Use the bisection method to approximate the root of f(x)=2x²-1 in the interval [0, 1]. Let E= 0.1 be the margin of error approximation.

Q: Find an equation of the straight line having slope 1/6 that is tangent to the curve y=√x+5.

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Q: Use both the bisection and false-position method to find the root of f(x)=x²-2=0 in the interval [0,…

A: Given:f(x)=x4-2,         x∈[0,2]To find: the root of above function/equation using(a). Bisection…

Q: Find the linear approximation of the function f(x) = VI - x at a = 0 and use it to approximate the…

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Q: Estimate √3.9 using a linear approximation at a=4.

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Q: Let f(x) = 8 + 2x2. (a) Estimate the area under the graph of f, the x-axis, and the lines x = −1 and…

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Q: The graph of the velocity (in km/h) of a car that is accelerating is shown in the figure, where t is…

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Q: Use Linear Approximation to estimate Af f (2.05)-f(2) for f(x) = %3D x+I (Use decimal notation. Give…

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Q: Let f(x) = x². There are two lines with positive slope that are tangent to the parabola and that…

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Q: Find the inflection point(s) of the function f(x) 16x + 36x + 17x + 5. Show = 2r1 the work.

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Use linear approximation to estimate √(4.01) + (4.01)2 correct to four decimal places.

A: Linear approximation of fx about x=a is given by L(x)=f(a)+(x-a)f'(a).

Q: Use a local linear approximation to estimate the following y-values 1. f(3.1) 2. f(-0.1) 3. f(1.2)

A: The linear approximation formula is: L(x)=f(a)+f'(a)(x-a)   For f(3.1), x=3.1 and a=3 So the linear…