − 5x Find the x− and y−intercept, critical numbers, increasing and decreasing intervals, local...

f(x)= x5 − 5x Find the x− and y−intercept, critical numbers, increasing and decreasing intervals, local minimum and maximum, f''(x), intervals of concavity up and down, and inflection points.

a) Find the intervals over which f is increasing or decreasing. b) Find the local maximum...

a) Find the intervals over which f is increasing or decreasing. b) Find the local maximum and minimum values of f. c) Find the concavity intervals and the inflection points. a. ?(?) = 2x 3 + 3? 2 − 26? b. ?(?) = 4x 3 + 3? 2 − 6? + 4 c. ?(?) = ? 4 − 2? 2 + 1

Find the intervals where the graph of f(x)=2x^4-3x^2 is increasing, decreasing, concave up and concave down....

Find the intervals where the graph of f(x)=2x^4-3x^2 is increasing, decreasing, concave up and concave down. Find any inflection points, local maxima, or local minima. If none exist, write NONE. You must do number line sign charts to receive any credit.

find the intervals where g(x)=-3x(5x+2)7 is increasing and where it is decreasing.

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5) (a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.

Suppose f ' (x) = x2 - 8x + 15 = (x - 3) (x - 5)(a) Identify the intervals of x-values on which f is increasing and the intervals on which f is decreasing.(b) Locate where the local maximum point and the local minimum point occur.(c) Identify the intervals of x-values on which f is concave up and the intervals on which f is concave down.(d) Locate any points of inflection.

1) Find the intervals on which f is increasing and the intervals on which it is...

1) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= -x^3-6x 2) Find the intervals on which f is increasing and the intervals on which it is decreasing. f(x)= x^4/4+x^3+x^2 3) Locate the critical points of the following function. Then use the Second Derivative Test to determine whether they correspond to local maxima, local minima, or neither. f(x)= -x^3-3x^2

Given f(x) = x^4 - 4x^3 1) find the intervals on which f is increasing or...

Given f(x) = x^4 - 4x^3 1) find the intervals on which f is increasing or decreasing. 2) find the local maximum and minimum values of f. 3) find the intervals of concavity and the inflection points