Verify that the Mean Value Theorem (MVT) applies to the function f(x) = sin' 37 and find all the values satisfying the conclusion of MV 2 on the interval T,

Q: f'(c)=f(b)-f(a)/b-a .Use the Mean Value Theorem to find the number c for the function f(x)=x3-3x+2…

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Q: what is f'of x

A: Find f’(x).

Q: Prove that sin x can be approximated by x − (x^3/6) within 0.01 on the interval [-1,1].

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Q: Assume that f is a polynomial and x = 10 is a critical number for f If f''(10) = -sqrt2 what do we…

A: A function y = f(x) has a critical point at (x, y) if f'(x) = 0 or f"(x) is not defined. But as we…

Q: Compute for the possible root of the function f(x) = x4 - x³ - x? - 4 in the interval [-2, -1]. Use…

A: The equation in the form f(x)=0 is called a transcendental equation. If the function is continuous…

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for f(x)= x^3-x-1 on [-1,2]. Sketxh the…

A: From the mean value theorem, if the function y=f(x) is continuous in the interval [a,b] and…

Q: a. A(x) = 2tdt b. A(x) = f*₂2tdt

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Q: Determine the interpolating polynomial for f(x)=x^(2)+sin\pi x through (0,0);(1,1) (2,4). What is…

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Q: Differentiate, hcx) = In (x-Vr

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Q: find the absolute extrema for f(x) = x^2/3 (2-x) on [-1,2]    please show all work

A: To calculate the critical  extreme values for the given function over the given interval

Q: Find all the values of x in the interval [0,2pi] that satisfy the equation 24 cot^2(x)=8

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Q: C. A(x) = sintdt d. A(x) = ₁ It-2 |dt

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