Question: It can be shown that if |d2y / dx2| M on a closed interval with c and c + Ax as end points, then

It can be shown that if |d2y / dx2| ≤ M on a closed interval with c and c + Ax as end points, then
|Δy - dy| ≤ 1/2M(Δx)2
Find, using differentials, the change in y = 3x2 - 2x + 11 when x increases from 2 to 2.001 and then give a bound for the error that you have made by using differentials.

Step by Step Solution

★★★★★

3.53 Rating (167 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

y 3x 2 2x 11 x 2 dx 000... 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

Document Format (1 attachment)

955-M-C-D-E (1758).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Let Î± and Î² be any two constants such that a The base of the rectangle has length Î² Î± and the height of the rectangle is 1/ ( Î²...

It can be shown that for any data y 1 , y 2 , c , y n the smallest value for is obtained by setting M = y. Explain why this implies that the fitted values in ANOVA are the sample averages of the...

It can be shown that the square of a standard normal variable has the chi-square distribution with one degree of freedom. Use that fact to show, for a chi-square curve with one degree of freedom,...

Please answer all the required questions in detail I hope the answer is not copy-paste I hope that the answer will be according to the concepts in the chapter 3 The following article summarizes the...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Please help me with calculus puctures are all attached! But only do these problems 7.2:numbers 3-10 all 7.3: number 3a and b (with graph of the rectangles), 16, 39 (right endpoints only - show the 3...

21. [0/0.43 Points] DETAILS PREVIOUS ANSWERS BERRAPCALC7 3.7.005. MY NOTES ASK YO Find the differential of the function. x +9 y : x2 + 1 (9 + x) (2x) dy = ( 1 + x 2 ) 2 dx X Evaluate it at the given...

,, Solve the following please Use the aflached Matlab code as a basis to solve the following ordinary differential equation using Euler's method, with timestep of Q 1, from r-0 10 1-100 dy de = sin...

! Kindly solve the following Use the aflached Matlab code as a basis to solve the following ordinary differential equation using Euler's method, with timestep of Q 1, from r-0 10 1-100 dy de = sin...

(a) Write down the exact solution to the initial value problem du/dt = 2/7u, u(0) = 1/3. (b) Suppose you make the approximation u(0) = .3333. At what point does your solution differ from the true...

In quadrilateral PQRS, m angle x=n-18 and m angle y=n-71. Which is the value of n ?

Mutual funds. Exercise 2.28 (page 101) gives data on the returns from 23 Fidelity sector funds in 2002 (a down-year for stocks) and 2003 (an up-year). (a) Make a scatterplot if you did not do so in...

Leadership roles on the project management team include: a. those that identify trends and act on them b. those that prevent problems c. those that maintain the vision and goals of the project within...

If you buy a new car and try to sell it in the first yearindeed, in the first few weeks after you buy itthe price that you get is substantially less than the original price. Use your knowledge about...

Use Akerlofs lemons model to explain why restaurants that cater to tourists are likely to serve low-quality meals. Tourists will not return to this area, and they have no information about the...

Many buyers value high-quality used cars at the full-information market price of p1 and lemons at p2. A limited number of potential sellers value high-quality cars at v1 p1 and lemons at v2 p2....

Aero Motorcycles is considering opening a new manufacturing facility in Fort Worth to meet the demand for a new line of solar-charged motorcycles (who wants to ride on a cloudy day anyway?) The...

Suppose that you shorted five futures contracts on the euro, receiving a price of 1 . 2 1 6 6 ( day 1 ) . Your broker requires initial margins of $ 1 5 0 0 ? contract and maintenance margins of $ 1 1...

ashley has a major medical health insurance policy with a $2 million lifetime limit. The policy has a $500 calendar year deductible and a 20 percent coinsurance clause. Ashley had outpatient surgery...