What are the critical points of the function f(x) = x² ln(x)? ○ a. x = 0, x = e−¹/2

Q: find the general solution of the pictorlal differential equation.

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Q: Solve for x and y -4 X -4 11 3y 6 15 6 X= y=

A: Given equation is

Q: 1 + 1 V v -40 -5

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Q: a = 2x + 6xz solve for x

A: The given equation is: a = 2x + 6xz  To solve this equation for x, take the x common from the right…

Q: Solve 2x - 1 + 3x – 2 = 4x – 3 + /4x – 3 + 5x – 4

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Q: (0² +4) y = 8 sec 2x

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Q: 2-t = logs (t - 1) + 2. %3D

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Q: y= Ax + Be

A: Given equations y = Ax + Bex To eliminate the arbitrary constants.

Q: solve D.E (Z+3j) du – 2xydy = 0

A: Given problem:- (x2+3y2)dx -2xydy=0

Q: Solve for y in terms of x   xy=x-y x2 +y2= x+y 2x+y=8

A: Given: To solve for y in terms of xxy=x-y x2 +y2= x+y 2x+y=8

Q: = 4 y = 2x – 1 :-y

A: Topic - linear equation In two Variables

Q: (x* + 1) (x²-2x ti>

A: Given  I=∫dxx2+1x2-2x+1 Apply partial fraction decomposition 1x2+1x2-2x+1=Ax+Bx2+1+Cx+Dx2-2x+1…

Q: We are constructing a box from a rectangular piece of cardboard. The piece of cardboard which…

A: topic - functions

Q: Solve for Z. X= (Y-Z) 3

A: Given: X=23Y-Z We have to solve for Z.

Q: Solve for x

A: Square both sides.  On right side use (a-b)^2= a^2 - 2ab + b^2

Q: (2x + x²y³)dx + (r³y² + 4y³)dy = 0 %3D

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Q: Solve the following set of equations with LUdecomposition: Зx1 — 2х2 + Xз3 —10 2x1 + 6х2 — 4хз — 44…

A: Given:          3x1-2x2+x3=-10         2x1+6x2-4x3=44         -x1-2x2+5x3=-26

Q: solve for y. 3y = 2y+1

A: 3y=2y+1

Q: Solve for x and y if:2x + 3y = 5 and3x + 4y = 4

A: First we get the value of X from 2X+3Y=52X=5-3YX=(5-3Y)/2