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Q: Q3:- find the erea of the shap by the order 1- SS dydx 10

A: Please refer the attached image for complete solution.

Q: OLet @ = (0,1)n Q = {x€ @104 x<1}. Prove that %3D 2) 2000m

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Q: By compating deriratives, Lind the Taylor senies for Fixl = 3M X at x=0.

A: The given function is f(x)=sinx    ….(1) Differentiating (1) with respect to 'x' successively we get…

Q: Find a root of an equation Bellow by using Bisection method Where, & < 0.003, on the interval [3, 4]

A: Given function is f(x)=e-x3.2sin(x)-0.5cos(x) and interval is [3,4] Iteration 1: f(3)=0.0471&gt;0…

Q: HiW:By. ther Same. Way.find the ponel.seNies.ef..Cosix.

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Q: Suppose that the Bisection Method is used to find a zero (root) of f(x) in the interval [0,1]. How…

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Q: Use the Taylor polynomial T4(x) to estimate the following expression correct to five decimal places.…

A: Here, we will be using Taylor polynomial T4(x) to estimate the following expression correct to five…

Q: What are the taylor polynomials p4 and p5 centered at pi/6 for f(x)=cos(x)?

A: What are the Taylor polynomials p4 and p5 centered at pi/6 for f(x) = cos (x)?

Q: To approximate the root of f(x) = x³ – 70, the interval [4,5] works as a starting interval for both…

A: Clearly the function is continuous on [4,5]. We can use bisection if the function has both positive…

Q: Write Taylor Polynonial at, x = &f degree 4 estinating 6)= ex and ex %D or 1o,2]- Graph Py (x) @…

A: The Taylor polynomial of a function f(x) at a point a is given by .

Q: Show that the length of the nth interval in the bisection method satisfies b-a bn-an 2"-1*

A: Suppose we have an interval a,b in which a given function f has root(s). According bisection method…

Q: Use the bisection method to approximate v33 in four steps on the interval (5, 6]. [Use 3-digit…

A: Thanks for the question :)And your upvote will be really appreciable ;) correct answer :- 5.6875…

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Q: Use the method of bisection to approximate √6 to within 0.01. Begin by noticing that x2 - 6 has a…

A: Given: f(x)=x2-6 To approximate 6 then we have to find a root of the equation f(x)=x2-6  between 2…

Q: Determine the degree of the Taylor polynomial P,(x) expanded about a = 1 that should be used to…

A: it is known that taylor series about a point c is given by…

Q: In order to apply Bisection method We must have zo and 21 satisfying f(ro) - f(x1)> 0 Select one:…

A: GIVEN a statement

Q: use a degree 3 Taylor Polynomial to approximate sqrt(16.2)

A: We have to use Taylor polynomial of degree 3 to approximate 16.2 Let f(x)=x Expand this polynomial…

Q: Q1/is the funection fex)- dferentimble at X=-\

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Q: Use the Taylor's theorem to show that a) fxsh) - fex)+hflx)+ Kf"cc) , Ic-xlcb b) The estimate x) -…

A: By using Taylor's theorem to show (i) f(x+h)=f(x)+hf'(x)+h22f''(c)with |c-x|&lt;hand to show…

Q: Q3: Use Bisection method with initial guesses x = 1.2 and x, = 1.5 to find the root of the %3D…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: For mighe. any integer exyelicsubysoup of osder Show tht /2 has

A: Since, you have posted multiple questions but according to guidelines we will solve first question…

Q: Find the third Taylor polynomial for f(x) = sin(2x), expanded about c = n/6. %3D

A: Given: fx=sin2x and c=π6 To find the third Taylor polynomial of the given function. The formula for…

Q: Prove that in the pairs of positive numbers ¤, y for æ² + y° = r the sum a+y is greatest when z = y.…

A: Here we solve the given problem of calculus.

Q: where V, h and R are volume of water, depth of water and radius of tank, respectively. What is the…

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Q: Н.W:- А. By using the Bisection Method find the first 5 approximate of root of f(x) = x2 - 3 The…

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Q: Find dy ax 9=бл+бай

A: Given :y=x+1+xformula : ddxx=12x

Q: Find the length of Kl. K %3 %3D

A: Given,

Q: Q6. Use Taylor's Theorem to prove that if x > 0 then, 5 1+

A: Given,x&gt;0 To prove: 1+x12-1+x3+x29≤58!x3

Q: ex For the given findion fcx) =x{ux310 methed for interal Q,2] ond find the function after applyng…

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Q: 3) State the exact error associatd with Taylor polynomiad of degre frx)=X+9 estimating fa)-1 우or…

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Q: Do three iterations by hand of the bisection method to find the root of f(x) = In x + x from a = 0.1…

A: We know that  Bisection Method Algorithm as follows :  Find two points, say a and b such that a…

Q: 2. Determine one real root of h (x) = In() -3 between -0.9 and -0.2 using the Bisection Method.…

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Q: Use taylor's formula to find the 3rd order taylor polynomial for f(x)= sqt of x centered at 16. Then…

A: Consider the function    Use Taylor's formula to find the 3rd order Taylor polynomial for f(x)…

Q: 1 Considered the area of a trapezoid is 50 sqm and the height is described by a number. Bases are…

A: Use the following formulae, to obtain the solution. Area of a trapezoid is calculated by the…

Q: To approximate the root of f(x) = x³ – 70, the interval [5,10] works as a starting interval for both…

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Q: Find te Turer saies onsion of the periodie fun cdon when definition of on eried are -2<tく - 5) 6くt…

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Q: find the root/s using Bisection Method x-e^-x=0   Ans. x=0.567

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Q: Find x 16 in. Show your work here. 12 in.

A: Given height is 16 in. and base is 12 in. To find x, Pythagoras theorem is used: Pythagoras theorem…

Q: Use Taylor expansion with the Lagrange Remainder, prove the following inequalities 1. x – 0. | 6

A: The Taylor series of a function is extremely useful in all sorts of applications and, at the same…

Q: Use the second order Taylor polynominal P3(x) fot f(x)= ³√x centered about 44 to approxiamed the…

A: Given fx=x3

Q: use the defenition of notahon e to prove the following'. the asymptotic Show that for any leal…

A: Here we use the limit theorem.

Q: 2. Find the exact length of the fllowing curvis 1&s4 () x= Imfi-) <と

A: a) y=13xx-3 ; 1≤x≤4 Note:      Multiple questions are given, we are answer with only one question.…

Q: How many iterations is done in order to find the root of the following using bisection method? f(x)…

A: We have given function f(x)=x4-2x3+x2-3x+3 for[0,5]. We need to find number of iteration is done in…

Q: Find the chara derieti'k palynow ral of f the aatrcx 2. 1)

A: Answer is mentioned below

Q: To approximate the root of f(x) = x³ – 70, the interval [-4,4] works as a starting interval for both…

A: Here we see the assumptions of the both method agrees here or not.

Q: Show that the length of the nth interval in the bisection method satisfies bn-an=b-a/2^(n-1)

A: Consider the interval [a,b]. Assume that the given function has roots in the given interval. We need…

Q: Find the third Taylor polynomial for f(x)= cubed root of x centered at 8

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Q: Show that the length of the nth interval in the bisection method satisfies b-a bn-an 2"-1

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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.