Question

Consider the following. g(s)= S^2/81 (THIS READS S squared divide by 81) (a) Use a graphing...

Consider the following. g(s)= S^2/81 (THIS READS S squared divide by 81)

(a) Use a graphing utility to graph the function and visually determine the intervals on which the function is increasing, decreasing, or constant. (Enter your answers using interval notation. If an answer does not exist, enter DNE.)

increasing-

decreasing-

constant-

(b) Make a table of values to verify whether the function is increasing, decreasing, or constant on the intervals you identified in part (a). (Round your answer to three decimal places. If an answer does not exist, enter DNE.

     s     g(s)
    -9
   -1
    0
    1
     9

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
1. Consider the following. h(x)=x 3sqrt(x-5) Find the critical numbers. (Enter your answers as a comma-separated...
1. Consider the following. h(x)=x 3sqrt(x-5) Find the critical numbers. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = Find the open intervals on which the function is increasing or decreasing. Use a graphing utility to verify your results. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing: decreasing: 2. Compare the values of dy and Δy for the function. (Round your answers to four decimal...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x...
question #1: Consider the following function. f(x) = 16 − x2,     x ≤ 0 −7x,     x > 0 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.) x = (b) Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) increasing     decreasing   question#2: Consider the following function. f(x) = 2x + 1,     x ≤ −1 x2 − 2,     x...
1) Use the First Derivative Test to find the local maximum and minimum values of the...
1) Use the First Derivative Test to find the local maximum and minimum values of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.): g(u) = 0.3u3 + 1.8u2 + 146 a) local minimum values:    b) local maximum values:    2) Consider the following: f(x) = x4 − 32x2 + 6 (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing:    decreasing:...
Find the open intervals on which the function is increasing or decreasing. (Enter your answers using...
Find the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation. If an answer does not exist, enter DNE.) f(x) = sin(x) + cos(x), 0 < x < 2π
Consider the following: y = 3x2-6x+1 a.)  Find the interval(s) of increase. Find the interval(s) of decrease....
Consider the following: y = 3x2-6x+1 a.)  Find the interval(s) of increase. Find the interval(s) of decrease. b.)  Find the local maximum and minimum values. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c.) Find the interval(s) where the function is concave up. Find the interval(s) where the function is concave down. Find the inflection points. (If an answer does not exist, enter DNE.) d.) Determine the end behavior of the graph. e.) Use the...
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 +...
Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 + x − 30 (a) Find the open intervals on which f ′(x) is increasing or decreasing. (Enter your answers using interval notation.) increasing (−12​,∞) decreasing (−∞,−12​) (b) Find the open intervals on which the graph of f is concave upward or concave downward. (Enter your answers using interval notation.) concave upward concave downward (c) Find the x-values of the relative extrema of f. (Enter...
Consider the following. f(x) = 4x3 − 6x2 − 24x + 4 (a) Find the intervals...
Consider the following. f(x) = 4x3 − 6x2 − 24x + 4 (a) Find the intervals on which f is increasing or decreasing. (Enter your answers using interval notation.) increasing decreasing (b) Find the local maximum and minimum values of f. (If an answer does not exist, enter DNE.) local minimum value local maximum value (c) Find the intervals of concavity and the inflection points. (Enter your answers using interval notation.) concave up concave down inflection point (x, y) =
Suppose the function g(x) has a domain of all real numbers except x = −8. The...
Suppose the function g(x) has a domain of all real numbers except x = −8. The second derivative of g(x) is shown below. g ''(x) = (x−1)(x + 5) (x + 8)7 (a) Give the intervals where g(x) is concave up. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (b) Give the intervals where g(x) is concave down. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) (c) Find...
Consider the function below. (If an answer does not exist, enter DNE.) g(x) = 250 +...
Consider the function below. (If an answer does not exist, enter DNE.) g(x) = 250 + 8x3 + x4 (a) Find the interval of increase. (Enter your answer using interval notation.) Find the interval of decrease. (Enter your answer using interval notation.) (b) Find the local minimum value(s). (Enter your answers as a comma-separated list.) Find the local maximum value(s). (Enter your answers as a comma-separated list.) (c) Find the inflection points. (x, y)=(smaller x-value) (x, y)=(larger x-value) Find the...
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
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. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f (x, y) = xy − 5x − 5y − x2 − y2 local maximum value(s)     local minimum value(s)     DNE saddle point(s)     (x, y, f) =DNE
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT