Note /M=4.9 -Mx хе y" + 3M²y = – 4My' (2Mx +1)' 3

Q: Differentiate the following     y = ln (5p-2- 4 /sqrtp)

A: Chain rule:- dxd(f(g(x))​=f′(g(x)).g′(x)

Q: Differentiate y = 2(2x - 1)5/4.(2x + 1)3/4

A:

Q: i '2/3

A: Given: i23 we know that amn=am1n

Q: Differentiate y = 3e2x/(1 + x2.)

A: y=3e2x1+x2

Q: ~3 1 (c) dx (x 1) 3. -

A: Given query is to find the integral.

Q: Find [(42³ + 3x²) da dx + C

A: The given integral is

Q: 0.0400= I.100-x]L•100-X] (2x3

A:

Q: 3t 2x"-2x'-4x = 2e" 5.

A:

Q: Зи 3u-7u=6

A: Here we have 3u2-7u=6

Q: %3D Bi'

A:

Q: solve for A, 1.35=[((1+A)^6-1)/A]

A:

Q: Simplify. (30y+ 13) - (-6y² - 15y + 13) O6y?+45y-26

A:

Q: y = In( sech2x)

A: The objective of the question is to find the derivative of the function y = ln(sech^2(x)).

Q: y" – 25y = 0

A: Given: the given differential equation is y'''-25y'=0

Q: -2 x" = x12 n3D

A:

Q: What is the INITIAL VALUE for the equation: y= 24000 (1 - .08)^x? *

A:

Q: 6. Given: x = 2x / (10,000 - x²)

A: Given:  μx=2x10000-x2

Q: ²4 -64x y ||

A: Given, -64x9y243  = ?

Q: Sdlve: 4 t 3(2^*") = 13

A: Given,           4x-1+32x+1=13

Q: 2. (81-x')

A: Consider the provided integral,∫x381-x22dx apply the trigonometric substitution,x=9sinθ then…

Q: Solve for z. (2-i)z+8z^2=0

A: Given equation is, (2-i)z+8z2=0

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.