Compute {D hk f(x)} at x = 2 for the following functions. You should use stepsize h
Question:
Compute {Dhk f(x)} at x = 2 for the following functions. You should use stepsize hk = 10−k for k = 1, 2, . . . until an apparent convergence to five decimal places is observed.
a. f(x) = 0.7x
b. g(x) = ln(x)
c. k(x) = ex
d. m(x) = cos(x)
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (4 reviews)
Equation 139 is used in each case such that Dhuf x x2 f2 hkf2 hk The calculations are sho...View the full answer
Answered By
Ishrat Khan
Previously, I have worked as an accounting scholar at acemyhomework, and have been tutoring busines students in various subjects, mostly accounting. More specifically I'm very knowledgeable in accounting subjects for college and university level. I have done master in commerce specialising in accounting and finance as well as other business subjects.
5.00+
134+ Reviews
426+ Question Solved
Related Book For
Introduction To Actuarial And Financial Mathematical Methods
ISBN: 9780128001561
1st Edition
Authors: Stephen Garrett
Question Posted:
Students also viewed these Sciences questions
-
Repeat Example 13.18 using the central-difference formula of O(h 2 ). Example 13.18 Compute {D hk f(x)} at x = 2 for the following functions. You should use stepsize h k = 10 k for k = 1, 2, . . ....
-
Repeat Example 13.18 using the central-difference formula of O(h 4 ). Example 13.18 Compute {D hk f(x)} at x = 2 for the following functions. You should use step size h k = 10 k for k = 1, 2, . . ....
-
Use the zeros of 3 and transformations of the given interval to construct an interpolating polynomial of degree 2 for the following functions. a. f (x) = 1/x , [1, 3] b. f (x) = ex , [0, 2] c. f (x)...
-
With the CARES Act costing over $2 trillion and the federal government facing a significant decline in tax revenue, explain the effectiveness of fiscal policy using the three claims outlined in the...
-
In this problem you will derive Equation 35-28 for the resolving power of a diffraction grating containing N slits separated by a distance d. To do this you will calculate the angular separation...
-
Dorchester, Ltd. is an old-line confectioner specializing in high-quality chocolates. Through its facilities in the United Kingdom, Dorchester manufactures candies that it sells throughout Western...
-
If we roll a die, the obvious sample space is . If we can observe and are interested in the exact outcome, then we may consider singleton events consisting of a single outcome, The natural...
-
Garcia and Buffet, a local CPA firm, has budgeted $100,000 in fixed expenses per month for the tax department. It has also budgeted variable costs of $5 per tax return prepared for supplies, $35 per...
-
Explain the concept of directed evolution and its application in engineering proteins with enhanced properties, such as stability, specificity, and catalytic efficiency ?
-
Use Eqs. (13.8), (13.11), and (13.12) to obtain the numerical derivative of f(x) = e x2x+2 at x = 0.75 with stepsize h k = 10 k for k = 1, . . . , 10. [2] f'(x) ~ Df(x): h = f(x+h)-f(x- h) 2h (13.11)
-
Use Taylor expansions of f(x h) to show that the theoretical error in using the central-difference formula (Eq. 13.11) to approximate f(x) is O(h 2 ). f'(x) ~ Df(x) = = f(x+h)-f(xh) 2h (13.11)
-
In Problems, perform the indicated matrix operations with the following matrices. ABD 1 -2 -2 1 A = 3 B = 3 1 _4 1 1 4 -4 3 C = 2 - 1 D = 3 -1 5 41 2 3 3. 2.
-
The following table shows imports and exports of goods during the first half of 2018 for the United States: What, if anything, can you conclude about the comparative advantage that the United States...
-
What is a futures contract? What are the advantages and disadvantages of futures contracts?
-
Explain what is meant by short selling. When is short selling profitable?
-
Discuss the differences between hedging and speculation with derivatives. Many corporations risk management divisions earn significant profits each year. What does this say about derivative use in...
-
Why might we expect firms with credit ratings in the middle of the spectrum to issue debt privately rather than publicly?
-
Use your calculator or computer to find the sample variance and sample standard deviation for the followingdata. 57 63 68 37 38 60 38 43 51 60 52 37 52 57 17 93 83 28 29 67 34 92
-
What types of questions can be answered by analyzing financial statements?
-
Give an example of two systems that are in equilibrium with respect to only one of two state variables.
-
Aerobic cells metabolize glucose in the respiratory system. This reaction proceeds according to the overall reaction 6O 2 (g) + C 6 H 12 O 6 (s) 6CO 2 (g) + 6H 2 O(l) Calculate the volume of oxygen...
-
Using acetylene as your only source of carbon atoms, outline a synthesis for 3-hexyne.
-
A bicycle wheel has a diameter of 64.8 cm and a mass of 1.90 kg. Assume that the wheel is a hoop with all of the mass concentrated on the outside radius. The bicycle is placed on a stationary stand...
-
A model airplane with a mass of 0.751 kg is tethered by a wire so that it flies in a circle 29.7 m in radius. The airplane engine provides a net thrust of 0.797 N perpendicular to the tethering wire....
-
The length of a rectangle is 44 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the dimensions of the rectangle. 2h+46 h 2h+44 The width of the rectangle...
Study smarter with the SolutionInn App