1 Vn > 0, 2(аn+1 — аn) %- 2n

Q: *+x*tx +2 dx x+3x*+2

A: Given integral: ∫x3+x2+x+2x4+3x2+2dx Perform partial fraction decomposition…

Q: S x4X+1 2

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Q: 50 (e*-2)(e2x + 1) et dx

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Q: d/dP (11 - 3P)

A: We have to find the differentiation of the function: d11-3PdP We know the formula of…

Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: x2-4x dx 3) S (x+1)(x²+4)

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Q: tet and gx)=H %3D X-) Find (9.f)(x) and ff) (f.3)(x)

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Q: y=3x+4 / 2x+1 y`(0)=?

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Q: Integrate S(x-4)(x²-8x+12} dx

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Q: Express the following in the form In(x + a) + ln(x − a) + ln(x² + b), with a, b = N: In(x¹ − 1) = |…

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Q: if y+z=10, then (10x+y)(10x+z)=100x(x+1)+yz?

A: It is given that y+z=10. Use multiplication of binomials to find the value of the following:…

Q: 2 L₁ (2x - e²x)² dx A. B. C. D. 31e¹+36e²+3 12e4 31e¹+36e²-3 12e4 31e4-36e²+3 12e4 31e¹-36e²-3 12e4

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Q: - In(1) none of the choices -5 - In(3) - In(4)

A: Integration of Rational Function: A function of the form , whereand are polynomials, is called a…

Q: P ( Z > - 170) =

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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? )?

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Q: S tan-1 е' 1+4t² 2t dt

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Q: 3-J (х* + 2х 3) dх

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

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Q: evaluate L-1 { t/(s-2)(s+3)}

A: By using partial fraction and table of Laplace transform we solve the given problem as follows :

Q: Integrate

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Q: Yob) a) fog)(x) & 3. = (x)) JI 2. x+2 (x)6 8 %3D then find

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Q: 2/3 = z/15

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Q: 13 5x³ y³ • 2 12 x yt

A: Given:2. 5x23y45 . 2x13 y253. 2a12b236

Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

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Q: p(x) = x / 5 x = 1,0,1

A: Given, p(x) = x / 5 ;        x = 1,0,1

Q: Sn( Lin el0x=ydydx = In(5) fIn(3)

A: Given integral is ∫0ln5∫0ln3e10x−ydydx. We have to evaluate the double integral…

Q: P(5 SxS 17) =

A: Given, Mean = 8 standard deviation = 6

Q: If the dependent variable goes up when the independent variable is increased this is a(n)

A: If the dependent variable goes up when the independent variable is increase, this is an estimating…

Q: る(4xナx)(10x2+x2-2

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Q: Find the sum H=p+q+rand calculate average value of the function f(x),

A: In this question we have find the average value of function f(x) in the given interval. here we used…

Q: 9" -४ - 24 = x %3D

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

Q: (2xe + e*)dx + (x² + 1)e'dy = 0

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Q: solve for x if CDy=4(x-E)

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Q: L₁ (2x - e²x)² dx

A: Given integral is ∫-10 2x-e2x 2 dx

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.