Show that in(x V ) 1 %3D dx x + V x2 + 1 xp x + V x² + 2V x² + 1 1 x2 + 1 +1 x2 + 1 x²+ + 1 Vx? + 1

Q: If F(y) = y(y - 3)²; find F(x + 3). x^2 (x+2) Ox (x+3) Ox^2 (x+3) Ox(x+2)

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Q: Is it possible to get a example which shows this applied to a model

A: To determine: An example which shows the application of Taylor series in a model.

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: Determine end behavior

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Q: X-1 44

A: x-1x2-4x-5

Q: Find the areas of the shaded regions in

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Q: 2x5 + 4x + g(x) = (2x5 4 8/5 x²

A: Given: The given function is gx=2x5+4x+4x28/5. To find: We have to differentiate the given function.

Q: Use synthetic substitution to find f(2) and f(- 1) for each function. f(x) = x ^ 3 - 5x ^ 2 - x + 6

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Q: Which of the following functions is odd? y=x^3-2 y=2x-1 y=x^3-x y=x^4-x^2 y=x^4-x^3

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Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: Let f(x) = 5x^3 + x + 1. If f(2) = 43, then (x − 2) is a factor of f(x).

A: f(x) =5x3+x+1

Q: x + 3 -dx х — 1

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Q: Find the derivative of the function. Ax) = 6x (9 - 8x)* O (- 12x) (9 - 8x)' (6x- 9) O (-181 )(9- 82)…

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Q: in z 3D 2x, + 4х2 + 3x; Зх, + 2х2 + хз 0

A:

Q: How would you transform the function given by f(x) = |x| to fit the data shown? YA f(x) = |x| 4 2 -6…

A: Given:

Q: xdx z Vx – 1

A: To evaluate: I=∫210xdxx-1 Substitute x-1=u⇒x=u+1 & dx=du as x→2⇒u→1 & x→10⇒u→9 So,…

Q: S x³√x²-7dx X X 3

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Q: Find the derivative y=(x-4+x2+4) In (x4+5) y=(-4x-5-2x-3)| (+14+²53) O a. O b. 4x³ y=(-4x-5-2x-3)…

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Q: Differentiate f(x) = //2x² 4х + 2 %3D - 02() x-1 2x2-4x+2 x-2 2 2x2-4x+2 x-1 2x2-4x+2 x-1 2 2…

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Q: 2.

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Q: (x8/5y1/2)7/8/x1/80y3/32

A: Given,             (x85y12)78x180y332