Consider approximating the function f(x) = e¯1.9€ on the interval (0,0.46] by linear interpolation through the points (0, 1) and (0.46,0.417). Use the polynomial interpolation error theorem to determine to two decimal places the smallest value of a for which \f(x) – P1 (æ)| < a.

Q: Consider the function f(x)=3x+8 on the interval [2,10]. Find the average or mean slope of the…

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A: The value of the table for x and y: x 8.3 8.1 8.6 y 17.56 16.94 18.51 We will approximate…

Q: 6- Do a complete analysis to sketch the following function. F(x)=2x-x²/x²-2x+1

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A: A detailed solution is given below.

Q: The absolute Extrema of the function f(T) = -x-* -21/3 +r on the interval [ 8, 1] are Select one: a.…

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A: We find f"(x)

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A: Solution

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Q: 1 Compute and simplify the difference quotient for f(x) = V1- x

A: The given function is fx=11-x. Replace x by x+h and obtain that, fx+h=11-x+h. Obtain the difference…

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Q: Consider the following function. f(x) = 5x/7^√2x+5 (a) State the domain of the given function using…

A: The given function is: fx=5x72x+5. To Do: (a) State the domain of f(x) using interval notation. (b)…

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A: Given function is: fx=3x3,x≤1ax+5,x&gt;1 We know that a function is continuous at any point x=c if,…