Homework Answers
3. For f(x) = e-x and h = 0.6
3. For f(x) = e-x and h = 0.6 a) Use forward and backward difference approximations to estimate the second derivatives of f(x) at x = 2. Use the least accurate formulas available.b) Using the most accurate centered difference formula, estimate the second derivative of f(x) at x=2.
Use centered,backward and forward difference approximations to estimate the first derivatives of ...
use centered,backward and forward difference approximations to
estimate the first derivatives of y=e^(3x) at x=1 for h=0.1 with
accuracy of second order. Compare results with the analytical
computations.
3. Use Centered, Backward and Forward Difference approximations to estimate the first derivatives ofy e3xatx 1 for h 0.1 with accuracy ofsecond order. Compare results with the analytical computations
3. Use Centered, Backward and Forward Difference approximations to estimate the first derivatives ofy e3xatx 1 for h 0.1 with accuracy ofsecond order....
Approximating derivatives f(z +h) - f(z) f(x)-f( -h) f(x + h) - f(x - h) Forward difference Backw...
Added the formulas, thank you!
Approximating derivatives f(z +h) - f(z) f(x)-f( -h) f(x + h) - f(x - h) Forward difference Backward difference Centered difference for 1st derivative s(a) (3) 2h t)-2e-bCentered diference for 2nd derivative (4) 2 2. Write a short program that uses formulas (1), (3) and (4) to approximate f(1) and f"(1) for f(x)e with h 1, 2-1, 2-2,.., 2-60. Format your output in columns as follows: h (6+f)() error (öf(1 error f error Indicate the...
Use forward and backward difference approximations of O(h)
Use forward and backward difference approximations of O(h) and a centered difference approximation of O(h2) to estimate the first derivative of the following function:f(x)=25x³-6x²+7x-88Evaluate the derivative at x=2 using a step size of h=0.25. Compare your results with the true value of the derivative. Interpret your results on the basis of the remainder term of the Taylor series expansion.
Please help me answer this question using matlab Consider the function f(x) x3 2x4 on the...
Please help me answer this question using matlab
Consider the function f(x) x3 2x4 on the interval [-2, 2] with h 0.25. Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all three first-derivative finite difference approximations along with the theoretical, and do the same for the second derivative as well
(a) Use the following data to find the velocity and acceleration at t = 10 seconds:
Numerical methods(a) Use the following data to find the velocity and acceleration at t = 10 seconds:Time (s):0246810121416Position (m):00.71.83.45.16.37.38.08.4Use second-order correct (i) centered finite-difference, and (ii) backward finite-difference methods. (b) Use the Taylor expansions for f(x +h), f(x+2h), f(x +3h) and derive the following forward finite-difference formulas for the second derivative. Write down the error term$$ f^{\prime \prime}(x) \approx \frac{-f(x+3 h)+4 f(x+2 h)-5 f(x+h)+2 f(x)}{h^{2}} $$
7. Given the following: X 1.0 1.2 1.4 1.6 1.8 f(x) 1.1 0.9283 0.8972 0.9015 0.9422...
7. Given the following: x1.01.21.41.61.82.0f(x)1.10.92830.89720.90150.94221.1(a) Compute first derivative using forward, backward and two-step finite difference approximations at x=1.4, and (b) calculate the second derivative at x = 1.6 using finite differences.
3. Find the first derivative of a functionf(x)-ex (a) Use calculus to determine the correct value...
3. Find the first derivative of a functionf(x)-ex (a) Use calculus to determine the correct value of the derivative at x = 2. If h = 0.25, (b) Evaluate the second-order centered finite-difference approximation (e) Evaluate the second-order forward difference approximation. (d) Evaluate the second-order backward difference approximation. (e) Create a MATLAB function program, which gives output up to second order centered finite difference approximation of second derivative "(xo). The input arguments aref n (order of approximation, 1 or 2),...
Example 1 Find the first derivative of the function below analytically and with forward, backward and...
Example 1 Find the first derivative of the function below analytically and with forward, backward and centered difference formulas at x = 0.5 and Ax=0.1. Find the true errors. f(x) = cos(3x)
numerical analysis 1 f (x + 2h) f"(x) = 2f (x + h) + f (x)...
numerical analysis
1 f (x + 2h) f"(x) = 2f (x + h) + f (x) 12 Forward difference II f(x - 2h) f"() = 25(x - hr) 12 method Backward method difference f'(x) = -f(+ 2) + 4(x +h)- 36) 2h Forward difference method Which ones are correct? a) I, II b) Only 11 a d) Only 1 e> I, II, III
3. For f(x) = e-x and h = 0.6 a) Use forward and backward difference approximations to estimate the second derivatives of f(x) at x = 2. Use the least accurate formulas available.b) Using the most accurate centered difference formula, estimate the second derivative of f(x) at x=2.
use centered,backward and forward difference approximations to
estimate the first derivatives of y=e^(3x) at x=1 for h=0.1 with
accuracy of second order. Compare results with the analytical
computations.
3. Use Centered, Backward and Forward Difference approximations to estimate the first derivatives ofy e3xatx 1 for h 0.1 with accuracy ofsecond order. Compare results with the analytical computations
3. Use Centered, Backward and Forward Difference approximations to estimate the first derivatives ofy e3xatx 1 for h 0.1 with accuracy ofsecond order....
Added the formulas, thank you!
Approximating derivatives f(z +h) - f(z) f(x)-f( -h) f(x + h) - f(x - h) Forward difference Backward difference Centered difference for 1st derivative s(a) (3) 2h t)-2e-bCentered diference for 2nd derivative (4) 2 2. Write a short program that uses formulas (1), (3) and (4) to approximate f(1) and f"(1) for f(x)e with h 1, 2-1, 2-2,.., 2-60. Format your output in columns as follows: h (6+f)() error (öf(1 error f error Indicate the...
Please help me answer this question using matlab
Consider the function f(x) x3 2x4 on the interval [-2, 2] with h 0.25. Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all three first-derivative finite difference approximations along with the theoretical, and do the same for the second derivative as well
3. Find the first derivative of a functionf(x)-ex (a) Use calculus to determine the correct value of the derivative at x = 2. If h = 0.25, (b) Evaluate the second-order centered finite-difference approximation (e) Evaluate the second-order forward difference approximation. (d) Evaluate the second-order backward difference approximation. (e) Create a MATLAB function program, which gives output up to second order centered finite difference approximation of second derivative "(xo). The input arguments aref n (order of approximation, 1 or 2),...
Example 1 Find the first derivative of the function below analytically and with forward, backward and centered difference formulas at x = 0.5 and Ax=0.1. Find the true errors. f(x) = cos(3x)
numerical analysis
1 f (x + 2h) f"(x) = 2f (x + h) + f (x) 12 Forward difference II f(x - 2h) f"() = 25(x - hr) 12 method Backward method difference f'(x) = -f(+ 2) + 4(x +h)- 36) 2h Forward difference method Which ones are correct? a) I, II b) Only 11 a d) Only 1 e> I, II, III
Most questions answered within 3 hours.
-
Potassium phosphate and calcium chloride react in a double
replacement reaction. To produce 1.0 moles of...
asked 1 minute ago -
Two identical flutes can play middle C (262 Hz) at 20◦C. How
many beats per second...
asked 6 minutes ago -
Sparky, Co. purchased land as a factory site for $600,000.
Sparky paid $42,000 to tear down...
asked 16 minutes ago -
A Chi-square distribution with 14 degrees of freedom is a
correct model for
Question 8 options:...
asked 45 minutes ago -
In a group of 45 mice, there are 10 that have a certain genetic
character. suppose...
asked 27 minutes ago -
Topic: Hydrogenic Atoms
The wavefunction of one of the d orbitals is proportional to sin
θ...
asked 27 minutes ago -
6. Suppose that the Bank of Canada conducts an open market
purchase of $2000 from a...
asked 42 minutes ago -
A) Suppose U=X∙Y3. Find X* and Y*.
B) Suppose U=X3∙Y. Find X* and Y*.
C) Suppose...
asked 50 minutes ago -
The only quantities of good 1 that Barbara can buy are 1 unit or
zero units....
asked 40 minutes ago -
c. Node Admittance matrix and its use in different calculations
of power transmission system. Display the...
asked 48 minutes ago -
Try to get the code down to less than 40 lines. (PYTHON)
import random
fave_number =...
asked 48 minutes ago -
2.
Regression analysis was applied between sales (in $1,000) and
advertising (in $100), and the following...
asked 56 minutes ago