b) By using the given substitutions, show that i. Sx(x – 3)5dx =÷(x- 3)“(2x + 1) + C, z = x - 3 14 ii. S 4x+1 dx = +C, z = 2x + 1 (2x+1)3 8(2x+1)2 + C,

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A: Explanation of the answer is as follows

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A:

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A:

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A:

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A:

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A: Given,

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A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: 4' for T- T2• T, and T- T1• T2. x - 5y, 4x + 2y) y, 0)

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A: x=1-t and y=-3t+t3

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A:

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A: By using diff with respect to x

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A:

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A: Differentiation wrt x

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A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

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A: We will solve the problem

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A:

Q: dx = Select one: a. In|x-2|- Inlx +2| +c b. 글미x-21- imx + 리1 + c C. 글미-2-글 i미x+ 21 + c O d. In|x-2|-…

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A:

Q: Зх-1 4x+2' , find a) R , and b) R(x+h)-R(x) x+2, 3. Given R(x) = E) %3D

A: Given: R(x)=3x-14x+2

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A:

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A: the discriminant of the PDE is :

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Q: (b) Evaluate |(2x+3)V x² + 3x – 5 dx , by using substitution method.

A: