Question

Calculate the average rate of change of the given function f over the intervals [a, a...

Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0.01, 0.001, and 0.0001.) HINT [See Example 4.] (Round your answers to five decimal places.)

f(x)=7/x; a=2

Math   Calculus   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

For the interval [2,2+1]

For the interval [2,2+0.1]

For the interval [2,2+0.01]

​​​​​​​

For the interval [2,2+0.001]

​​​​​​​

For the interval [2,2+0.0001]

​​​​​​​

​​​​​​​Note - Post any doubts/queries in comments section.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Calculate the average rate of change of the given function f over the intervals [a, a...
Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0.01, 0.001, and 0.0001.) HINT [See Example 4.] (Round your answers to five decimal places.) f(x) = 3 x ; a = 4
Calculate the average rate of change of the given function f over the intervals [a, a...
Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. (Technology is recommended for the cases h = 0.01, 0.001, and 0.0001.) HINT [See Example 4.] (Round your answers to seven decimal places.) f(x) = x^2/4 ; a = 1 h = 1    h = 0.1      h = 0.01      h = 0.001 h = 0.0001
Calculate the average rate of change of the given function f over the intervals [a, a...
Calculate the average rate of change of the given function f over the intervals [a, a + h] where h = 1, 0.1, 0.01, 0.001, and 0.0001. f(x) = 8x2;  a = 0 h = 1     h = 0.1     h = 0.01     h = 0.001     h = 0.0001    
1)Calculate the left Riemann sum for the given function over the given interval, using the given...
1)Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) HINT [See Example 2.] f(x) = 40 − 120x over [−1, 1], n = 4 2)Calculate the left Riemann sum for the given function over the given interval, using the given...
Calculate the left Riemann sum for the given function over the given interval, using the given...
Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) HINT [See Example 2.] f(x) = e−x over [−3, 3], n = 3
Calculate the left Riemann sum for the given function over the given interval, using the given...
Calculate the left Riemann sum for the given function over the given interval, using the given value of n. (When rounding, round your answer to four decimal places. If using the tabular method, values of the function in the table should be accurate to at least five decimal places.) HINT [See Example 2.] f(x) = 26 − 78x over [−1, 1], n = 4
3)Calculate the average rate of change of the given function over the given interval x 0...
3)Calculate the average rate of change of the given function over the given interval x 0 0.5 1 1.5 2 D(x) 0 4.2 6.5 10.4 14.7 a) D(x); [0.5, 2] b) f (x) = 6x2 – 2x; [2, 5] 4) 8 points each - Use the rules to find the derivatives of the following functions a) f (x) = 9x8 – 7x5 – 10 b) g(x) = 5/x6 – 2/x5 c) h (x) = x6(3x4 – 2x2)
Consider the function as representing the value of an ounce of palladium in U.S. dollars as...
Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.† R(t) = 230 + 40t3; t = 1 Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.) HINT [See Example 1.] (Round your answers to one decimal...
Estimate the instantaneous rate of change of the function f(x)=−x2+2x+1 at x=2 using the average rate...
Estimate the instantaneous rate of change of the function f(x)=−x2+2x+1 at x=2 using the average rate of change over successively smaller intervals.
Velocity of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a...
Velocity of a Motorcycle The distance s (in feet) covered by a motorcycle traveling in a straight line and starting from rest in t sec is given by the function s(t) = −0.1t3 + 4t2 + 26t (0 ≤ t ≤ 3) Calculate the motorcycle's average velocity (in ft/sec) over the time interval [2, 2 + h] for h = 1, 0.1, 0.01, 0.001, 0.0001, and 0.00001. (Round your answers to four decimal places.) h = 1 ___________ h =...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT