Determine the area of the region bounded by the given function, the x-axis, and the given vertical lines. The region lies above the x-axis. f(x) , x = 3 and x = 4 x² + 7

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A: Given  Volume Vx=x22-2x2   .....1 and images of box are

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Q: The functionf and g are given by f (x) = 3e2x and g(x) = 2 In(5x +1)

A: f(x)=3e2x g(x)=2ln(5x+1) fog(x)=f(g(x))=f(2ln(5x+1)) =3e2.2ln(5x+1)

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Q: Find all local maxima and minimaf(x) = x^2(x−1) +3

A: Given,

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Q: (a) Graph f1x2 = - 2 x - 4 + 4 using transformations.(b) Find the area of the region that is bounded…

A: As per guidelines we are supposed to solve only first question . Please repost other questions…

Q: The area of the shaded region below is f(x) = x- x2 2x -1-

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Q: Find the area of a parallelogram bounded by the y-axis, the line  x = 2,  the line  f(x) = 8 + 2x,…

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Q: Find the open intervals on which the function is increasing or decreasing.

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Q: Estimate f(3.2)by using the following Data obtain from the f(x) = x? + 1by use Quadratic…

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A: To find the maximum value of the function.

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A: Use the property of function.

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Q: The absolute maximum of f(x) = x? -4x on [0,3] is y= .A .B -4 .C -3 .D

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Q: 4. Which of the following is NOT a polynomial function? a. f(x) = 1 b. f(x) = -x² + 1 c. f(x) = -x +…

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Q: Find and classify the local extrema of f(x) = x3 + 3x2 − 9x + 10

A: Differentiating with respect to x, we get Again differentiating with respect to x, we get

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Q: (c) Determine the values of x for which the function f(x) = { 2x² – 4 x< 2 x+ 2 2<x<5 7 x25 is…

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Q: The domain of the function 3x f (x) = V5. /5 – x is O a (5, +0)

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Q: A wire that is 16 centimeters long is shown below. The wire is cut into two pieces, and each piece…

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Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

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Q: A wire that is 32 centimeters long is shown below. The wire is cut into two pieces, and each piece…

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Q: The shaded region shown below is bounded by the functions f (x) = -2x² + 0.75x + 4 and g(x) = 1.5x +…

A: The shaded region shown below is bounded by the functions fx=-2x2+0.75x+4, and gx=1.5x+2 and the…

Q: Given h(x)=−2x2 +x+1, find the absolute maximum over the interval [−3,3].

A: We have to find absolute maximum function  of h(x). h(x)  is given below

Q: 2x² = x4+1 (a) Let f(x) = Find f'(x) and find the maximum value of f on [0, ∞) and show that it is a…

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