Consider the function f(x) = x e x , tabulated below: (a) Find, exactly, f(1) and f(1).
Question:
Consider the function f(x) = x ex, tabulated below:
(a) Find, exactly, f´(1) and f"(1).
(b) Use the tabulated values and the formula
to estimate f´(1), for various h. Compute the errors involved and comment on the results.
(c) Repeat (b) for f´´(1) using
Transcribed Image Text:
X 0.96 0.97 0.98 0.99 1.00 f(x) 2.5072 2.5588 2.6112 2.6643 2.7183 x 1.01 1.02 1.03 f(x) 2.7731 2.8287 2.8851 1.04 2.9424
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (2 reviews)
Taking h 004 fxxe fxe xe e1 x fx e1x e e 2 x so f1 2e f1 f104 096 008 ...View the full answer
Answered By
Branice Buyengo Ajevi
I have been teaching for the last 5 years which has strengthened my interaction with students of different level.
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Sciences questions
-
a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...
-
Consider the function f (x) = 3(x + 1)2 - 4. a. Find f (5). b. Find f (n). c. Find f (x + 2). d. Use your calculator to graph y = f (x) and y = f (x + 2) on the same axes. How do the graphs compare?
-
Consider the function f (x) = sin4 x + cos4 x (a) Use the power-reducing formulas to write the function in terms of cosine to the first power. (b) Determine another way of rewriting the original...
-
In Problems, assume that the populations are normally distributed and that independent sampling occurred. (a) Test the hypothesis that 1 2 at the a = 0.1 level of significance for the given sample...
-
Crew members attempt to escape from a damaged submarine 100 m below the surface. What force must be applied to a pop-out hatch, which is 1.2m by 0.60 m, to push it out at that depth? Assume that the...
-
Another issue in this trial is the possible dependence between ears for the bilateral cases. Comment on this issue based on the data collected? Table 3.12 Format for EAR.DAT Variable Format or code...
-
When you consider that companies are generally in business to earn a profit, why might it be acceptable to select a capital project that promises a return that is just equal to the weighted average...
-
The Starr Theater, owned by Meg Vargo, will begin operations in March. The Starr will be unique in that it will show only triple features of sequential theme movies. As of March 1, the ledger of...
-
SwiftyCorporation entered into an operating lease to lease equipment from Highlander, Inc. on January 1, 2020. The lease calls for annual lease payments of $13,000, beginning on December 31, for each...
-
Use the following table of f(x) = (ex e x )/2 to estimate f'(1.0) by means of an extrapolation method. Compare your answer with (e + e 1 )/2 = 1.5431 correct to 4dp. 0.2 f(x) 0.2013 0.6 0.8 0.6367...
-
Use your calculator (in radian mode) to calculate the quotient {f(x + h) f(x h)}/(2h) for f(x) = sin x, where x = 0(0.1)1.0 and h = 0.001. Compare your answers with cos x.
-
Tran Corporation is authorized to issue both preferred and common stock. The par value of the preferred is $50. During the first year of operations, the company had the following events and...
-
Use Amazon.coms balance sheet and the Note 1 data on Allowance for doubtful accounts. Requirements 1. Do accounts receivable appear to be an important asset for Amazon.com? What about Amazons...
-
Which of the following clauses from the U.S. Constitution are used to challenge state laws? A. Equal Protection Clause B. Privileges and Immunities Clause C. Due Process Clause D. Commerce Clause E....
-
What are the typical criteria for nexus for income/franchise tax purposes?
-
Suppose Big Trucks Dealership is opening a regional office in St. Louis. Lesa Carter, the office manager, is designing the internal control system. Carter proposes the following procedures for credit...
-
How do we usually distinguish between business and nonbusiness income? How are the two treated?
-
What are the advantages of a DBMS?
-
Ex. (17): the vector field F = x i-zj + yz k is defined over the volume of the cuboid given by 0x a,0 y b, 0zc, enclosing the surface S. Evaluate the surface integral ff, F. ds?
-
The reaction of atomic chlorine with ozone is the first step in the catalytic decomposition of stratospheric ozone by Cl . Cl (g) + O 3 (g) ClO (g) + O 2 (g) At 298 K the rate constant for this...
-
In addition to Cl , other halogens can potentially contribute to stratospheric ozone loss. For example, consider the reaction of Br with ozone: Br (g) + O 3 (g) BrO (g) + O 2 (g) At 298 K the rate...
-
A standard rule of thumb for thermally activated reactions is that the reaction rate doubles for every 10 K increase in temperature. Is this statement true independent of the activation energy...
-
An example of a supply chain disruption could be which of thefollowing? O Manufacturing firms closing due to COVID-19 OManufacturing firms outsourcing to save money O IBM usingblockchain O Employee 2...
-
Java Need help with: Flowchart Pseudo-code Program Coded Program Output A golf club has a small tournament consisting of five golfers every weekend. The club president has asked you to design...
-
A comparative balance sheet and income statement is shown for Cruz, Incorporated. CRUZ, INCORPORATED Comparative Balance Sheets At December 31 2021 2020 Assets Cash Accounts receivable, net Prepaid...
Study smarter with the SolutionInn App