Find y 10. y 2x+3 11. y= 2x-1 Find y" 12. 9x+y 9

Q: Find Deri vative 2X-4 Y= 4,2x e

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Q: dzy 5. If y = 4x3 + 3cosx + x2sinx + then find dx2

A: Formula of derivativ y'=dy/dx and d²y/dx² = y"

Q: 40 = 7=- y 21 b) %3D %3D

A: We have to find x and y

Q: 27. х %3D ソ= z = 43 L 23 2х + 5 4х - 3 y A R

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Q: State the slope of the line and name two points on the line

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: (3y+ 5)° S 153° (2y - 7)° P mZQ= mZP = MZQRP =

A: Use exterior angle and straight angle

Q: 2 y+ 3 dy y + 5y + 6

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Q: y = eX/9 y 2.0 1.5 1.0 0.5 -5 -4 -3 -2 -1

A: Given: y=ex/9 To find : The area of the unbounded shaded region. Area under curve is given by-…

Q: 15. y" – 10y + 50y = 0, y(0) = -3, y(0) = 1 %3D

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Q: 2"(5 – y)°dy

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Q: 3 (Y= メSx

A: Giveny=x3(5x2+1)-23 To finddydx

Q: (11 Suppose that y varies directly with x. When x = y = 30. Find y when x 7. 5, %3D

A: Two variables x and y are given. Among these variables, y varies directly with x. From this direct…

Q: y"=4y'+3y=20cosx

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

Q: 2. S 2z+8 dz (z+7)a

A: A detailed solution is given below

Q: 2 =1+y, y = 26(t – 1) + 4x,

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Q: ý +4ý + 3y Y6) = y'(0) = 1 %3D to

A: Given that

Q: 7) y"+4y+20y-23sint-15cost y(0)-0, y'(0)--1

A: We have to solve given problem:

Q: 5 y"+y'+y =t-Un/2(t) 4 y(0) = 0, y'(0) = 0 2

A: Consider the given differential equation.

Q: 2ryy' –1-y - 0, y(1) = 2, one can fir

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Q: y" + 4y = -5, y(T/8) = -, y'(T/8) = 2 У(п/8) - У(п/8) — 2

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Q: 9x-y+z=3 10x-y+z=8 Find (x,y,z)

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Q: 9 dy 3) (y+2)

A: Given, ∫1∞9dy(y+2)2

Q: h(z)=-z5+8z3-5z2-7z+35      differentiate

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Q: 20+y dy 20-y -20

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Q: max z = 2x + 8y s.t Зх + 9y < 45 2х + у 2 12 х, у 20

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Q: Differentiate y = 4sin (x) + 11x and evaluate y (0). Enter the value y (0) in the box and upload…

A: topic - derivative of a function

Q: (D+30+3 (0+30+2)) -2)y ex %3D

A: The given differential equation is: D2+3D+2y=e-xx where D=ddx is the differential operator.

Q: 23- y" + xy = 0, y' (0) = 0, y' (L) = 0

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Q: *5. Consider ry² + x°y = 6.

A: We have to find the derivative

Q: Solve S(y + 1) + S(2y -5) = 3

A: Given equation: y+1+2y-5=3 Concept: Here we shall first remove the root by squaring both sides.…

Q: у' %— х — 4у, when x %3D 2,у 3 3 y' — х — 2усot 2x

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Q: X + y + z = 11 X - y + 5z = 17 5x + 5y + 5z = 19

A: See the details solution in below

Q: [a] -(-x)= x [b] (-x)y = -(xy) and (-xX- y)= xy

A: We use The fact that (-x)+x=0 and x*0=0

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: 2. y" – y = 4 cost y(0) = 0 y'(0) = 1

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Q: 4. y'%3 х — 4у, when x %3D 2,у %3D 3

A: Here we solve the linear differential equations.

Q: er of y+ 3

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Q: 2 lim y→7L_– 4y – 21 3y Зу — 17у — 28 -

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Q: 4y2 – 7y – 12 dy 17. \ y + 2)(y – 3)

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Q: 3) Find if y = 5x5e* dx

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Q: 4t^2y"+8 ty'+y=0, y(1)=-1 and y'(1)= 3

A: We have to solve the following Cauchy Euler differential equation: 4t2y''+8ty'+y=0. The initial…

Q: Y= 1/9 cot (3x-4) Y”=?

A: Here we will use simple standard results of derivatives to find double derivative of the function

Q: Find y(t). + 20 ( 2+16 S Y (s) = 10 (16) s2+16

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Q: 3) y=--x - 1 | 1 y =-x-4 4 Ay 5 4 3 -2 -2 -3 Answer:

A: follow the  next step

Q: 28. y' ry + 1; (ry+ 1)dr- dy 0 29. dr- dy 0 %3D

A: Differential equations

Q: 4y" + y' + 5у %3D 0 у (0) 3 2 y'(0) = 1 у" (0) — —1 %D

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Q: 2) 2 dy +9 = 0, y(0) =-3

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Q: 10 y = x 11 y = Vx +1 12 y = 4 + 3x

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Q: 2. Differentiate the following: (a) y = x²z

A: The given expression is: y=x2x   ...1   As we know the Product rule: f·g'=f'·g+f·g' The Power Law:…