dy Given y x" In (2x), determine dx ax"- In (2x) + a-1 a.a"- In (2x) + 2.x O...n 1 None of these ax In (2a) + -

Q: Compute • d da - [In(1+x)²].

A: NOTE: Refresh your page if you can't see any equations. . use the log rule

Q: Using DeMorgan's Theorem, The simplified expression of the expression Y = (A' + C ) . (B + D' ))' is…

A: We need to find the simplified expression of ((A'+C).(B+D'))' using DeMorgan's Theorem.

Q: If §dx = A(B In|2 + x| + D In|2 – x) + C, then the value of 2A(B – D) is

A: This question can be solved by using the concept of some special integrals.

Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

Q: dx x (In² x – 6 ln x + 10)

A:

Q: finD 1) 2) g(s (x) a) p(x) x?-2x+2 b.) g4)==3x t. %3D cl.) s(x) = x-1 4) Cx))

A: Given that px=x2−2x+2, qx=3x+1, rx=x and sx=x−1. 1 We have to find the prx. prx=pxUse…

Q: 4 |(3t2 – 2t + 5) d

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Q: Find the L(e2" (1+ t)²). ,2t a) + (s-2)* 1 b) + (s-2)2 2 (s-2)3 (s-2)2 c)+2 (s+2)³ (s-2)? d) +…

A: The following formulas can be used to obtain the Laplace transform.…

Q: d given the following: Sy = u² + 6u – 2 u = 4x² + 8x +1 %3D

A:

Q: Ex: evaluate 1 203 (1- 3 (1 – t)0.9 dt 0.

A: Explanation of the solution is given below...

Q: Veridy that the approximate root of xa2 is: 1+Xn- Xn 2

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Q: s x + 4 x² + 2x + 5 - dx

A:

Q: Q₂i- If show that utt ч (хо) ut (x,0) - a 9/x). Z 3 u (X, Z) 2 Ux(xt) = a as 1x1_-2 ux 9. 2 u XX…

A: Using D'Alembert solution for one dimensional wave equation.

Q: The evaluation of S z dx is V4+x2 O In(sece + tan0) + c o - In(sec0 + tan0) + c c In|sece – tan0|+ c…

A: we have to evaluate the following integral .

Q: (2a® + a² – x – 2)dæ

A:

Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: 6e2x 1-etx Select one: -dx = O a. 6sin ¹e²x + C O b. In√√1-e4x + C 3sin-¹e2x + C O c. O d. 3√1-e+x+C

A: We need to find out the integration."Note that as per the rules, when the multiple questions are…

Q: Prove from the definition: n3 + 65n2 + √n = Θ(n3)

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Q: 3. (a) 5e (b) 2e-21

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Q: Find f'(1) if Ax) = (4x- 3) %3D 2.

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Q: Evaluate V(2a +3) – 3 lim 4x – 12 1 12 1 3 None 3/4

A:

Q: Evaluate 23x e* dx O (2e)x + C In2e (8e)* In8e + C (2 e)X In2e + C (8e)X + C In8e

A: Firstly, converting the product of the two terms into a single term.

Q: S23% e* dx Evaluate (8e)* In8e + C (2 e)x + C In2e (2 e)X In2e + C (8e)* + C In8e

A: We have to solve the integral

Q: f (3x² − 2) dx using the definition of the definite

A:

Q: x2 +3 dx x (x2+2x+1)

A: This is a question of indefinite integrals.  To solve this question we will apply the concept of…

Q: 2t – 5, t 2

A:

Q: (² 4 Calculate AT Let A = Select one: O a. O b. O C. O d. (63) 5 TOT -4 0 0 -2 -3 2B. 2 (9²) -5 -2 0…

A: The matrices are given by A = 0-24-3B = 21-11 To evaluate: The value of AT-2B.

Q: domain f(x) = V 26 – x Vx – 6 + V 20 – x -

A: See the attachment

Q: 13D 43. If a > 1 and b < 0, then 1-101 (A) (B) 1 9 (a) (D) b(a+1) (E)

A:

Q: 3 | (16t³ – 9t² + 7)dt Evaluate:

A: Given problem:-

Q: Q No 4 Evaluate (a) S 3x+4x+16x+20x+9dx (x+2)(x²+3)²

A: NOTE- I HAVE ANSWERED FIRST QUESTIO FOR YOU. IF YOU WANT THE SOLUTION OF REMAINING QUESTIONS THEN…