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Problem 4: 10 pts-Find seven positive values of x such that 0.04x2 20sin(x). Explain your choice ...
Using Python please Problem 3 (15 pts): Using the Secant Method, for A>0, (10 pts) Write a program which finds A/m for any positive value m. Note, you need to choose a function f(r) for the Secant...
Using Python please
Problem 3 (15 pts): Using the Secant Method, for A>0, (10 pts) Write a program which finds A/m for any positive value m. Note, you need to choose a function f(r) for the Secant Method whose root is A1 'm. (5 pts) How does your choice of m effect how many iterations your program takes to converge for a given tolerance choice? Plots will help me to understand your thinking here In [11]: #present your program for...
4. (similar to 4.9 in book) Find the first ten positive values of x for which x = tanz. Explain a...
4. (similar to 4.9 in book) Find the first ten positive values of x for which x = tanz. Explain any methods you use (such as fixed point interation, etc.)
4. (similar to 4.9 in book) Find the first ten positive values of x for which x = tanz. Explain any methods you use (such as fixed point interation, etc.)
Please, please use MATLAB and explain everything, thank you!!! If possible please plot the values. Consider...
Please, please use MATLAB and
explain everything, thank you!!! If possible please plot the
values.
Consider the general problem of finding a root of f, that is, find a solution to the equation f(x) = 0. The secant method: y = p(x) equiv f(x_1) + (x - x_1) middot f(x_1) - f(x_0)/x_1 - x_0 Implement the secant method for solving the problem of finding a solution to the equation x = cos x. Use your computer implementation of the secant...
Calculate the Y values corresponding to the X values given below. Find the critical values for X ...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
10. Problem 10 (extra 10 pts.) Prove that functions/(x) and g(x) are positive and monotone increasing,...
10. Problem 10 (extra 10 pts.) Prove that functions/(x) and g(x) are positive and monotone increasing, and positive on (a, b), then there product (x)g(x) is also increasing,
Problem 4. (6 pts) (a) Suppose that f(x) is a continuous function on 2,7], positive on...
Problem 4. (6 pts) (a) Suppose that f(x) is a continuous function on 2,7], positive on (2,5) and negative on (5, 7). « [ r(a) dr = 11 and ſsaw) dr = 3, then ind ſis(2) dr. .10 f(x) (b) Suppose that is an even and integrable function. If "L" 3, . f(x) da = 5, then find L" (a) dr.
Calculate the Y values corresponding to the X values given below. Find the critical values for...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
Problem 3. (30 pts.) Let f(x) 32-1 (a) Calculate the derivative (the gradient) (r) and the second derivative (the Hessian) "() (4pts) (b) Using ro = 10, iterate the gradient descent method (y...
Problem 3. (30 pts.) Let f(x) 32-1 (a) Calculate the derivative (the gradient) (r) and the second derivative (the Hessian) "() (4pts) (b) Using ro = 10, iterate the gradient descent method (you choose your ok) until s(k10-6 (11 pts) (c) Using zo = 10, iterate Newton's method (you choose your 0k ) until Irk-rk-1 < 10-6. (15 pts) Problem 4. (30 pts.) Let D ), (1,2), (3,2), (4,3),(4,4)] be a collection of data points. Your task is to find...
Questions: 1. Write a MATLAB program to find all the roots of a given, twice continuously differe...
Questions: 1. Write a MATLAB program to find all the roots of a given, twice continuously differentiable, function f E C2[a, b]. Your program should first probe the function f(x) on the given interval to find out where it changes sign. (Thus, the program has, in addition to f itself, four other input arguments: a, b, the number nprobe of equidistant values between a and b at which f is probed, and a tolerance tol.) For each subinterval [ai,b] over...
question 3 please The first 5 questions refer to finding solutions to the equation exp(w) =...
question 3 please
The first 5 questions refer to finding solutions to the equation exp(w) = 3.8 ln(1+x). You will need to write it in the form f(x)-0, and use various root finding methods. 1. (10 pts) Plot the curves y- exp(Vx), and y 3.8 ln(1+x) on the same graph in the range 0 x 6. Read off intervals in which there are roots of the equation exp(k)- 3.8 In(1+x) Now find the roots to 6 decimal places using the...
Using Python please
Problem 3 (15 pts): Using the Secant Method, for A>0, (10 pts) Write a program which finds A/m for any positive value m. Note, you need to choose a function f(r) for the Secant Method whose root is A1 'm. (5 pts) How does your choice of m effect how many iterations your program takes to converge for a given tolerance choice? Plots will help me to understand your thinking here In [11]: #present your program for...
4. (similar to 4.9 in book) Find the first ten positive values of x for which x = tanz. Explain any methods you use (such as fixed point interation, etc.)
4. (similar to 4.9 in book) Find the first ten positive values of x for which x = tanz. Explain any methods you use (such as fixed point interation, etc.)
Please, please use MATLAB and
explain everything, thank you!!! If possible please plot the
values.
Consider the general problem of finding a root of f, that is, find a solution to the equation f(x) = 0. The secant method: y = p(x) equiv f(x_1) + (x - x_1) middot f(x_1) - f(x_0)/x_1 - x_0 Implement the secant method for solving the problem of finding a solution to the equation x = cos x. Use your computer implementation of the secant...
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
10. Problem 10 (extra 10 pts.) Prove that functions/(x) and g(x) are positive and monotone increasing, and positive on (a, b), then there product (x)g(x) is also increasing,
Problem 4. (6 pts) (a) Suppose that f(x) is a continuous function on 2,7], positive on (2,5) and negative on (5, 7). « [ r(a) dr = 11 and ſsaw) dr = 3, then ind ſis(2) dr. .10 f(x) (b) Suppose that is an even and integrable function. If "L" 3, . f(x) da = 5, then find L" (a) dr.
Calculate the Y values corresponding to the X values given below. Find the critical values for X for the given polynomial by finding the X values among those given where the first derivative, dv/dx- 0 and/orn X values where the second derivative, d-y/dx2-0. Be sure to find the sign (+ or-) of dv/dx and of d'y/dx2 at all X values. Using the first and second derivative tests with the information you have calculated, determine which X value(s) represent maximums (MAX),...
Problem 3. (30 pts.) Let f(x) 32-1 (a) Calculate the derivative (the gradient) (r) and the second derivative (the Hessian) "() (4pts) (b) Using ro = 10, iterate the gradient descent method (you choose your ok) until s(k10-6 (11 pts) (c) Using zo = 10, iterate Newton's method (you choose your 0k ) until Irk-rk-1 < 10-6. (15 pts) Problem 4. (30 pts.) Let D ), (1,2), (3,2), (4,3),(4,4)] be a collection of data points. Your task is to find...
Questions: 1. Write a MATLAB program to find all the roots of a given, twice continuously differentiable, function f E C2[a, b]. Your program should first probe the function f(x) on the given interval to find out where it changes sign. (Thus, the program has, in addition to f itself, four other input arguments: a, b, the number nprobe of equidistant values between a and b at which f is probed, and a tolerance tol.) For each subinterval [ai,b] over...
question 3 please
The first 5 questions refer to finding solutions to the equation exp(w) = 3.8 ln(1+x). You will need to write it in the form f(x)-0, and use various root finding methods. 1. (10 pts) Plot the curves y- exp(Vx), and y 3.8 ln(1+x) on the same graph in the range 0 x 6. Read off intervals in which there are roots of the equation exp(k)- 3.8 In(1+x) Now find the roots to 6 decimal places using the...
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