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Q: Verify that the third Maclaurin polynomial for f (x) = ex sin x is equal to the product of the third…
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Q: 1. Find the fourth Maclaurin polynomial for f (x)= sin 2x.
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Q: Show that the Maclaurin polynomials for f (x) = ln(1 + x) are
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A: The first order Lagrange polynomial is given as, fx=x-x1xo-x1fxo+x-xox1-xofx1
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- If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.tanh (1.3288x )using bisection Determine the real root of f(x)=L.1288 method to locate the root. Employ initial guesses of x = 1.000 and x = 2.000 and iterate until the root is obtained to two decimal places. Express f(x,)J; f(x,) or f[(x, ),]· f(x,)to five decimal places, and the rest to three decimal places in every iteration.
- For the following function, you are given one period of the function. = sin tx on the interval - 2for the function. interval f(x) = e with th -3Symmetrya. Use infinite series to show that cos x is an even function. Thatis, show cos (-x) = cos x.b. Use infinite series to show that sin x is an odd function. That is,show sin (-x) = -sin x.1/ 1 100% (i.) Each of the smaller triangle is to be painted with one of the th colours: White, black or blue. (ii.) No two adjacent regions have the same colour. If "C,, = "C,, then n is equal to 4. If "P, = 840, "C, = 35, then r = %3D 1C, + "C, - l°C,- "C, = 6. Activate Go to Setti DOLLI send the question a second time and pay for each question. Can I explain to you how to write the answer correctly? How can I explain that you write by hand, it is very bad and unreadable? Please give the final answer and you already answered it wrong.Find the general expression for coefficient 'an'Question 1. Consider the function f(x) = ³x − 6 – ½ sin(2x). (a) Show that f(x) has a unique real root. (b) Find an interval on which the root is guaranteed to exist. (c) Using the interval you found in (b) and the Bisection Method, approximate the root to within an absolute error of 10-5.Differentiate the Maclaurin polynomial of degree 4 for f(x) = ex . Describe the relationship between the two series.Question 31 and 35 Find the intervals on which f is increasing and the intervals on which is decreasing.SEE MORE QUESTIONSRecommended textbooks for youAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
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