S Use a Taylor polynomial with 4 nonzero terms to estimate 0 Estimate = Now estimate the error of the approximation. | error | ≤ 1 sin(0.8x) X -dx.

Q: f(x)=2sinx-1/x of the function x€[pi/6,pi/4] Take the smallest positive root in the range of three…

A: Using Intermediate Value theorem f is a Continuous function whose domain contains the interval [a,…

Q: A = 2.44 2 3 B=4.33 (a) What is the distance travelled by the object over the time interval [0, 27]?…

A: In the question it is asked to calculate the total distance and total displacement of the velocity…

Q: 2 Estimate the minimum number of subintervals to approximate the value of| (4x² + 4) dx with an…

A: We will solve both these parts using basics of numerical analysis.

Q: O Find absolute extrema for f(x)= x*-6x² +9x +l in terval [0,5] Gn

A: Given that fx=x3-6x2+9x+1To find : absolute extrema on interval  0,5Solution…

Q: .Find the estimate for the root of f(x) = sin x + cos (x² + 1) – 1using Bisection methodx, = 1. 5,…

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Q: Equation:  f(x) = x3 - 3 in the interval [1,2] Approximate the root of the abive equation in the…

A: Given equation : f(x) = x3 - 3 in the interval [1 , 2]   To approximate : The root of the given…

Q: (b) Divide the interval [-1, 1] into 2n parts. Approximate the area under the curve by rectangles,…

A: Given function is f(x)=1x, for x≠01,   for x=0 Given interval [-1,1] Now we have to divide the…

Q: р 1+16x² Graph the function f(x)=- 3 " where p is a unique number assigned by the tutor. P= 1.2 р…

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Q: Use Secant method with p, =1, p =1.2 to find the root of f(x)= ln x – cos x that is accurate to…

A: Solution:Let f(x)=log(x)-cos(x)a=1, b=1.2, f(a)=-0.5403, f(b)=-0.2832Here f(a)<0 and f(b)<0.…

Q: Find the quadratic approximation about x = 1 for y = f (x) given by f(x) = x In x, where x > 0.…

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Q: Estimate f'(x) for function f defined by f (x) = 3x? – 5x + 2. Using the Central Divided Difference…

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Q: Use Taylor's theorem to obtain an upper bound for the error of the approximation. Then calculate the…

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Q: Estimate the root of f (a) =-13 20z +19x?-3x using the Bisection Method on the interval (-1,0). Do…

A: Given f(x) = -13-20x+19x2-3x3

Q: rectangle ABCD has side AB on the negative x axis, and side AD on the negative y-axis. POint C is on…

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Q: 2/3 Determine the length of x=| for 0<ys2. Assume that y is positive.

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Q: Use Newton's method to approximate the maximum of f(x) = 2 sin x- with initial guesses of x = 2.5.…

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Q: Let a) Use the fact that the Find the domain and range of b) show that tp (x) = 6² is decreasing…

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Q: Let P, (x) be the Legendre polynomial of degree n. Show that for any function, f(x), for which the…

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