Prove that f (x) = -16+x 4 and g(x) = = 4x + 16 are inverses. ||

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A: First we put x6=t and differentiate both sides with respect to t and find the integral.

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A: solve the equations

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Q: 3. Given the following piecewise function (x² – 4x – 5, x # -3 13 – x, x = -3 f(x) = Determine the v...

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost ...

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A: Value of the surface integral is

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A: as per guidelines I can only do first 3 subparts

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Q: (b) Suppose $2,100 is borrowed and the interest is compounded continuously. If A(E) is the amount du...

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Q: 1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diame...

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

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A: According to question,Given function,fx = 2 cotx - π2+1

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A: Function y=32sin2x+π6 is given.We have to determine amplitude, period and displacement for the given...

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Q: evaluate the differential equation: -5y +4y =z-2+

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Q: Σ n K. n=1 e

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A: Since, you have posted multiple questions, as per guidelines we will solve only first question. If y...

Q: А. Σ 5n –1 n=1

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Q: (x – y)² = 2ax, find the y'if a is a constant x+y a. a-x-y a-x-y b. x+y x+y+a C. x-y x-y-a d. x-y

A: Differentiating the expression with respect to x

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A: In this question, we need to find which of the given functions have a 4th derivative different from ...

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Q: 5. lim e(ochr)

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Q: 6. Determine the x-value(s) of the point(s) on the graph of f (x) = 3x³ – 11x – 2 where the tangent ...

A:  The function f(x)=3x3-11x-2 where the tangent line is parallel to the line 10x-2y-18=0

Q: Match the sequence with the given nth term with its graph. 10n an n + 1 an an 10 10 8. 8. 4. 2 4 6 8...

A: here given  an = 10n/(n+1) for plotting put point 1,2,3,4...... first wwe put 1 a1= 10(1)/(1+1) = 5 ...

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: Consider the following. f(x) = 12x - x2 from x = 0 to x = 6; 2 subintervals (a) Approximate the area...

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Q: Question 1 xcos (2r²+7 )dx A -sin (2x²+ 7) + C B 4sin (2x²+ 7) + C B - 4sin (2x²+7) +C D - sin (2x²+...

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Q: Write an equation for the function graphed below. The y intercept is at (0,0.2) 5- 4 3 2 -1 -1 12 4 ...

A: From the given graph we can observe that it is rational function.The zero of the function is at x=1A...

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Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

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Q: Express lim E=1 Ax ||PI0 as a definite integral where P is a partition of [0,2]. k%3D1

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Q: differential equation. dy dt = y cos(3t + 2) y =   B)  Find the general solution to the differential...

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A: Topic:- application of derivatives

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

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Q: Find the derivative of the vector function below r(x ) = sin (secx 2)i +csc°(Vx² +1)j +8tan(x")k 1 A...

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Q: For the graph, calculate the following quantities.  1) y'(5) if y(x)=f(x)g(x) 2) y'(2) if y(x)=((f...

A: Given the graph