4. If f f(x)dx= 14 and f (x)dx = 10, find ſ, f(x)dx. Draw a sketch to justify your answer.

Q: The following problem is for extra practice and does not have to be submitted. 2 1 -dx using the…

A: According to question ∫0211+x3dx,       n=4

Q: 5 If [ f(x) dx = 18, then 5 (f(x) + 4) dx is equal to:

A: Using the properties of Integrals

Q: Find S(2r)dx if f(x)dx = 3. Enter the exact answer. f(2r)dx =

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Q: what is the general equation to the equation dy dx² dx

A: Here we have to find the general solution of the given differential equation,…

Q: If x^3+y^3=2, find the value of d^2y/dx^2 at the point (1,1). the value of d^2y/dx^2 at the point…

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Q: if y = 3x2-2x+5 , determine dy/dx using the definition.

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Q: 2. Given that y = (a + bx)e-* where a and b are constants, show that +2 +y = 0 dx2 dx

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Q: If x = t - t3 and y = t2 – t4, the value of at t = 2 is dy dx

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Q: Solve the following problem Pu + dx2 = 0, 0 < x < L, 0 < y < H ду? ди ди (0, y) = 0, (L, y) = 0, dx…

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Q: Find dy/dx by differentiating implicitly. When applicable, express the result in terms of x and y.…

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Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: 36. dy dx y=x2/3

A: The given integral is ∫01∫x231xey4dy dx. From the above integral, the region is given by…

Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

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Q: If 3x2 +2xy +y² = 2, then the value of dy at x=1 is dx

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Q: Give a geometrical explanation of why

A: Consider the given integration as ∫aafxdx=0

Q: dy is equal to- dx If y = !, then the value of +3 V1 +y* V1+x

A: Introduction :

Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

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Q: Suppose that (x) dx=3 and g(x) dx=7, then what is 1 8. 8 the value of (х) dx ? 1

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Q: For which value of a the equation dz dy dx =1 -1

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Q: 2. Given that x2 + x-5 and y = when x = 2, find the value of y when x = %3D dx

A: Given: dydx=x2+x-5 and y=53 when x=2. Now, given equation dydx=x2+x-5 can be written as:…

Q: |(2 f(x)+3) dx=19 f(x)dx then equals?

A: ∫afx+bdx = a∫fxdx+∫bdx

Q: If f(x) dx = 3 and f(x) dx = 4 what is the value of %3D 5f(x) dx?

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Q: Let y=e" +b(x+1)'. When x = 0, suppose that dx - 0 and -0. dx Find the possible values of a and b.

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Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

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Q: For y = 5x2 + 10x – 3, find dy at x = 2 if dx 0.1. -

A: The given function is  y=5x2+10x-3

Q: x^3+y^3=7​, find the value of d^2y/dx^2 at the point (−1,-2)

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Q: 1 Given y = 3x5 + -, dy is equal to 2x3 dx

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Q: If f(x)dx=10 and | (x)dx=3, then | f(4 – x)dx=? %3D

A: Given that: ∫-26f(x)dx=10 and ∫26f(x)dx=3

Q: If it is known that ºf(x) dx = 17 and f f(x) dx = 12, find ſº f(x) dx.

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Q: If 3x² + 2xy + y² = 2, then the value of dy/dx at x = 1 is

A: Given that        3x2+2xy+y2= 2 We have to find the value of dy/dx at x=1.

Q: Find 3 for 2 = In (xº dx Provide your answer below: +y¹).

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Q: 20. If y' = 2-2, finddy dx? in terms of y and x.

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Q: If y = = e2a + e3x, then d y at x = 0 equals dx3 %3D

A: Given: y=e2x+e3x

Q: 8. If f(x) dx = 10 and f(x) dx = 3.7, find %3D f(x) dx. Answer:

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Q: For which value of a the equation dz dy dx =2 -1 does hold?

A: The constant rule of integration and the power rule of integration are given by and, respectively,…

Q: Match the options below: (2ху-Зу) dx+(x^2-х)dy-0

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Q: .5 If f(x) dx 10 and f(x) dx = 3.1, find f(x) dx. Answer:

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Q: If Xy+yd, find the value of dy 5- dx 2 at the point Coy-1)

A: Given problem is :

Q: Suppose f(x)dx = 2 and f(x)dx = 1, and ſ, 3f (x)dx = -6 ,what is f(x)dx

A: The property of definite integration to be used for solving is: ∫abf(x)dx=∫acf(x)dx+∫cbf(x)dx where…

Q: For which value of a the equation dz dy dx =2 does hold?

A: as per guidelines we only solve one question at a time if you want to know the answer of all please…

Q: f(x)dx=10 and | f(x)dx=3, then f(4 – x)dx=?

A: topic - properties of integration

Q: Why is e^x selected as u and not e^2x (to get du /2 = e^x dx in the problem attached?

A: Consider the integral  ∫e2xe2x+3ex+2dx

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

A:

Q: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?

A: If dy/dx = 3x^2 - 3 and y(0) = 8, then y(1) = ?