L[u(t- 4) (r3' - 16 3')] = O e t (-3) (e-3)? O In 3e ( +) 2. (r-In 4) 64e-3 6. (r-In 4)2 (-In 4) 6. (r-In 4 8le 4 (a-In 3) tr-In 3 (0-4) (-4) 81e ( (-In 35 2. 16 (4-In 3) In 4 e (를 +)

Q: 4w dw = w2 –4 -3^(5/3) О з(3/5) 3^(3/5) 3 O O O

A: We have to evaluate the integral ∫124ww2-43dw.

Q: 8 S ( ² − 5 + £ ) da 6 dx X x² x³

A: I=∫(8x−5x2+6x3)dx

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A:

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A: We will solve the problem.

Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: ャX+4..dx x* + x²_ 2x の (2

A:

Q: fe7x-3 dx

A:

Q: If x = (1/2)a + (2/3)b + (3/4)c c=(12x-6a-

A: The detailed solution is given below Thank you

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A:

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A: Here we have to solve the given expression.

Q: -1²+2x dx

A: Solution: ∫0∞e-x2+2x dx Compute the square write -x2+2x in the form : x2+2ax+a2 factor out -1…

Q: Solve for X. X = 5 -9] 5 +4X = -5 5 -9 2

A:

Q: Even,odd,or both x)=-L6+8x² 3 flx

A: Given:   f(x) = - x5 + 8x3

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A: Definition used -            Solution of an equation -                  First, we put all terms…

Q: Evaluate: /1-x*dx 3 A +C (B x4) 2 +C 3 3 D--(1-x*) 2 +C E None

A:

Q: b. 14-x²|dx

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

Q: (-8,-2) n(-4, 8) = (-8,-2) U (-4, 8) =

A:

Q: Examine the graph below. What is the y-intercept of the line?

A:

Q: 12. (2 + 5z)e/3 dr

A:

Q: |(p) inches (p + 3) inches (p + 1) inches Which expression describes the volume, in cubic inches, of…

A:

Q: Fuid x;on [o,360) 2"(-2)

A:

Q: E sin i sin 98 cos 50 de

A:

Q: (-, 4/30] (5) [-4, c )

A:

Q: Simplify the following problems.

A:

Q: 7) (3x* – 5)° . 36.x dx

A: 7) the given integral is (3x4-5)536x3 3) the given integral is (x3-2)-43x2.

Q: X+x 2. S x3-x²+x-1 -dx 4+5x2 3. S 4x+5x3 -dx

A: Given: ∫x2+xx3-x2+x-1dx

Q: aluate dx (2x+3)5 (2x+3)-4 + C -8 (2x+3)-4 + C 8 (2x+3)-5 + C -8 None

A:

Q: d²y if 2x²-3y²=7 dx2

A: Differentiating both sides of the equation. 23x2-32ydydx=06x2-6ydydx=06ydydx=6x2dydx=x2y . . . . . .…

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A: In this question we are given variable separable first order differential equation with initial…

Q: Q6 Frud +++

A: We have to find derivative

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A:

Q: 3. fx³ (a²+x²)¹/² dx

A:

Q: 유(In (e2x)) d dx 1 .a e2x 2х .b 1 .C 2 .d e2x O O

A: The solution is given below in the next step:

Q: x- dx = %3D

A: Given:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.