(b) Given the second order boundary value problem y" +4y=sin x, (1) € y(1) = 0. By taking h=0.25, approximate y(0.25), y(0.5) and y(0.75) by finite difference method. Please give your answer in three decimal places y(0)=0, If the exact solution of the problem is y(x) = - the absolute errors of your calculations. sin (1) sin 3sin (2) sin 2x + sin find

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A:

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A: We are to sketch the graph of the parametric equationsx = sint, y = 2 cos(3t), π < t < 2π.…

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A: Given differential equation 12y' = 1 - x + y - xy Given that y( 0 ) = -3

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A: We are given that f'(x)=5ex+8x and f(0)=2. So,

Q: If a(x) = 2 – 8x, what is an equation for a (x)? O A. a-1(x) 2. 8. O B. a '(x) = ?= 2 8 al(z) = ", 으…

A: The given equation for a(x) is: a(x)=2-8x

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Q: Q2:- Find the domain and the range of the following equations: - (2)W = sin xy (1)W = (3)W = xy

A: as per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: 3) Estimate Y(2) using Euler's method with 0.5 long dY intervals. Y - 2X and Y(1) = 0. dx

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Q: Find the equation of the line that is tangent to y = 8– x* at x = 1. Use vour answer from the…

A: Given:       y = 8 - x4    At x = 1

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Q: Q.2 Find the derivative at each critical point and determine the local extreme value. (a) y=x√√4x² 1…

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Q: 5.) You can use technology for this problem, keep calculations accurate to at least 10 decimal…

A: Given differential equation is y' = x2y,   y0=1,  h=0.1 Take   fx, y= x2y  then y' =f x, y initial…

Q: 57) Given: f(x) = ax³ + bx² + cx+d, f(2)=5, ƒ"(1)=-4, ƒ"(4)=12 When x = 1 the tangent line to f(x)…

A:

Q: 15) Match the graph with the correction function. (a) (x) = 4' - 5 (b) S(x) = 4' + 5 (c) (1) = 4-X +…

A: (a).    The given function is: f(x)=4x-5

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Q: 58) Given: f(x) = ax³ + bx² + cx+d, f(1) = 5, ƒ"(-1)=-2, f"(x)=12 When x=0 the slope of the tangent…

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Q: Find the value of y’(2) and y”(2) from the following table : x 1.5 1.6 1.7…

A: We have to find the first and second derivative values from the given data.

Q: 2. The height of a golf ball after t seconds is given by s(t) = 24t - 4.9t² meters. (a) Find the…

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Q: Let f (x) = (x³ –- 2x + 2)° Lans(1) = (x' – 2x + 2)' ma g(x) = 5" (x) and 8 (x) = f¯l (x). What is…

A: The slope of the curve g(x) at a point will be the derivative of the function, g'(x) at that point.

Q: 2x-3 3x (x-3)2 find the x-value(s) where k'(x) is (are) undefined. If k' (x) : for all x in the…

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Q: _y=3+x-5x² + x40 x = 0

A: Let suppose the slope of the tangent line is m and this line is passes through then equation of…

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A: The equation of the line given is in the form x-2y-1=0, which can be rewritten in the…