Match each solution (in red) with its initial value problem. = [3] = [ J* <-[1]* - [ J* -[₁] ? 1. x = ? 2. X'= 23. X'= ? 4. X = X, X(0) = X, x(0) = X, X(0) = - A =[ [3] X,

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

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Q: 12e* y' - 2y'+ y = 3

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Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

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Q: 1. h(x) = 5f(x) – 4g(x) Answer. h'(-2) =

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: y=3x+4 / 2x+1 y`(0)=?

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Q: Prove that for integers y=1 the equation 3h-n (2x₁ + x₂ + 4x₂) +3² (~1(2x₁+x₂+.+xn-1)+...+3^-1 (2²₁)…

A: We will use contradiction to prove it.

Q: 4y'''+12y''+13y'+10y=0

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Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: 3. y' = 3x? –2; y(1) = 5

A: When the linear differential equation is in the form, dydx+py=Q    ..........1 Then the solution of…

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: Find all possible functions with the given derivative. y' = 2x² - 6x 2 O A. 3x³ + C 2 O B. 3x³-3x² +…

A: Given,             y' = 2x2 - 6x

Q: Use the values in the table below to answer each of the following: f(x) g(x) f'(x) g'(x) 5 1 -1 -3…

A: Table

Q: 1 If f(x,y,z)= of then x-y-3-

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Q: y^(5)−4y^(4)+4y^(3)=0 Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants. y(t)=

A: y^(5)−4y^(4)+4y^(3)=0Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants.y(t)=

Q: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

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Q: Differentiate y = In(x³ + e*) .2 3x+eX А. x3+e-X 3x2-ex В. x3 +e-X 3x2-e-x C. x3-e-X 3x2-e-x D.…

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Q: Differentiate. f(x) = 7+ 3e5x f(x) = 7+15e5x O f (x) = 7+ 5e3x f (x) = 0+15e5x

A: Differentiate the above function.

Q: Suppose g(x) = 3 + x/2x − 3. Evaluate g^−1(−1).

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Q: Solve X'

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Q: Find y''' for y = 1/(x+4)3

A: To find the first derivative, y' of y, differentiate (x+4)-3 with respect to x, using the general…

Q: If f(x) = (2-3x)^(-1/2)  , find f(0), f' (0), f" (0) and f''' (0).

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

Q: x 3y'''- x 2y'' + 2xy' - 2y = x3

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Q: Suppose f'(x) = 8x³ + 12x + 2 and ƒ(1) = −4. Then f(−1) equals . (Enter a number for your answer.)

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Q: (x*. In x dx = ?

A: Solution

Q: solve. y'−( 1/x) y = x^3, where x>0

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Q: solve for x if CDy=4(x-E)

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Q: If f(x) = 6 + 6x − 4x², find ƒ'(-3). - -48 X

A: