Given: h (t) = ; Find h'(t). %3D +2 O h (t) = 8t (1+t) %3D (t+2)* 8t Oh (t) = (t+2) %3D Oh (t) = 8t3 %3D (f+2) 8t (t-1) O (t) = %3D (t2+2) O (E) None of the choices

Q: x²+1 Find J+3x+1 11.

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Q: S (5x - 3x + 5) dx %3D

A: recall: ∫xndx=xn+1n+1+C

Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

A:

Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: Differentiate. y= In [(x +2)° (x + 5 (x+ 7)°] [In [x+ 2)° (x +5)*(x + 7) ]] =O dx

A:

Q: (2x) y (2x+4) (3y+8) 7. mZP = mZR = %3D R.

A: Some Properties of Cyclic Quadrilateral In a cyclic quadrilateral, all the four vertices of the…

Q: S Sifoo-gool dx O d2 (f.g) = Sup {/fox) - gox|} V£₁9 € [0₂4] if d, (fig) = Find Ⓒd₁ (√x,x) @d₂…

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Q: Find the inflection point(s) (x,y) to the function f (x) = x²+x+1 %3D x2

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Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: Find F(s). F(s) = £{t(et + e5t)2}

A:

Q: Va –2 -dx aㅎ (V+1)

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Q: Find the zeros. f(x) = x' - 4x2 + 3x + 2 %3D

A: Here given as fx=x3-4x2+3x+2put x=2f2=23-4×22+3×2+2=8-16+6+2=16-16=0⇒x=2 is zero of f.⇒x-2 is a…

Q: Vx - 2 dx 5 x*(Vĩ + 1)

A: I have stated the used formulas in the solution

Q: If y = 3 then dy/dx = 4+x O -6x/ (4 + x² )2 O 3x/ (4 + x² )² O 6x/ (4 + x² )2 O -31 (4 + x? )?

A:

Q: Find dy/dx if y = 3(x² − 2x)(6 + x5). O 21x6-36x5+ 36x - 36 21x6 + 36x5 + 36x - 36 O 21x6-36x5 + 36x…

A: Solve for the differentiation

Q: If f(x) = Vx+1 %3D 1 g(x) =- X+4 1 h(x) = - X Then find (fogoh)(x)

A:

Q: x² – 10x – 5 dx |x- 1)-(x² + 1)

A:

Q: 6. (a)f dx x(x +3)2

A: To evaluate the given integral

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

A:

Q: (3) S x²Vx + 1 dx

A:

Q: 3x+4x+1 6. J x-x+4x-4

A: Indefinite integration

Q: 1. f(x² − 3x + 7) + (2x − 3) dx

A: In this question, we need to integrate the given function.

Q: 7) Find √ (1/1₂ + 3x + 2) dx

A: Given problem:- ∫4x2+3x+2dx

Q: 5/A) Find for the function dx V2x - 3 (x+ 2 y =- V3x - 2 Find the Domain of the following function x…

A: We have  y=2x-3x+223x-23 differentiate with respect to x dydx=ddx2x-3x+223x-23

Q: Find Df,Rf/f(x). X 3 √x + √ X

A:

Q: Ify= (x³ + 1)“ , theny = ? (A None of the given choices B(3x2)? © 2(x³+ 1) O 6x²(x³ +1) E 2(3x² + 1)…

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Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: Find y 1f y=X in (4x+1)

A:

Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

Q: x2 - 10x - 5 dx J (x - 1)2(x² + 1)

A:

Q: Evaluate: 2 (1) (2-3)* dx 1 1 dx x + 5 (2)

A:

Q: l (x+1)²√x²+2x-3 dx

A: To evaluate the following integral. ∫1x+12x2+2x-3 dx

Q: VT-x- 5 | f(x) = 6.

A:

Q: √(x + 3) dx √16-x²

A: Solution

Q: 2x + 3 If f(x) then x + 2 dy /(x+ 2)2 %3D dx

A: Given: f(x)=2x+3x+2 The objective is to find the numerator a of the derivative of the given…