L{ e?t (t – 1)² }

Q: dy O Find , if y = In(7x² + 5y?). dx

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Q: (トタりナーそJ0 on メou sqo とてラメテ0 'hらトラメe 1(h8)3-9 4 トtト×ピーメピ(トタ)さーそ ト×-メと -(ドメ)きーモ

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Q: d(a*) Suppose a E R, where a>0, a± 1 What is dx

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Q: d'Y Find dx X - t? + t 2) Y = t + 3

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Q: dx If |h(0) de, then h(e) d0 : (4+x²)³

A: Given, ∫dx4+x23=∫hθ dθ

Q: e dz when : C, = {z e C:|z|= 1}

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Q: 12) [f x e dxdy

A: See the details solution in below

Q: Q1) Find dx for: 2 - (x? + y)? + (x - y?)? = x +y3

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Q: e) D (xe*) = (x + n)e*

A: We will differentiate the expression once at a time n times to figure out the pattern and prove

Q: Solve the following D·E 2) x – 2y = x³cos4x dx

A: Given D.Exdydx-2y=x3cos 4xdydx-2yx=x2cos 4xTo findFind general solution

Q: Q11: Find an expression of for y = 4*32x %3D dx

A: NOTE : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: K M 15 J L

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Q: F(X) = e? Find F(0). O 1.36 O1 XIN

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Q: (d) S ! + de 1 d.x V1-x²

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Q: dx Find the value of if it exists. x2 – 1 1 8.

A: I=∫1∞dxx2-1=∫1∞dxx+1x-1=12∫1∞2dxx+1x-1=12∫1∞x+1-x-1x+1x-1

Q: d*y 4. Find dx 1 if y=x' + 5 +13 2x? 3x 5

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Q: d) Pr(|X| < a) e) Pr(|X| 2 a)|

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Q: 3) f(t) = t*e?t %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: B D E 2x None 2 A √ N dx is equal to

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Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: dx T 1-x² 4

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Q: d Suppose a E R, where a > 0, a ± 1, what is [a*]? ... dx a" In(a) ... A xa*-1 B ... ... xa"-1.…

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Q: Simplify the following expression. d. | 4+1° dt (Hint: 1+P dt= dt + dt) dx -X -X 4+° dt=| dx -X

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Q: d tet dx 1+e* , xe" + e* – e 2x A (1+e*)? xe" +e* +e2« B (1+e*) 2 xe* + e2* (1+e*)? (1+e*)xe* – ¢2«…

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Q: Find the differential of the function. p = 7q – 6g3/2 dp =

A: Consider the function, p=7q-6q32

Q: For what value of c does dt 1? %D e0.1t

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Q: (e) f(x)=(Vx 3

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: What is the value of î · (j × k)?

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Q: c. Find for the above values of t. dx

A: (C) The given functions are y=2+t  and  x=t2-t. Evaluate the values of t for which dydx=2 as…

Q: M J 23 K N. L.

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Q: x+

A: We find solution of exact differential equation

Q: Find f(t). e s2 + 1

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Q: Se lnx? cix = In x 13. A 1 + K 3 + K C. ei+ K D 2 -eln x + K -3113

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Q: Find the differential of the function. p = 9q – 493/2 dp:

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Q: Write your answer using L (x) defined in the previous page. E (-1)" (2n + 1) / dx g² + n + 1)´ ( 27…

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Q: Find GH. 19 .C H. 9х- 3 5x + 1 E.

A: In this question given that a trapezium FECB and in this trapezium two side are parallel BC||FE .…

Q: Q4 Find y'of y = ln- ? 1+e0 e

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Q: b. Find L{f(t)} f(t) = (1 + e2t)?

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Q: L {t³ – tet + e4t cos t}

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Q: (d) y = x* (e) y = In(e2r + e-2#) (f) f(r) = e-

A: See solution below

Q: a) Verify the following result: 8. T(1 – x2)?dx = 15"

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Find d²y/dx² for the following equations: e) xy + y² = 1

A: Given equation is xy+y2=1 find d2ydx2

Q: 10

A: We have to find the derivative of ax It is given that a∈ℝ, where a≠1 and a&gt;0

Q: 11. (D² + D – 2)y = 2x – 40cos (2x) 12. (D? + D)y = -cosx

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Q: d(a*) Suppose a E R, where a>0, a +1 what is dr A xa*-1

A: To find:ddxax

Q: Find d²y/dx² for the following equations: e) xy +y2 = 1

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Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

A: Since you have posted a multiple question, we will solve the first question for you. If you want any…