Separation of Variables: x?dx +y(x – 1)dy = 0 a. (x + 1)? + y? + 2 In c (x – 1) = 0 b. (x + 1)3 + y3 + 3 In c (x – 1) = 0 c. (x + 2)? + y? +2 ln c (x – 2) = 0 d. (x + 2)3 + y3 +3 ln c (x - 1) = 0 e, none of these

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

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A:

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A: We need to isolate the y terms, in the given equation,…

Q: 3x +2 J. - dx. (x² +9)(x– 4)x 10. Find the principal value of

A:

Q: 2x - 2x2-3 dx - Find 4 x* + x²

A: To evaluate: ∫2x3−2x2−3x4+x2dx Let, I=∫2x3−2x2−3x4+x2dx ⇒I=∫2x3−2x2−3x2x2+1dx

Q: Find f′(x) and f′(c). Function f(x) = (2x2 − 3x)(9x + 4) Value of c = −1

A: f(x) = (2x2 − 3x)(9x + 4) c = −1   f'(x) = (2x2 − 3x).(9x + 4)' +  (2x2 − 3x)'. (9x + 4)        =…

Q: Find f′(x) and f′(c).

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Find the zeros. f(x) = x' - 4x2 + 3x + 2 %3D

A: Here given as fx=x3-4x2+3x+2put x=2f2=23-4×22+3×2+2=8-16+6+2=16-16=0⇒x=2 is zero of f.⇒x-2 is a…

Q: 1. y=x√x²-2

A: Note: According to our policy, we can answer only the first question or the first three subparts of…

Q: х3 (2 — х?)1?dx x3 dx 1 — 2х2 1 x²dx Vx2 + 4

A: ∫un du = un+1n+1+C ∫a2+x2 dx = xx2+a22+a22sin h-1x2+C ∫1x2+a2 dx = sin h-1xa+C

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A:

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A:

Q: (x*2)+(y*1.5)+(z*0.5)=20 find the values of X, Y, & Z

A: Please see the below answer.

Q: (2х — 8) dx 2 х — 8х + 25 X

A:

Q: x(t-1) * 6[t+1] equals x(t+a) where a equals. Answer:

A: Given, x(t-1)* del(t+1) = x(t +a)

Q: Use the functions f(x) = 2x + 5 and g(x) = 3x² to calculate each operation and simplify, if…

A:

Q: d -(f(x² + 3x)) dx

A: Derivative

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A:

Q: | (7x + 4) e dx

A:

Q: = / y ²³. (X²+1) (3x+4) 5/ (2x-3)(x²-4) Find dy da

A: To find dydx:

Q: 5-2x 13. f (x) = 3+2x

A: Given: f(x)=5-2x3+2xwe know that defination of derivative is…

Q: 3- Show that the function y = x³ + 3x + 3 satisfy the y= + xy= - 2y = 0

A:

Q: x-3 dx (2x–10x+13) /10x²–42x+45

A: To evaluate the given indefinite integral.

Q: VT-x- 5 | f(x) = 6.

A:

Q: xe 47. h(x) Rule %3D x + 1

A:

Q: Hnd the Derivatives fCX)= (X2+1 )3(12 F(X)=1X X3 2x+ 8 f(x) = (X3 +3x2)3 +3 xt

A: It is needed to find the derivatives of the given function.The first function whose derivative is to…

Q: 2x + 3 If f(x) then x + 2 dy /(x+ 2)2 %3D dx

A: Given: f(x)=2x+3x+2 The objective is to find the numerator a of the derivative of the given…

Q: If H(x) = 4x* - 8x + Vx, then find H (x).

A: Find derivative of H(X)

Q: Solve (2x – 10°) +y=0

A:

Q: If a +b then | f(x)dx #0

A: To prove or disprove the following.