Vx? +64dx sec ede tan e

Q: J (x? — 4х + 4)10 dx

A: SOLUTION-

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A: To find  The derivative of h(x)

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A: We have to check the end behavior

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A:

Q: 12) [f x e dxdy

A: See the details solution in below

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A: We have to find the integration of given function

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A: These questions are from differential equations.

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A: Solution:

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A: We know that ddx(tan x) = sec2x Thus  ∫0π4 sec2x = tan x0π4

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A:

Q: 16. (D' + D² + D+ 1)y = e* +e* + sinx %3D

A: We have to find the general solution of the differential equation D3+D2+D+1y=ex+e-x+sinx .

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A: We have to find the solution of the given equation : 1.) y2 + 3x2 - tan-1 (3x - 12y) = 7pi . We will…

Q: F(X) = e? Find F(0). O 1.36 O1 XIN

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Q: b) S2 sec (nx) dx

A:

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A:

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A:

Q: Ins lay cos dydx 4) f e** dxdy

A:

Q: T/4 35 (tan20tan + 1) sec20 d0 0

A: The integral is given by,

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A:

Q: cle" cos V3r -r'e"} 21

A: For functions ft, gt and constants a, b, c:L{a·f(t)+b·g(t)}=a·L{f(t)}+b·L{g(t)} L{tneat} =…

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A:

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A:

Q: d (sin²(x)e³*+") dx xp

A: Hello! Thank you for the question but as per our honor code, we'll able to solve only the first…

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A: Integration and trigonometric identity.

Q: D. Eliminate the arbitrary constant C. 5. y'sinx-2x'y'= Cy?

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A:

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A: We have to find

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Q: L {t³ – tet + e4t cos t}

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Q: Can you please help me out

A: To find second derivative of sec(x).

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A:

Q: y = -4 Sin ( 2x ) + 4 b. 3m d. 10

A: Solution and graph is shown in step2 and step3 respectively.

Q: sec?(sec x) dx Q1. Evaluate J2/N3 xVx2 -1

A: Integration of the function helps to find the required value of the given expression. Integration…

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A:

Q: Jo dx 0 1-x² 2 e) fx√x² + 1dx (Hint: use a substitution)

A: Use substitution to solve

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Q: ーx? |xe ' dy

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Q: 882 [ f(xy + e³)dydx

A:

Q: Solve the following DE: (x2+ 1) dx + x2у2 dy -D0 о ху - 2(3 + Сх+x?) о ху? 3 2(1 + Сх - х?) о хуз -…

A: