Let a be a constant. Given that ) -71 3z In(az)dz = e2 ( 28 - find In a.

Q: 21) Find the missing values in the figure below. 10 f Law of Casines, 28- A. ED= 6 ft BC = 9 ft B.…

A: Consider the triangle

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A: This is the problem of the Hermite formula, Rodrigues Formula, and infinite series.

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A: Topic- triangle

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A: Note: Hi, thank you for the question. As per our company guideline we are supposed to answer only…

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A: This question is taken from the Definite integral in which we have to find the k value by solving…

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Q: P. Im(f(z))dz O equal to the above None of these

A: no these are not equal because

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Q: Solve using the U-Technique Question 10 For ſk*e3*dx = 1 (ke)3x 3 (1–In 2-1) If u = 3x, then k =?…

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Q: (a) Find all the solutions of e²+e¬z cosh z 4. (Hint: cosh z -) 2

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Q: Let a be a constant. Given that 3? In(ax)dx = e1² ( 12 3 -23 find In a. 3

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Q: Let a be a constant. Given that 3z° In(ax)dr = e® ( 10 – - -23 find In a. 3

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Q: If z + In(e3* - e + e²) = 0 dz find at the point (0, 0) -3 -2 3. 2.

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Q: Solve The Following Formula For T. U=M+Mrt t=_____

A: The equation is given by U = M+Mrt To evaluate : An expression for t

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A: We have to calculate the definite integral  By using substitution method  Putting  lnx = t…

Q: 3. The value of c is given by Vn А. /n+1

A: This is a limit problem

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A: According to question given that ∫1-10x-1 dx=k ln1-10x+C

Q: In approximating the population in terms of t, P(t) = P(0) - tP'(0). If the current population of a…

A: This question is related to Functions, we will solve it using given information.

Q: Let a be a constant. Given that 3x In(ax)dr = e18 ( 36 -89 , find In a. 3

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Q: R.1. Suppose A – BC Cn D and x E A. Prove that if x ¢ D then x E B.

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Q: Work out the following | (2x + 1)e² -z da =

A: we use substitution method to solve this integration

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Q: A- Find the integrating factor of the following D.E 2

A: a) Here we have to find the integrating factor of given differential equation:-  We have,  Compare…

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A: Given,              ez=1+3i

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Q: Apply Method of Substitution and evaluate : 6x° 192x7 dx 4 e +C, Where C is an arbitrary constant O…

A: From the given problem: I=∫ e6x8 192x7dx....(1) Now apply the substitution method to calculate the…

Q: Solve the following formula for t. A=M+Mrt t=

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Q: Let a be a constant. Given that 3x² In(ax)dx = e° ( 18 3 -44 + 3 find In a.

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Q: 7. L+ RI = E, where L, R, and E are constants when t = 0, i = 0 %3D %3D

A: The given equation is: Ldidt+Ri=E

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Q: Suppose that b>1 is a constant, and that x + 2/æ – I dx = 3+ In(10) . What is the value of b ? Your…

A: The value of b is 10   The detailed solution is as follows below:

Q: Let (t)= a. b. 2 53 (t² + 1 (t²-t 1|SL|SII e - e if 0 ≤ t < 2 if 2 st C ++ 211212 C. c. +-e-²5+/ d.…

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Q: Apply Method of Substitution and evaluate : 6x° 162x dx 8 e 3 e628 6x8 Зе + C, Where C is an…

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Q: 3. If f (t) =Vt, g (t) =, and h (t) =2t-4, find the formula for f (g (h(t))).

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Q: 59. Prove the general formula 1 I x – a)(x – b) where a, b are constants such that a # b. dx In х —…

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Q: Find all functions ult, x) that Solve: where and u(0,2) =0 , 2u co,a) >e²

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Q: 18((e3√x/3√x2)dx)   Those are cube roots

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Q: e -dx = x2 e Find c. 2 If Зе c = In 2 2 c = In(들) In(을) C e르2

A: our objective is to find the c.

Q: et A E C. Show that |A| 1 if and only if A= e for some 0 E R. %3D

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Q: (2)so3ə]E=l2], (22436)9]dz [e cos(z) (z–2)3 Iz|=3

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Q: 47. Let the assumed particular solution for the given DE be yp = (Ar + Bx² + Cx)e + E. What is the…

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Q: Solve e = 1+ V3i for all values of z

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Q: 4- Find e' in the form x+iy if z equals a) 2+ 1/2n i b) 0.5 -1.2i

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Q: If we know that E (") (x" 1) = ("†").t then show that Eo (") -C") r3D0

A: Given information: The given theorem is:

Q: cosh(1+ Inx)= Select one: e Inx None e?x² - 1 2xe x² +1 O 1+ 2x e?x² +1 2xe Zero

A: We will use definition of Hyperbolic function and properties of Logarithm

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A: