Estimate the error if P3(x) =x- is used to estimate the value of sin x at x= 0.4.

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Q: 3.Using simple fixed-point iteration, determine the root of the equation f(x)= sin (Vx)–. X, = 0.5…

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Q: Estimate the root of 2 cosh x sin x 1, using the secant method, with an accuracy of 4dp. Take 0.4…

A: Image is attached with detailed solution.

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A: First, we simplify the given function using the multiplication and power rule of logarithm.

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A: Given:               y=x sin-1x+1-x2 Differentiate with respect to x           ddxy=ddxx sin-1x+1-x2…

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A: The slope of the tangent line to the curve  y = f(x) at the point x= k is f '(k)

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A: Solution

Q: Consider the function y = sinh 2x + 1. Which ?one is a critical number of this function

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Q: Find a root of the equation 3x + sin(x) - e* = 0 using Newton Raphson Method. Consider initial guess…

A: Let fx=3x+sinx-ex Then f'x= 3+cosx-ex Given that x0=2·500

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

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Q: Sin x3D%=

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Q: aluate 9/ sin(x) cos(x) dx by four methods.

A: Here we want to perform the given integral according to each of the methods mentioned.

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Q: Using secant method, detemine a root of sin Vx - x with initial guesses xo = 0.5 and x, = 1…

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Q: The height of an arch above the ground is given by y = 10 sin sin x , for 0 < x < T. What is the…

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Q: Find a root of an equation f(x) = cos(x) - − using Newton Raphson method

A: Let us start solving the problem step by step  Given  Cos(x)-(x/6)=0 Let f(x)= cos(x)-(x/6) We will…

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A: Given function f(x)= sin(2x)            0≤x≤2π

Q: Estimate the error if P3(x) = x - (x3&gt;6) is used to estimate the value of sin x at x = 0.1.

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Q: FInd the length of the curve y= 2ln ( sin(x/2)) from x = π/5 to x = π

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A: values=?

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Q: Q3: Find value of x if 3 cosh x- sinh x= 4

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Q: Use sin 0 = 0, sin = 1, and sin t = 0 to estimate sinl E) (Round your answer to three decimal…

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Q: Consider f(x) = sin(2x) + cos(4x), 0 ≤ x ≤ 1 Differentiate f at x = 0.5 using 5 point formula. Also…

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Q: Explain graphically why there is no solution to cosh x = sinh x

A: cosh x = sinh x. We need to explain graphically why there is no solution to the given equation.

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Q: find the extreme values (absolute and local) of thefunction over its natural domain, and where they…

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A: h(θ) = sin2(θ)  [ -π/2, π ]

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Q: Q2): If sinh(x) =find tanh(4x). %3D

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Q: Find the deriva tive Of 6- sin (xy)+ e'

A: Note:- It is not mentioned in question for derivative find with respectvto what variable(x or y) so…

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A: Given f(x)= sin(x), a=0 we know linear approximation, L(x)= f(a)+f'(a)(x-a)

Q: alue of A can be calculated based on f(x)dx = 1.

A: The given probability distribution function is,

Q: Consider 3x+ sin x − ex= 0, using Secant Method with initial points X0 = 0 and X1 = 1, calculate the…

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.