Show that In (x+ Vx? + 1) x2 x + Vx2 + 1 dx x + / 2v x² + 1 X + V x2 + v2 +1 + 1 Vx+ 1 x2 + 1

Q: CHECK Your Una 1. Simplify. b) a) (3x² - 7x + 5) + (x²-x + 3) (x² - 6x + 1)-(-x² - 6x + 5) c) (2x² -…

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Q: Find y'. y = (x2 - 2x + 2)(2x3 - x2 + 4) 10x4 - 20x3 + 18x2 + 4x - 8 O 2x4 - 16x3 + 18x2 + 4x - 8…

A: This question is based on Derivative of function.

Q: Salve Ux+Uys2(x+4)

A: Given partial differential equation is of first order and quasi-linear of the form…

Q: Lim (x-2x) X>-1

A: Limit of a function at a point is the value the function tends to as we approach that point. Limit…

Q: (x + 5)/(x – 3) is NOT defined for x =   a. 3   b. 0   c. -3   d. -5

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Q: 2+3jy X-j

A: (2 + 3jy)/(x - j) = 2j            (2 + 3jy) = 2j (x - j)              2 + 3jy = 2xj - 2j2 We know…

Q: Differentiate and simplify

A: The derivative of ln x is 1x.

Q: (a) Find the critical values and the corresponding function values. (b) State the intervals on which…

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Q: Let f(x) = 3x4 – 8x3 + 6x?.

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Q: x + 3 -dx х — 1

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Q: 2 v2x-x2 XY xydydx 0 0

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Q: Compute and simplify the difference quotient: f(x +h)-f(x) h 15x 7h + 14 - h = 0. 10x² + 5h+ 7x 10x…

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Q: End bahavior of y=(x²-5)(x-1)²(x+2)³

A: Given function is y=x2−5x−12x+23. We have to find the end behavior  limx→∞y and limx→−∞y. Use…

Q: Evaluate -12-31 (x + 4)(x - 5) -dz +C

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Q: Find f(5x5 + 6x²) dx

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Q: Evaluate xe dp- X6 (x +1)*

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Q: d da Compute (10-3x)*.

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Q: Show that x + 5[x²] is 0(x²).

A: This is a problem of complexity.

Q: Let F(a) be Z2. Show that a2 and a2+a are zeros of x3+x+1.

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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: If f(x) = 3x + 2, and * g(x)=x +x - 2 , find gof.

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Q: (Vx +10xdx

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Q: S x³√x²-7dx X X 3

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Q: Express as a polynomial.

A: The given expression is as below:       (3x3-4x2+x-7)+(x4-2x3+3x2+5)

Q: Add. x+1 X + 2 +52 x²+4x-5 x²-1 x(x-1) 2x+1 x(x-1) 2x²-1 x(x-1) x²+3x+1 x(x-1)

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Q: Evaluate INIM -6 x³ dx √x²-9

A: To find out the definite integral.

Q: Evaluate f 8tVt² – 1 dt

A: We have to find

Q: xy 2y + +1

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Q: la Graph the function f)= 2xcX -4) (xt 3] 2x(x-4)(xt3)

A: Given

Q: Let a be a real valued constant. Let f (x) = 3axt. Let h (x) = /2ax + 5 . Determine (f (x) h (x)) .…

A: Here we will use chain rule of differentiation to find the solution

Q: %3D differences of f (x) = x3 +x + 2 for the argument 1,3, 6, 11

A: We have to solve given problem: