Find the indefinite integral. (Use C for the constant of integration.) 1 dx xV 16x2 – 1

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A: Separate the limit.

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A: I am attaching image so that you understand each and every step.

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Q: 2х — 5 lim 4x

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Q: 1. Find (sin?) A 2 sin z cos a x* B 2 sin r" coS T* 1²-1 1. C 2 sin r? cos T² r² Inr D 2 sin r*…

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Q: a*Find the volume: Region: y=x2, y=1, x32 About y= -3

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Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

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A: Here,  A(t)=0.03t3(t-7)4+60.2, 0≤t≤7

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Q: (7) If 4.5* = 97, an approximate value of x is (A)x = log(97) × 1.987 (C) x = In(97) z 4.575 (B)x =…

A: 7.    4.5x=97 Note:      Multiple questions are given, we are answer with only one question. if you…

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A: Consider a function f that is differentiable at a pointx=a.Recall that the tangent line to the graph…

Q: 14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

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Q: 2. Jx2Vx3 – 27 dx -

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Q: 8) Confirm that the stated formula is the linear approximation at x =0 %3D (1+x) =1+15x

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A: Given integral is ∫x2-x2-1 dx.

Q: Use the Laplace transform to solve the initial value problem. y''+6y'+34y=136, y(0)=3, y'(0)=0…

A: Solution is given below:

Q: cot ve csc² Ve do 3 Vo (4 + cot? Ve)

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Q: x +5 Given the function g (x) find g' (x) x² +6x O 8' (x) = x* +6x³ +5x² +30x x² (x+6)? O 8' (x) 2x3…

A: Given, gx=x2+5x2+6xDifferentiate…

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Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) 1…

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Q: 2016 N Q3 -= V3-3. V3 - 1 a Without using a calculator, find the integers a and b such thất V3 +1

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Q: Compute the derivative of each function. f (x) = e³x* += (cscx + sec x)² %3D %3D

A: Follow the procedure given below.

Q: Complete the table shown to the right for the​ half-life of a certain radioactive substance. ​…

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A: Volume of the region R is given by volume=∫13∫24∫35dzdydx

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Q: Evaluate | 4x2 + 4x + 5 dx

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Q: 4. If f(t) = 3 sin(4t + 0.12) – 2 cos(3t – 0.72) determine f'(t) when t 1 5. Evaluate when x 1,…

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Q: Which formula is not equivalent to the other two? 10 (-1)*-7 -5 (- 1)* 3 (e) k-7 | 3 (2) k = -7 k+1…

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Q: 2) Find the cartesian eauation for the olar curve r=tan e sece ×ニy )yニxと 2.

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Q: dh _10. A cylindrical piston with fixed radius r = 3 cm is being compressed so that How h =- dt fast…

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Q: Find or evaluate the integral by completing the square. (Remember to use absolute values where…

A: ∫ (6x-8)dx/(x2 +2x+2) ∫ (6x-8)dx/(x2 +2x+ 1 +1) ∫ (6x-8)dx/((x+1)2 +1) ∫ (3(2x+2) - 14)dx/((x+1)2…

Q: Find the derivative of the function. 5 + 6x - 4/x y% =

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