Question

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 places.)

Function      x-Value      Differential of x
f(x) = x4 + 4      x = −3      Δx = dx = −0.01
dy =

Δy=

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
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an...
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) F(x) = x4/5(x − 3)2 x =  
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an...
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) g(t) = |2t − 1| t =   
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an...
Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x3e−7x Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x3 − 6x2 + 9x + 6,    [−1, 4]
Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n...
Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer values. If an answer does not exist, enter DNE.) f(θ) = 4 cos(θ) + 2 sin2(θ)
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...
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
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:...
Consider the function below. f(x) = 7 + 4x2 − x4 (a) Find the interval of...
Consider the function below. f(x) = 7 + 4x2 − x4 (a) Find the interval of increase. (Enter your answer using interval notation.) (b) Find the interval of decrease. (Enter your answer using interval notation.) (c) Find the local minimum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (d) Find the local maximum value(s). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
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...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT