Simplify the following into a single logarithm: 4 log(5) – 2 log(x) 54 O log O log(4 · 5 - 2x) O log(4 - 5 - 2?) O log (5*a²)

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A: Here we have given particular solution.so we use undermined cofficient to determined the value of A.

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A: The Laplace transform of tn is        Ltn=n!sn+1, for s>0

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A: Find the roots of 13  

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A: dydx=e-3x and y=79 whrn x=0

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A: The given number is:

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A: Given :                 X>0  and 4>0 -----------------------------------(1)                 th...

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Q: J Sin (In 6) de

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Q: B. EXACT EQUATIONS Find the general solution of the following differential equations (1) (x² + y²) +...

A: Solution is given below:

Q: . Thrice the sum of two numbers is 30 and the sum of their squares is 52. Find the product of the nu...

A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

Q: 2 dy + x da The differential equation g3. - 5y = e" is: %3D O linear and second-order O non-linear a...

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Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a = 4 is y = 8x – 3...

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Q: lim 9-t 3-1T

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

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A: Here is the solution

Q: with subsidiary cquatvon: * Solne the differential equatun with subsidiary cquatvon: 5. y (s) = (s+2...

A: 8)

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A: The correct answer is option (A) i.e. t = 11.4 minutes

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Q: Which of the following would be the most appropriate substitution to make to solve the differential ...

A: To determine: Best substitution for  

Q: Use the definition of derivative to find f'(x) and f"(x). f(x) = 4x2 + 8x + 3 f'(x) f"(x)

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Q: C. Find the third derivative of the given function/s. 3. у %3D х (2х + 1)2 4. у %3D (2х— 1)(х + 2)2

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Q: Consider the following functions: f(x)= 9 – 2x and g(x) = 21 – x – 2x². Evaluate (f – 9)(a² – 1).

A: Given functions are fx=9-2x and gx=21-x-2x2find f-ga2-1

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A: Half-life = 0.693/Decay constant(lambda)

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Q: Given the differential equation y" +3y + 2y =D Which of the (1+e²) following equations result after ...

A: sOLUTION IS GIVEN BELOW

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Q: んんoん the following ir NOT メrue ? . If a is in R and a is not egual to 0, メhen 6.1f m and n elements ...

A: To find that which from the given statement is not true.

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Q: What is the integral of f(x) within the interval [2, 4]? AY 6- O Area = 2.0 O Area = 2.5 O Area = 4....

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Q: Two streams of fluid are entering a tank simultaneously. The first stream contains fresh water and f...

A: Since, first stream contains fresh water which does not contain salt. Therefore, first stream does n...

Q: 2x+5 x-1 Solve for the values of x in 323*2 411x+24 and in %3D 64 %3D

A: Given that: 323x2=411x+24        and         1162x+5=164x-1

Q: 4 y = x4 %3|

A: topic - differential equations

Q: 1. Consider the following graph of f(x) =(*-5x +3x+1) -15 -05 05 15 2,5 3/5 45 a. List any x-values ...

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