If MZTUV = (9x + 1)°, m

Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

Q: If y(x) is a solution of xy" +(1-x)y' +6y = 0, find the value of y'(2). %3D

A: Given differential equation is xy'' +1-xy'+6y=0 -----(1) Also,  y'' +1-xxy'+6xy=0 Here,  limx→0…

Q: If h(2) = 5 and h'(2) = -3, find d(h(x) dx X = 2.

A: Gievn   h(2)=5  h'(2)=-3 To evaluate,   ddxh(x)xx=2

Q: Choose the appiopriate name for the following equations 4 x² +4 y° =1 Choose... 4 x2 = 1+4 yghoose..…

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Q: 5.Find f, L L*(x² + y² )dydxdz

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Q: Solve for ∂w/∂y and ∂w/∂x w=(1-2y)(x2-xy)

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Q: If y = f(x) is the solution of y' – 3y =-12.e 9z, f(0) =1, then

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Q: If x, y e R satisfy the equation x2+ y2 -4x-2y+5 0 and S (x + ry) then value of is 100

A: Given : x,y∈ℝ satisfies equation x2+y2-4x-2y+5=0 and S=∑r=099x+ry we want to calculate value of S100…

Q: 4. (a) S dx V1-9x2 (b) Sz dw 1+5w2 (c) ſ x Vx – 2dx

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Q: If z is directly proportional to the product of x and y and if z is 10 when x is 4 and y is 5, then…

A: To determine: The equation z=_____ Given information: If z is directly proportional to the product…

Q: . Then Var(X+Y+Z) is equal to:

A: Here x , y and z are independent variables  So covariance between them are zero

Q: If h(2) = 5 and h'(2) = -8, find d (h(x) dx x = 2.

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Q: f (x, y) = x+ 5y 2 +y = 25,

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Q: Use separation of variables to find a family of solutions to the following PDE и (т, t) — с'и (т,t)…

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Q: Find dy for the given values of x and ∆x. ; y = 2x3 + x2 - 4x; x = 2, ∆x = -0.2

A: Find dy for the given values of x and ∆x.

Q: 1 If y* = ex , then y' equals -2x 2y B +3 (c) none of the given choices 2x (D y3 - 2y E x3 A,

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Q: For two independent variables x and y S.D(X)=1 and S.D(Y)=3,then Var(3x-y) is equal to:

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Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

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Q: Find y, of+ 3+2y 14x2 + 42x + 6 d'y dx a.) y, = 7x2-4 b.) y, = 7x2 + x-5 c.) yp 7x2-x- 3 d.) y, =…

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Q: y"'-3y"+2y'=t+et

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Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

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Q: findthe solutionof the differenta eqration- dy 2X+y-) X 4X+2Y+5

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Q: Suppose that z varies jointly with x and y. Find the constant of proportionality k if z = 63.7 when…

A: suppose that z  varies jointly with x  and y z=kxy where k is the constant of proportionality  Given…

Q: f(z) dz = 4, then 2f(x) – z dz 13 If %3D =

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Q: If y = x²+2 then y' at æ = 1 Is equal to %3D Select one: a. 3 b. C. d. -3

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Q: 24. f(x, y) = In(x² + y)

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Q: If / f(x) dx = 4 and g(x). dx = -4, what is the value of %3D where D is the rectangle: -1 < x < 1,…

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Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: If y = ex, then y equals 2x (A - 2y В +3 C) none of the given choices - 2x D E

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Q: If h(2) 9 and h'(2) = -4, find %3D %3D d (h(x) dx x = 2

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Observe that y = x is a particular solution of the equation %3D 2x²y" + xy' – y = 0 and find the…

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Q: given: FLX)= x+| glx)= x²-x-2 %3D %3D

A: We have f(x) = x+1 and g(x) = x2-x-2 We can rewrite x2-x-2 as (x+1)(x-2)

Q: dw if Find = x* - xy+ y b) wax?-xy*; x-e* )3メーメ ; ×=t° X = e y=cost ?

A: I have given an answer in step 2.

Q: Solve the following problem, by using separation of variable y'(x) = xy;  y(1) = 1

A: y'x=xy⇒dydx=xy⇒dyy=x dx  Now integrating on both sides, we get ⇒∫dyy=∫x…

Q: rcosck) X)= 2メ+ hca) + ě Uf)→ at メ=3 @ fiw) = O (fuda (x)

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Q: S sec 2ydy

A: Topic:- integration

Q: d. {(x, y)| y = 3x – 8} {cx, y)ly = } x+3 е. %3D x-5

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Q: If x?y + 3y4 = xtan(y) + 2x d²y Find the value of dx²*

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Q: x, y) Edy is

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

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Q: Give the general solution of: dw/dx + (4w)/x = x3

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Q: If Ff(x) dx = 7.2 and f(x) dx = 3.7, find %3D %3D f(x) dx. 3

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Q: () fo lve the IVe X = (, :)x, xc)= x(0) =

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Q: If f(x) dx = 37 and g(x) dx = 18, find 6. %3D [3f(x) %3D 4g(x)] dx.

A: ∫09f(x)dx=37 , ∫09g(x)dx=18

Q: 8 If f(x) dx = 37 and g(x) dx = 12, find %3D [2f(x) + 4g(x)] dx.

A: Given ∫08f(x)dx=37 and ∫08g(x)dx=12We have to find ∫08(2f(x)+4g(x))dx

Q: 3) If y varies directly with x and y is -6 when x is 2, what is x when y is -22?

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: For what values of m does Y = emx satisfy Y" + Y' - 2Y= 0 ?

A: For what value of m does Y=emx satisfy Y''+Y'-2Y=0

Q: If x?y + 3y4 = xtan(y) + 2x d²y Find the value of dx2'

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Q: Find dy for the given values of x and Δx. y = 6x3 - 7x ; x = -3 and Δx = 0.3 .

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Q: Find y' given y = (x³ – x² + 3x + 10)S

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