Refer to f(x)=1/x^2 1)Give an upper bound for the error you get when using the fourth...

Refer to f(x)=1/x^2

1)Give an upper bound for the error you get when using the fourth degree Taylor polynomial centered at c = 2 to approximate f(2.1)

2)What is the actual error of your approximation? (Use a calculator.)

Expert Solution

milcah answered 2 years ago

Write matlab program to compute ∫f(x)dx lower bound a upper bound b using simpson method and...

Write matlab program to compute ∫f(x)dx lower bound a upper bound b using simpson method and n points. Then, by recomputing with n/2 points and using richardson method, display the exact error and approximate error. (Test with a=0 b=pi f(x)=sin(x))

Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to...

Given the integral 1/x dx upper bound 2 lower bound 1 (a) use simpson's rule to approximate the answer with n=4 Formula:f(x)=1/3[f(x0)+4f(x1)+2f(x2)+...+f(xn)]Δx(keep answer to 6 decimals) b)how large is n in order for the error of Simpsons rule for the given integral is no more than 0.000001 Formula: |Es|=(k)(b-a)^5/(180 n^4), where |f^4(x)≤k| please show all work and steps

Computing3√25 using MATLAB. (a) Beginning with the interval [2,3], and f(x) =x^3−25, use the error bound...

Computing3√25 using MATLAB. (a) Beginning with the interval [2,3], and f(x) =x^3−25, use the error bound for bisection to predict how many iterates bisection would need to get error within 10^−20. (b) Run bisection on this problem. How many iterations did it need? For some of the iterates compute the absolute error. What is happening approximately to the number of significant digits of accuracy with each iteration? (c) Write a program to perform Newton’s method on f(x) =x^3−25 with p0=...

Given that f "= - 12 (x-2) ^ 2 + 4, estimate the error obtained by...

Given that f "= - 12 (x-2) ^ 2 + 4, estimate the error obtained by approximating the integral of f (x) on the interval [1.5,2.5] with n = 4, using trapezoids. Find the domain of the vector function r(t)= <sent,lnt,1/(x-2). find the equation of the plane that passes through the point (-1,3, -8) and is parallel to the plane 3x-4y-6y = 9 find the equation of the line parallel to the plane 2x + y + z = 8...

Consider the function f(x) = x^3 / x − 2 1. Give the intervals of increase...

Consider the function f(x) = x^3 / x − 2 1. Give the intervals of increase and the intervals of decrease for f(x). 2. Give the location of any local maximums and local minimums on the graph of y = f(x). Give your answer(s) as a point, listing both the x-coordinates and y-coordinates. 3. List the intervals of concavity for f(x). 4. Identify any inflection points on the graph of y = f(x). Give your answer(s) as a point, listing...

f(x) = sec x - 1 / x^2 to find the limit using rationilization

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2...

Given f(x) = 1 x 2 − 1 , f 0 (x) = −2x (x 2 − 1)2 and f 00(x) = 2(3x 2 + 1) (x 2 − 1)3 . (a) [2 marks] Find the x-intercept and the y-intercept of f, if any. (b) [3 marks] Find the horizontal and vertical asymptotes for the graph of y = f(x). (c) [4 marks] Determine the intervals where f is increasing, decreasing, and find the point(s) of relative extrema, if any....

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) -...

6) Given: (a) f (x) = (2x^2)/(x^2 −1) - Calculate f ′(x) and f ″(x) - Determine any symmetry - Find the x- and y-intercepts - Use lim f (x) x→−∞ and lim f (x) x→+∞ to determine the end behavior - Locate any vertical asymptotes - Locate any horizontal asymptotes - Find all intervals where f (x) is increasing and decreasing - Find the open intervals where f (x) is concave up or concave down

f(x)= x^3+9x^2-6x+1997 a)find the taylor series for f(x) centered at x=1 b) using desmos, graph you...

f(x)= x^3+9x^2-6x+1997 a)find the taylor series for f(x) centered at x=1 b) using desmos, graph you taylor series for f(x) centered at x=1

Given: f (x) = (x − 2)/(x^2 − x +1)^2 a) Find the intervals where f(x)...

Given: f (x) = (x − 2)/(x^2 − x +1)^2 a) Find the intervals where f(x) is increasing, and decreasing b) Find the intervals where f(x) is concave up, and concave down c) Find the x-coordinate of all inflection points.

Question