Log in
Mathematics
1
answer
0
watching
69
views

If the function has the local minimum, what are the values of a and b?

(b) Which of the tangent lines to the curve in part (a) has the smallest slope?

Watch
1
answer
0
watching
69
views

For unlimited access to Homework Help, a Homework+ subscription is required.

Lelia Lubowitz
Lelia LubowitzLv2
22 May 2020

Unlock all answers

Get 1 free homework help answer.
Already have an account? Log in
Share

Related questions

The point lies on the curve .

  1. If Q is the point , use your calculator to find the slope of the secant line PQ ( correct to six decimal places) for the following values.

    1. 0

    2. 0.4

    3. 0.49

    4. 0.499

    5. 1

    6. 0.6

    7. 0.51

    8. 0.501

  2. Using the results of part (a), guess the value of the slope of the tangent line to the curve at

  3. Using the slope from part (b), find an equation of the tangent line to the curve at .

  4. Sketch the curve, two of the secant lines, and the tangent line.

The point lies on the curve .

  1. If is the point use your calculator to find the slope of the secant line ( correct to six decimal places) for the following values of .

    1. 1.5

    2. 1.9

    3. 1.99

    4. 1.999

    5. 2.5

    6. 2.1

    7. 2.01

    8. 2.001

  2. Using the results of part (a), guess the values of the slope of the tangent line to the curve at .

  3. Using the slope from part (b), find an equation of the tangent line to the curve at .

A tank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. The values in the table show the volume V of water remaining in the tank (in gallons) after t minutes.

(a) If P is the point s15, 250d on the graph of V, find the slopes of the secant lines PQ when Q is the point on the graph with t − 5, 10, 20, 25, and 30.

(b) Estimate the slope of the tangent line at P by averaging the slopes of two secant lines.

(c) Use a graph of the function to estimate the slope of the tangent line at P. (This slope represents the rate at which the water is flowing from the tank after 15 minutes.)

Weekly leaderboard

Home
Homework Help 3,900,000
Mathematics 240,000
Start filling in the gaps now
Log in