(3x2 - 2ху+ 3у?)аx%3D 4ху dy O (y- x)³(v+3x) = Cx³ O (v +3x)°(y- x)= Cx³ O (y-3x)°ly+ x) = Cx² O (y-3x)(y+ x)³ = Cx²

Q: Find dy/dt.

A: Given, y=9-4x3+2x; dxdt=-1,x=-3 To find dydt

Q: Integrate S(csc 3x + cot 3x)²dx A. cot 3x –csc 3x –x+ C -cot 3x -csc 3x – x+C -를cot 3x- sc 3x + x +C…

A:

Q: 4. f(x, y) = 5xy - 7x² - y² + 3x − 6y + 2 5. f(x, y) = (xy − 1)² 6. f(x, y) = (2x - 3y)³

A:

Q: The figure shows the graph of two perpendicular lines.Which of the following pairs of equations…

A: GRAPH

Q: Evaluate the integrals

A:

Q: 2x 2x 2. y = y: x' +1 3. у 3 V(x-2)(x+1) (x-2)(x+1) 2.x - y = Vx* +4 5. y= Vx -4 6. y= V2-x · y =…

A: The questions above.

Q: 1. (16x y² etxy + y sec² (xy) – 2x + 3y) + (16x² y e*xy + x sec²(xy) + 3x)y' = 5

A: Given: 16xy2e4xy+y sec2xy-2x+3y+16x2ye4x+xsec2xy+3xy'=5

Q: 3x – 3y+ 4z = 6 4х - 5у+2z%3D10 x- 2y +3z = 4 =D4

A: Given the system of equation is  The matrix of form of system is

Q: Minimise Z = 1.5 x + 2.5 y S.T. 1x + 3 y 2 3 1x + 6 y 2 2 and both x and y 2 0

A:

Q: у +3у-еX denkleminin genel ҫozйтйпй bulunuz. a. y = e^(-3x)/6 + ce^(-3x) O b. y = e^(3x)/6 +…

A: The given differential equation is                                                      y'+3y=e3x…

Q: (b) x' = -x – 3y + 2z + yz, y' = 3x – y – z + xz, z' = -2x + y – z + xy.

A: As per your query the solution of the part (b) has been done in detail in the following steps.

Q: ことる ーx (x+2)(X-2) -6x (x -ax+4) y" CX+2) (x-1)3 need first derivative Eanalysis %3D (x-2)3 (x+2)°

A:

Q: (3x"-1)(3) %3D 3 Y +1 e 3x"-1 s 3x"+xY =4 %3D -) m =4 30 that 3x +1 %3D 3x4+1

A: See the attachment

Q: 4. x' = 3x – y, y' = 5x – 3y; x (0) = 1, y(0) = -1 %3D

A: The given system of the equation is: x'=3x-y,  y'=5x-3y with initial conditions x(0)=1 and y(0)=-1.…

Q: 19. 2x + 2y + 4z = 0 w - y - 3z = 0 2w + 3x + y + z = 0 -2w + x + 3y - 2z = 0

A: According to Bartleby guidelines we can only solve one question at a time. Kindly put other…

Q: 4. y+= y в. C. -y-4 D. y-4 с. А. 4y-2 4y-2 5. 4x2 + 4y2 = 36 A. - в. с. - D. 2 6. x2 + 3xy- y = 7…

A: solution:-implicit differentiation(4)y+x2=y2dy+dx2=2y dydx2=2y…

Q: ① y" +16y=ex y-y-6y=2sin 3x ly-y-2y=3x+4 4y" +4y+y=3x² グッ 2

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1. y" - 2y' - 3y= e2x by D- operator method

A: Solve for cf and PI

Q: Differentiate x + y = e2x+2y A. 1 – 2e2x+2y 1+ 2e2x+2y y' В. -1 + 2e²x+2y 1 – 2e2x+2y y' | С. ||

A: Given query is to find the derivative of the expression.

Q: Find y': y=V5+2 — 2 O y = 7-2x 2√5+2x-x² Oy = √2-2x 1 Oy = 2√5+2x-x² 1-x O y = √5+2x-x2

A: We have to find derivative of given function.

Q: 1 y = V+ %3D x-1 x- 3 y = 4-x2

A:

Q: how would I take the partial derrivitive of this equation, I cannot use the chain Rule as we have…

A: Given function,

Q: Graph the functions

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Lt² V4-t² dt V(4-x)/(2\x) x(4-x)

A:

Q: 1. y" - 2y' - 3y = e* by D- operator method

A: Since you have posted multiple questions so according to our guidelines we will solve only first…

Q: 2x +y-z=3 x- y+z=0 y+2z =1. Then x=

A: Given system of linear equations; 2x+y-z= 3 x-y+z = 0    y+2z=1 We can use Cramer's rule to solve…

Q: 1. y = - V2x +1 2. y = (x – 1)3 + 2 3. y =-1 2x

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. (2x2 + 2)dy + xydx = 0

A: (2x2 + 2)dy + xydx = 0

Q: х+ 2y - z %3D 1 = 1 X - = 2 y + z = 3

A: Let   x+2y-z=1↦Equation 1x-y=2↦Equation 2y+z=3↦Equation 3 by taking Eq 1-Eq 2, we get…

Q: 1. уд y = 5x -x y=Vx+2 (4, 4) X= 2 y x x+1 y = 1 2.

A: "Since you have posted multiple figures, we will answer the  questions 1,2 and 3.  If you want…

Q: 5z2+2z+1 dz Rzl<2_ (z-i)³ 1z|<2

A:

Q: 2y + z = 1 29. у + 2z 3D 5 y (x + y + 3z = 8

A:

Q: Vy = 2 Input Output 1 -2 -0.5 %3D - -1 -1 1 1 Vy = va %3D 2 0.5 3. 0.33 Vy = |a| %3! b. Input Output…

A:

Q: = 2 + Vy - 2x + 3 (reduction to separation of variables) 1. dr dy

A:

Q: g(x) = -x2 %3D y y 10 10 -10 -5 10 - 10 -5 -10 y y 10 10 -10 -5 10 - 10 10 -5 -5- -10 -10-

A:

Q: #15 using the matrix method

A:

Q: 2x y'' – 3y' – 10y = 7e y(0) = 1, y'(0) = - 17 - %3D %3D

A:

Q: max x+ y2 + z² subject to x2 + y² + 4z² == 1 and x+3y + 2z = 0

A:

Q: Use Gauss-Jordan elimination to solve the system:

A: Given: -x-y-z=14x+5y     =0       y-3z=0

Q: First order linear of 2x3y'=y(y2+3x2)

A:

Q: v - 2w + x + 2y - z = 6v +3w- 2x + 4y - 3z -v + 2w – 3x + 4y – 5z = Ev + 13w – 2x + 8y – z = -

A: Gauss Jordan Method: Gauss-Jordan Elimination is a method for finding the inverse of any invertible…

Q: 2X + y - x - 2y + 2z = -11 3x - y + z = (x, y, z) =

A:

Q: 2x+y-52 +l =. X-y+ 2-6= 0 4x+zy-32+8 =

A:

Q: Y+ 2 - 3W -2 %3D 3x +y -z + sw - 0 2x + y - z t 4w : o * + y -2 + 3w :0

A:

Q: dy х+2у—1 ах 3x +2y — 1 %3D b.) (x- 2у + 1)4 3 с (2х + 2у + 1) с.) (х - 2y + 1)4 3 с (2х + 2у - 1)…

A:

Q: y" = 2x – 3, y(0) = 1, y(1) = 1,0 < x < 1 %3D -

A:

Q: 2. 2r +z +w 5 y -w = -1 3x -z - w = 0 4r +y + 2z +w = 9

A:

Q: x - 1 = λχ y = 2 = λy z = -λz (x² + y² = z² = 0,

A:

Q: arctan 2x 41. Differentiate y = x2{2x-(1+4x²) arctan 2x] (1+4x²) а. _x²[2x-(1+4x²) arctan 2x]…

A: We have to solve

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.