setup the calculation for the arclength of f(x)=exp(x) for x €[0,1]

Expert Solution

milcah answered 2 years ago

a) For the function f (x) = x – exp(−x2), do a calculation by hand using...

a) For the function f (x) = x – exp(−x2), do a calculation by hand using a calculator to find the root to an accuracy of 0.1. At most, five iterations (or fewer) are needed to obtain the desired accuracy. b) For f (x) = x2 – sin x, x0 = 1⁄2, do three iterations of Newton’s method (by hand); tabulate the result.

let f be the function on [0,1] given by f(x) = 1 if x is different...

let f be the function on [0,1] given by f(x) = 1 if x is different of 1/2 and 2 if x is equal to 1/2 Prove that f is Riemann integrable and compute integral of f(x) dx from 0 to 1 Hint for each epsilon >0 find a partition P so that Up (f) - Lp (f) <= epsilon

Use matlab to plot Taylor approximation for f(x) for x near 0 Given f(x) = exp(x)...

Use matlab to plot Taylor approximation for f(x) for x near 0 Given f(x) = exp(x) Use subpots to plot and its absolute and realative erros for N= 1,2,3 PLease give matlab code for Taylor and explain in detail, Thank you

1.)is the function f (x) = x exp^ (-x ^ 2/2) a proper function of the...

1.)is the function f (x) = x exp^ (-x ^ 2/2) a proper function of the operator O= d2 / dx2-x2? if so, what is the intrinsic value? 2.)is the function f (x) = exp^ (4ix) -exp ^(-4ix) its own function of the operator d2 / dx2? if so, what is the intrinsic value? 3.)is the function f (x) = exp^ (2ix) -exp ^(-2ix) a proper function of the operator d^2 / dx^2? if so, what is the intrinsic value?...

Let ∬[a,b]×[c,d]f(x,y)dA denote the integral of f(x,y)over the region with a≤x≤b and c≤y≤d. Find ∬[0,1]×[0,1]f(x,y)dA given...

Let ∬[a,b]×[c,d]f(x,y)dA denote the integral of f(x,y)over the region with a≤x≤b and c≤y≤d. Find ∬[0,1]×[0,1]f(x,y)dA given the following: ∬[0,1]×[1,5]f(x,y)dA=2, ∬[1,2]×[0,1]f(x,y)dA=−1, ∬[1,2]×[1,5]f(x,y)dA=4, and ∬[0,2]×[0,5]f(x,y)dA=3. Group of answer choices 2 -2 8 0 None of the above.

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot...

Consider f(x)=2x−(1+a)f(x)=2x−(1+a), x∈(0,1+a)x∈(0,1+a) where a=9−a=9− the last digit of your student ID (i)(i) Draw a plot of the periodic Fourier Series expansion of f(x)f(x). What is its value at x=0x=0 and why? Is it odd or even? (ii)(ii) Expand the given function in a Fourier Series.

Given f(x) = exp x sinx. Find exact ﬁrst derivative at x = 1.0. In addition,...

Given f(x) = exp x sinx. Find exact ﬁrst derivative at x = 1.0. In addition, ﬁnd approximate ﬁrst derivative using forward, backward, central and higher order scheme for first derivative. Set h = 0.1 for approximation. Given f(x) = xlnx. Find exact and approximate second derivatives at x = 1.0. Set h = 0.1 for approximation. Develop a 4th order accurate symmetric scheme to approximate the second derivative of f(x) at x.

The random variable X~uniform(0,1) and Y~Exp(1), and they are independent, find the distibution of Z=2X+Y. Step...

The random variable X~uniform(0,1) and Y~Exp(1), and they are independent, find the distibution of Z=2X+Y. Step by Step please better to have a graph and be organized before you answer

A particular wave pulse is described by the function f(x,t) = (2/??) exp[-(x + ct)²]. Explain...

A particular wave pulse is described by the function f(x,t) = (2/??) exp[-(x + ct)²]. Explain how to determine the velocity of the pulse and why that works. In particular, explain why the sign of c determines the direction of propagation. (In case you aren’t familiar, “expo” means “exponential” and exp(x) is often used instead of e? when the argument gets too big to fit comfortably as an exponent. Not that this question requires knowing any of this.)

A mathematician requires the calculation of the integral y[n] = \int_0^1 x^n exp(-x) dx where \int_0^1...

A mathematician requires the calculation of the integral y[n] = \int_0^1 x^n exp(-x) dx where \int_0^1 means the integral with limits 0 and 1. A) Using integration by parts, show that y[n] satisfies the recursion y[n+1] = -1/e + (n+1) y[n] B) Write a function that uses this recursion to calculate y[1:n] using R @param n A postive integer @return A vector of values y = c(y[1], ... , y[n]) Use this function to produce a vector y = c(y[1], ......

Question