If y= (4x+ 1)(1 –x)°, then y' = ? A (1- x)²(1+8x) B B (1- x)²(1- 16x) -12(1– x)2 C D None of the given choices E 3(1- x)?(4x + 1)

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A: SOLUTION-

Q: dx J (x² + 2x – 10)²

A:

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A: This is a question of counting. One needs to find the coefficient in this fi ite expansion.

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A:

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Q: For

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A:

Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

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A: We will solve the problem

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A: Given: A=1-123 We are required to find: 3A3-2A2+5A-I2

Q: 6. Determine the domain of the following: a. y = -3/14 + 3x b. y = V4 + 3x –- x² x+1 С. у %3 х(х-2)…

A: Domain of given function at which y(x) is defined.

Q: x-1) 1/6(x+2) 16/3- (x+1) 1/2 x-1) 1/6(x+2) 16/3 (x+1) 1/2 x-1) 1/6(x+2) 16/3 + +

A:

Q: If x? – 2x – 3 = (x+ A)² – B² , then the value of Bis %3|

A: Given that   x2-2x-3=(x+A)2-B2,  we have to find the value of B. To solve the problem we first…

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A: given integration

Q: USE SYNTHETIC DIVISION 16 x4 17 x2 2x - 6 ÷ x – 2 -

A: Solving the problem by finding the results.

Q: z(Z-7) at z= 5

A: =z(z-7)substitute z=5=55-7=5-2=-10

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A: The solution is as

Q: x? + 13x – 48 = (x – 3)(x 6. x? + 17xy – 60y? = (x + 20y)(x.

A: Given, x2+13x-48

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A: 1) The probability distribution is given as follows: Event Probability Attend a 4-year…

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Q: (d) 2√2-7 = 16 x 22 X

A: given  2x-7=16 if ax=ay,  than x=y

Q: 2) Show that a3 + b³ = (a + b)(a² – ab + b²) is a polynomial identity. %3D |

A: Start with Right hand side as follows.

Q: Express as a polynomial.

A: The given expression is 3y3-2y2+y+4y2-3.

Q: d 4х +11 15. In((x + 1)(2x + 9)) dx (x + 1)(2x + 9)

A: Given:ddxlnx+12x+9

Q: S -3 X -dx Select one: 0-31n|x + C 0-3log|x + C 0 - 3x + C 3ln|x + C 3log|x + C

A:

Q: Find the integrals using integration by parts. b. [ Vx In /xdx

A: Consider the given: ∫xlnxdxIntegration by parts:∫udv=uv−∫vdu

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A:

Q: xy – 3y + 3x² – 9x =

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Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In…

A: