The integral sin(x - 2) dx is transformed into fg(t)dt by applying an appropriate change of variable, then g(t) is: O None of the choices Og(t)=sin(t-1) Og(t)=0.5 sin(t-1) Og(t)=sin(t+1)

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Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

A: ∫t-2t+6t2dtExpand:=∫4t-12t2+1dt=4∫1tdt-12∫1t2dt+∫1dtWe know that ∫tndt=tn+1n+1

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

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A: y2 = x +4  x- 2y +1 = 0 for find the area bound by this curve  we have to find common point of curve…

Q: If f(x) = 6 + 5x > Next Question 5x², find f'(-1).

A: We have to find the value of f'(-1).

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A: NOTE: Refresh your page if you can't see any equations. . here we have the given values of x are…

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A: Please refer to the image below

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Q: Use the definition Prove that: d dz sin z = cos z The low f(z) = lim Δz→0 f(z+Az)-f(z) Az

A: Topic = Derivative

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A: To find the inverse relation of the given function.

Q: Transformation by trigonometric formulas.

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Q: 1. f(x)=(2x-5) ¹ (4x+3)²

A: We need to find derivative.

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A: Topic = Function

Q: 5. The general solution of (D² A. y = (C₁+C₂x)e+C3 C. y = (C₁+C₂x)ex+C3e-2x +2D+1)(D²+4)y=0 A) A cos…

A: To find out the general solution of the differential equation.

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Q: Let f(x) Calculate lim z→-5- lim 2-5+ (−4 − x)² +3 if x = -5 4x + 23 if x = -5 the following limits.…

A: Given  f(x) = (-4-x)2 +3 if x≠-5  4x+23       if x= -5

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Q: 4. S (x-1)(2x³+2x²+3x+2) dx x³ (x+1)

A: The objective of the question is evaluate the indefinite integral.

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A: NOTE: Refresh your page if you can't see any equations. . the given function is  to find the rate…

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A: The given equation is;  e2x-2yy'=0, y(0)=4.

Q: Find the indefinite integral. [Hint: Use some algebra first.] (Use C for the constant of…

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