12 Find p, q if f" f(x) dx – f' f(x) dx = S, f(x) dx. %3D (Give your answers as whole or exact numbers.)

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

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Q: We are given the function f(x,y)=sin(3x+2πy)+exy-π, and points A(π, 1), B(π + 1, 0). Find the rate…

A: Given function is, fx,y=sin3x+2πy+exy-π. To find the rate of change of f at A(π,1) along the…

Q: 1. Find the rate of y with respect to x at the point (1, 7) if 7y – ry = 4. dy da

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Q: 14. Determine dy/dx if y is a function of x defined implicitly by sin(x? + 2y)

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Q: 7) Find the instantaneous rate of change of f(x) = ecos(z") + sin(In(8²)) at x = 1.

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Q: cos s x dx 2. S: Vsin x

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Q: Particular integral of dy +3 dx dy + 2y = e-2a + sin is dx?

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Q: What does f(z) dz mean?

A: Given that: ∫f(x)dx

Q: ) L -dx (x² + 1)²(x² + 2x + 2)` sen? t dt, for 0 <b< a. a+b cost

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Q: A particle moving along the x-axis has velocity function v(t) = t sin t. How far does the particle…

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Q: If the PSD of X(t) is S„(@). Find the PSD of dX(t) dt

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Q: dy Evaluate dx at point (4,2) given 3(x² + y²)² = 100(x² – y²).

A: Answer and explanation is given below

Q: COS f(2, Y) af af dy f(x, y) = log, (3x) af %3D fe dy

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Q: fro(x- dt show that = f(x). dx y 3

A: y=12∫0xft x-t2 dt

Q: 14) find the respect of y with respect to x Y=(6x+5)^x dy/dx=?

A: Given function: y=6x+5x Taking log to the both sides logy=log6x+5x We know that logxa=a log(x) So,…

Q: 1. If F(x)= = cos a sin r (√t-1)' dt, find F'(x).

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Q: Figure out these antiderivatives. S dx /1-х2 arctan(x) dx 1+x? ( In(x))* dx 2x

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Q: 35. Does the graph of Sx*sin(1/x), x + 0 f(x) (o. x = 0 have a tangent line at the origin? Give…

A: Given: fx=x2sin1x,x≠00,x=0

Q: A point is moving along the graph of the given function at the rate dx/dt. Find  dy/dt for the given…

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Q: (b) Evaluate f 3æ“ In6x dx using integration by parts.

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Q: 10. f (x, y) = 1 sec(xy) in(rv)

A: Solution:-

Q: a) In(x+1)³ dx x+1

A: Given, ∫23ln(x+1)3x+1 dx

Q: (b) YOUR TURN 4 Find dx. Vx f(x) deriv for in

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Q: A point is moving along the graph of a given function such that dx/dt is 6 centimeters per second.…

A: Given Take derivative with respect to t, derivative of y is dy/dt  and derivative of x is dx/dt

Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is…

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3…

Q: (j) S 3r2+5 dr (k) S(x+ 3)(x +1)*dx (1) S x In(x)dx

A: Note the results : Power rule :                  ∫xn dx=xn+1n+1+C ; n≠-1 Integration by parts…

Q: 2. f" S"(sinx + cosy) dx dy

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Integrate f dx using integration by parts. x+1

A: Please refer the attached image for complete solution.

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In ( 1 + (Inx)2 + (In vx) 3 3x 2) y = tan-1…

A: Use formula of derivative  to solve

Q: The average rate of change of f(x) = cos(x) with respect to x as a changes from 0 to π is 2 OOO 2 -2…

A: We have to find the average rate of change.

Q: g. cOS x Vsin x dx

A: Let sinx = t

Q: (f) y = e* In(tanh(x))

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Q: Q /Choose the appropriate derivative for this function y = (x+ 1)2* dy = 2* (x + 1)2" - In(x + 1) dx…

A: Explanation of the answer is as follows

Q: 1)Find dy/dx for following functions. 1) y = (In 4)* + In A + (In V) (Inx)2 2) y = tan (x*)

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Q: 1. Sx arctan x? dx =x² arctan(x²) – In(1 + x*) + C

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Q: 16 Evaluate ſ," x²In 3x dx correct to three decimal places.

A: Given- ∫12x2ln3x To find- The value of the above integral. Concept Used- The above integral can be…

Q: Differentiate the following function. y=3ex−3x dy/dx= ?

A: Solution of the problem as follows

Q: approximation of I = [" f(x)dx using composite Simpson's rule with n=4 is:

A: In this question, we evaluate the definite integral by using the composite Simpson's rule for n=4.

Q: Зх-1 dx; J x²+10x+28 Зх— 1 Sa :dx (x + 5)² + 25' Зх — 1 -dx Ja+ 1)² + 1 Option 3 Option 1 Зх - 1 dx…

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Q: dy = 3; find dt dx when x = 2. dt Related Rates: Given y = x³ – 2x and

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Q: S() dt, where f is a continuous function, find f(4). (c) A 10 ft ladder rests against a vertical…

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Q: Approximate S“ In x dx using three rectangles of equal length and left end points. Is your estimate…

A: The given integral ∫1e2ln x dx, three rectangles and left end points.

Q: dy dx Suppose x and y are functions of a third variable t. If 2sin(x) + 4cos(y) =3 and dt -3, what…

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Q: Q1/ Evaluate 1 dx Jo 1+x² using Simpson's 1/3 rule Simpson's 3/8 rule i- ii-

A: Simpson's rules are techniques of numerical integration. Both 1/3 and 3/8 rules are explained in the…

Q: 1. S dx let x = 4 sin 0 V16-x2 1 1 dx let x =tan 0 1+4x2 2

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Q: 37. Use Fubini's Theorem to evaluate dx dy. 1 + xy

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Q: In x Find y' if y = e3 1 – 4 In x Based on your work from (a), evaluate - dx. -5

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Q: Find the relative extrema of f(x) = (x − 1) cosh x − sinh x.

A: Maxima and minima: f(x)=(x-1)coshx-sinhx f'(x)=(x-1)sinhx+coshx-coshx f'(x)=(x-1)sinhx…