Question: Using Linear Approximation, estimate for a change in x from x = a to x = b. Use the estimate to approximate (b), and

Using Linear Approximation, estimate Δƒ for a change in x from x = a to x = b. Use the estimate to approximate ƒ(b), and find the error using a calculator.

ƒ(x) = x^1/4, a = 16, b = 16.5

Step by Step Solution

★★★★★

3.39 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 Let fx x4 a 16 and Ax 05 Then fx x34 and fa f16 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Calculus 4th Questions!

Using the data in Problem 14.32, construct a 95% confidence interval for the slope. In Problem r 3 6 2 4 58 4 6 5

Using Linear Approximation, estimate for a change in x from x = a to x = b. Use the estimate to approximate (b), and find the error using a calculator. (x) = x 1/3 , a = 27, b = 30

Using Linear Approximation, estimate for a change in x from x = a to x = b. Use the estimate to approximate (b), and find the error using a calculator. (x) = x 1/3 , a = 8, b = 9

Using Linear Approximation, estimate for a change in x from x = a to x = b. Use the estimate to approximate (b), and find the error using a calculator. (x) = 1/x , a = 100, b = 98

Using Linear Approximation, estimate f for a change in x from x = a to x = b . f ( x ) = x 1 4 , a = 8 1 , b = 8 1 . 4 Consider the work to estimate f . f ' ( x ) = 1 4 x - 3 4 f ' ( a ) = 1 4 * 8 1...

Please only help with questions 1, 3,7,11, 13, 17, 21. Thank you! 3.10 EXERCISES 15-18 (a) Find the differential dy and (b) evaluate dy for the 1-4 Find the linearization L(x) of the function at a....

Need help with problems 1-10. Answers only is fine if you want. I'll give helpful rating. Select the correct answer. Find the linearization of the function x) = x3 1 at a = 3, and then use it to...

3/3/6 A softball is thrown off of a building that is 80 meters high at a velocity of 10 meters per second. Its height, in meters, after t Seconds is h(t) = - 4.91~ + 10t+80. Find the velocity of the...

Suppose f(x) is continuous on [a,b]. The average value of the function f(x) on the interval [a,b] is Suppose f(x) is continuous on its domain [a,b]. The Mean Value Theorem for Integrals tells us that...

Using Linear Approximation, estimate Af for a change in x from x = a to x = b. f(x) = \\x, a=9, b=10 (Use decimal notation. Give your answers to six decimal places.) Af = Use the estimate to...

Define smart growth.

Predict the ordering of the C-O bond lengths in CO, CO2, and CO32-.

3. The assignment model is solved with the _________ method.

If you were in Gallaghers position, what would your next career move be? LO.1

Suppose a body has temperature B and is cooling toward room temperature of 20C according to the function B(t) = 20 + 17e-t where t is measured in hours. A $ 10 thermocouple can detect a difference of...

Using a computer or calculator, estimate the following limits. Sketch the function. (the function is defined only for positive values of x). lim,0x"

Some dangerously radioactive and toxic radium was dumped in the desert in 1950. It has a half-life of 50 years, and the initial level of radioactivity was r = 10.0 rads. Nobody remembers where it...

BLADES, INC. CASE Assessment of Future Exchange Rate Movements As the chief financial officer of Blades, Inc., Ben Holt is pleased that his current system of exporting "Speedos" to Thailand seems to...

Use The Wall Street Journal or another data source to record the interest rate differential between the interest rate of South Korea and the U.S. rate over the last five or so quarters. Then, review...

Wingate Company, a wholesale distributor of electronic equipment, has been experiencing losses for some time, as shown by its most recent monthly contribution format income statement: Sales Variable...