The function f(x) changes value when x changes from xo to xo + dx. Find the change Af=f(xo + dx) = f(xo), the value of the estimate df = f'(x) dx, and the approximation error Af - dfſ. f(x) = 9x2 + 7%, * = 1, dx = 0.1 y = 0 T (T Af + d) - Mr) de ful Tangent 0 lue of Δf = (Type an integer or a decimal. Do not round.) df = 0 (Type...
Assigned Each function f(x) changes value when x changes from Xo to xo + dx. Find the change Af = f(xo + dx) – f(xo), the value of the estimate df = f'(xo) dx, and the approximate error Af-df| f(x) = 4x2 - 5x, Xo = 2, dx = 0.1 The change Af=0. (Simplify your answer. Type an integer or a y=f Af = f + de) - doda of)) de Tangent о + de
Find the average value fave of the function f on the given interval. f(x) = x2/(x3 + 6)2, [-1, 1] fave =
(1 point) Find the function f(x) described by the given initial value problem. f"(x) = 6 sin r, f'(T) = -3, f(T) = 3 f(2)=
Question 1 4.5 pts Given are five observations for two variables, x and y. 3 2 7 h. Compute the mean square error (MSE) O 3.875 4.133 4.421 4.312 i. Compute the standard error of the estimate 2.326 1.895 2.033 2.213 j. Compute the estimated standard deviation (standard error) of bu 0.643 0.697 0.568 O 0.713 k. Test for a significant relationship using the t test. Compute the value of the test statistic and the p-value. At a = 0.05,...
The Fourier Transform of a certain time function, x(t), is shown below F{x(t) x(f) 2.5 7 1.5 1 0.5 -30 -20 -10 10 20 30 f(Hz) equation for X(f A. Write an B. Write an equation for x(t). C. Write and equation for the Fourier Transform of x(2t) and draw a sketch D. Write and equation for the Fourier Transform of x(t) and draw a sketch equation for the Fourier Transform of x()cos(2 E. Write an 15 t and draw...
Consider the initial value problem given below dx -2 +t sin (x), dt x(0) 0 Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t 1. For a tolerance of e-0.01, use a based on absolute error stopping procedure Consider the initial value problem given below dx -2 +t sin (x), dt x(0) 0 Use the improved Euler's method with tolerance to approximate the solution to this initial value problem at t...
Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = x2 − 9; a = 1 Compute f '(a) algebraically for the given value of a. HINT [See Example 1.] f(x) = x3 + 9x; a = 5 Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = x2 − 8 Compute the derivative function f '(x) algebraically. HINT [See Examples 2 and 3.] f(x) = 2x − 1 Find the equation...
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
4. Given a function f(x), use Taylor approximations to derive a second order one-sided ap- proximation to f'(ro) is given by f(zo + h) + cf (zo + 21) + 0(h2). f' (zo) = af(xo) + What is the precise form of the error term? Using the formula approximate f' (1) where r) = e* for h 1/(2p) for p = 1 : 15, Form a table with columns giving h, the approximation, absolute error and absolute error divided by...