Differentiate the following function. 2 + 6t s(t) = (P-1) (-7) %3D Choose the correct answer below. [(P-1) ( - 7) ](2t + 6) - (P + 6t) [5t* – 3? – 14t] [(P -1) (1³ - 7)]² 14t]-[(P-1) (-7)](2t + 6) [(P -1) (* - 7)]² (P+61) [5t* - 3? + 141]-[(P-1) (* - 7)](2t +6) (P +61)? [(P-1) (P -7) ](21 +6) - (P + 61) [5t* – 3° - 141] O A. (P+6t) [5r* - 3r² OB. Oc. OD. +6t

Q: 1 |(12x5 - 11)dx -1

A: ∫-1112x5-11 dx

Q: Evaluate -dx (л — 1)(1? — 6л + 10)

A: The given integral is  I=∫-∞∞2x-1x2-6x+10dx Using the partial fraction , we get…

Q: x = [?] 2x + 9 8x + 1

A:

Q: (d) Е(2X- 4). (е) Е(6X+ 3)2 + Var(7X — 24).

A:

Q: Find -- (P+6)²+ 64

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A:

Q: fnd all xeR where -5x (x+) n=2 ナS is Convergent- +5

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Q: Which of the following is equivalent to (1-x)(1+x) -3x(2-x)  A. -4x2 - 6x + 1  B. 2x2 - 7x + 1 C.…

A: Given expression is (1-x)(1+x) - 3x(2-x)

Q: 5x+1 7. Evaluate f (2x+1)(x-1)

A: Reduce the equation into two terms with the help of partial fractions.

Q: (а) 3х < 5х—8 |

A: Topic:- inequality

Q: -1/2(6p+16)=7

A: -1/2(6p+16)=7

Q: -8x? + 16x + 8 dx (x – 1)2(x² + 1)

A: We will solve the problem

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A:

Q: 3r 75

A:

Q: (6x+7)(6x 7) |3|

A:

Q: O lim 5x+ 2 4x2-1

A: First we put the given value and find of the limit exists or not and then we can apply the L…

Q: x2 + 8x + 15 = (x + 3)(x 4. x2 – 9x + 20 = (x – 5)(x.

A: Givenx2+8x+15we can rewrite 8x as sum of 3x and 5xx2+5x+3x+15taking common parts…

Q: (7x² +7x) dx

A: The objective is to evaluate the integration

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

A: Given, x2+13x-48

Q: x - 1000 = (x. (x² + 10x

A:

Q: 4(x+3) -1=7

A:

Q: Let f (2) = 2x –7 and 9 (2) = -4x +3 Find (g o f) (3) %3D

A: Given that, the functions are fx=2x-7 and gx=-4x+3. Obtain g∘fx.…

Q: Subtract (4q - 8) from the sum of (3q² – 7q – 4) and (6q² + 6q − 2).

A:

Q: For each of the following sequences, if the divergence test applies, either state that lim an does…

A:

Q: 49x3-196 x? +4X-38 4ax2+9

A: given; ∫49x3-196x2+4x-3849x2+9dx

Q: 10 What is the 6th term of (x − 1)¹⁰-

A: To find 6th term of x-110. Formula for general term of expansion of a+bn is given as -…

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A: Given: ∫2r+1r2+2r+1dr

Q: (10x−4)+(−7+x) = ​(10x+​___)+​(−4+​___

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A:

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A: We have to find if the series convergent or divergent.

Q: Find the sum. (9x2 – 7x + 8) + (5x² + 3x – 9)

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Q: L-1| 12 ] = ? (s-3)+ %3D

A:

Q: The ſ(x² – 2)² dx is {A}x -x³ { B}x* – 4x² + C {c}x$ – 4x³ + 4x – {D}x – 4x + C + 4x + C

A:

Q: Find the product. (9x + 4)2 (9x + 4)? =| %3D

A: Given,           (9x+4)²   To solve it, simply expand : Using (a+b)² = a² + 2ab + b²   So now,…