Find a first-order L²-approximation for the following equations f(x) = sin x f(x) = e-3x 0≤x≤1 0≤x<∞0

Q: x = -3 is a critical number of the function f(x) = (x – 3)(x + 3)². Select one: O True O False

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Q: Find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

A: To find the absolute maxima and minima of f(x) = (7cos(x))/(8+4sin(x)) in the interval 0 ≤ x ≤ 2pi.

Q: Find all critical points of the function f(x)=x√1−x2.

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Q: Find all values x= a where the function is discontinuous 1x2

A: Given Since g(x) is a branch function then the possible point where the function may be…

Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 20 over the interval [1, 3].

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Q: Find the absolute extrema for f (x) = -x² – 1 over [-2,2] .

A: Please refer the attached image for complete solution.

Q: Let f (x) be equal to -x + 1 for x < 0, equal to 1 for 0 < x < 1, equal to –x + 2 for 1 < x.…

A: To evaluate the integral

Q: Let f(x)=6√x−8x for x>0. Find the critical numbers

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Q: The range of F (x) = 3 sin 2 x is -3≤F(x)≤3 -1≤F(x)≤1 -2≤F(x)≤2

A: The given function is: F(x)=3 sin(2x)

Q: Solve 2 secx- 5 secx+ 2 = 0 on the interval x e [0, 2x] %3D

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Q: Compute f(x)dx f(x) = { 2x if x<1 4 if x 21

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Q: Let f (x)  =  { 8x x  ≤  12 −4x + 144 x  >  12 Evalute  36 ∫ 0f (x) dx.

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Q: 1. Determine the absolute extremum values of f(x) = x? / 2x + 4 on [-3, 1].

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Q: The critical number of the function f(x) = 6e-2x is x = 0 O a Ob False True

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Q: Consider the function  f(x) = (x − 4)/( x + 2) .…

A: We have to say about the critical number 2 for the function: fx=x-4x+2 We know that we do calculate…

Q: The critical points of the function f(x)= 4x³ – 48x +1 a O a. [1 -1) Ob. (2.– 2} c. 12'2 o d. 4,– 4}

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Q: f (x) = x² – 3x/3 [0,2]

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Q: 1) Find the absolute extremum values of f(x) = x² – 3x + 15 over the interval [1,3].

A: To find the extreme values of the given function f(x) = x2 - 3x + 15 over [1, 3]

Q: Find the absolute extrema of f(x) = 2x3+3x2−12x on the interval [0, 2]

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