Which of the following is one of the correct steps to differentiate y=(3x-2)2(2x-3)3 ? A36(3r-2)(2x-3) 2 3(3x-2):(2x-3)² + 2(3x – 2) (2x – 3) ² 6(3r-2)(2r-3) ? D6(3r-2):(2x-3)² + 6(3x – 2) (2r- 3): E None

Q: y" + 6y' + 8y = e-³t - e-5t, y(0) = 0, y'(0) = 0 a. (e³t-1)²e-5t 3t 3 b. (et - 1)³e5t c. (et -…

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Q: Suppose that y^-1= 7x ^-2/6z^-1 Which equivalent to y? A. 6x^2/7z B. 7x^2/6z C. 7z/6x^2 D. 6z/7x^2

A: I have given the answer in the next step. Hope you understand that

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Q: 17. y"-5y6y=t² + 7, y(0) = 1, y'(0) = 0

A: For an initial value problem with boundary conditions available, we have to convert the given…

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Q: 7. x+y (2r +2y-x)' at (0, %) -4 at (-3y3. 1) 8.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: x+y+z=3 x+2y + 3z=-0 x+3y+2z=3 What is the value of

A: Given equations: x+y+z=3x+2y+3z=0x+3y+2z=3 We have to find the value of x. Cramer's rule to solve…

Q: b) y =1+ f(z)=2x-2 O 1ks f-(z)=-1 O 2 34s (2)=2x-1

A: Step 1 Replace y with x and x with y  Step 2 Then solve for y in this equation  Step 3 Replace y…

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A: The given equation is exact.

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A: ∫x2e-x dxBy using integration by parts=x2∫e-xdx -∫2x∫e-xdx=-x2e-x+2∫xe-xdx

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Q: Which of the following equations represents the parabola

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Q: 2x+5y =16 7x-3y 15 3x+2y+z 14 4x-y+2z 12 a. b. x+5y-3z 10

A: (a) We write in the system of equations in the form of a matrix as, 257-3xy=1615 Now we get…

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Q: * 2.2 2x-1 + If y = Vx² – x then y' 3x2-x T O FO

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

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Q: y> r – 1 y -2x 1 O A. y 4 +++X 4 -4 -2 2- -4 y O B. 4- +++X 4 -4 -2

A: We will solve the problem

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A: For the first part, we differentiate the given function y with respect to 'x' and use change rule of…

Q: OA. y-1=-2(x- 3) B. y-1=-2(x+ 3) C. y+1=-2(x-3) OD. y+1=-2(x+3) Revie

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Q: Find d2y/dx2 if 2x3 - 3y2 = 8

A: Given:

Q: (D* + 6D3 + 9D²)y = 0 A. y = c1 + c2x + Cze 3x + C4xe¯3x + C4xe-3x B. y = ce* + c2xe* + c3e3* +…

A: Given DE is (D4+6D3+9D2)y=0.....(1)

Q: 3x2-3-4e2x and y(0) 8, then y= If dx x3- 3x - 4e2x x3- 3x - 2e2x + 8 x3- 3x - 2e2x x3- 3x - 2e2x +…

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Q: 2x + yーz = -7 3x-y+2z x+ 2y + 3z 18 ニ 13 三

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Q: Find d3y If y= W3-2x dx3

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Q: d²x is dy2 15 If x = (3 2y)5/2 , then 15 А. — A. -15(3 - 2y)1/2 В. 2 (3 2y)1/2 C. - (3 2y)1/2 D.…

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Q: dy Find if y = (6x – x³)% dx V6x - x² b. 2. V6x–x² b. 6- 2х (3 – x)/6x–x² - Y - X d. (6–2x)/6x-x² с.…

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Q: 1. (4D5 - 8D4 – 17D3 + 12D² +9D)y = 0 2. (D® – D°)y = 0 3. (D3-D2 - 4D – 2) y = 0

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Q: 4 X ~Y -Z -Zx+6y+2 =9 こ 4イ X -

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Q: 4x+ y+ ス+ w=D 6 3x+7y- z+ w= 1 7x+3y – 5z+8w = -3

A: use Cramer's rule to solve for y without solving for the unknown x, z and w 4x+y+z+w=6, 3x+7y-z+w=1,…

Q: [y(8y² -5)dy 4y* -5y? +5 1.

A: We can find the answer as below

Q: Solve the system.Use matrices

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Q: 3x – y + z = -1, -x+ 3y – z = 7, I – y + 3z = -7.

A: Given: 3x-y+z=-1-x+3y-z=7x-y+3z=-7

Q: 8у-1 dy 3. Jo 2y² –15y-8

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Q: 1. m(t) = -6t(5t* – 1)* 2. y= (x3 + 2)(x² – 1)* 3. y= (x - 8)* (x +3)5

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Q: 3.y=1x² -2x リ=(x-2x)。 dy=$(x²-2x)*x (2x-2) -2x) 12 (2x-2 %3D /2-) メ 2メ-2 d メ-

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Q: 1: 4t² y" +8ty + y = 0 2. 3t² y" - 2ty - 2y = t² - 3t

A: We can solve the given differential equations. Note: As per our Guidelines, we can solve first…

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A: Given equations are: x + y - z = 6 ............................ (1) 3x - 2y + z = - 5…

Q: 7 Find *: (a) 4x y3 + 2x'y-y-2x-4 = C dx

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

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Q: .x + y +z - 2t = -4 x - 2y + 3z + 4t = 10 2x + 3y – z + 2t = 9 4x - y + 2z – t = -7

A: The solution to the system of linear equations of the form AX=B is defined by X=A-1B. Inverse of the…

Q: What is y' if xy^3 + yx^3 = x - 3y?

A: Consider  xy3+yx3=x−3y

Q: Solve for the derivatives. For 16-20. y = -7x5 + 3x3 – 2x а. 35x4 — 9х2 + 2 b. 35х* + 9х3 + 2 с.…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: 2r + y – 2z = 12 47. {-x – y + z = -6 3x + y – 3z = 18 %3D

A: Problem 47: Dependent equation is said to be dependent when the system of consistent has many number…

Q: D’(D² – 4)y = 3x+ 2e¬3* | y = 3x + 2e¬3x m° – 5 - 4m³ = 0 ® m' (m2 – 4) = 3x+2e-3* D (D² - 4) = 0 3…

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