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: Get the derivative of all the functions. 1. ?(?) = 9?^5 + 2?^4 + 3?^3 + 7?^2 + 1 2. ?(?) = 5?^2−2…

A: To  find the derivative with respect to x

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

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

A:

Q: solve the following equation for X. 3*e^2x+7*e^x+2=0

A: Given,

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

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Q: 1 4 √x 5 18 dx =

A:

Q: h(x)=5x^2 -2x^3 +1 what is h'(2)? a.-5 b.-8. c.-4 d.-8

A: The given function is

Q: Find The Valle f X 十 キ

A:

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

A:

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: 1/(x−7)&gt;5

A: Given inequality is,

Q: Consider the interval [-2, -1].  According to the Intermediate Value Thereom, which of the following…

A: Intermediate Value Theorem:- If a function f(x) is continuous on the interval (a,b) and have value…

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: 3 + 2x g(x) %3D 5 - 8x

A:

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: х? + 2х + 9y? — 18у + 11 3D 0 Is the equation of: Select one: О а. Нурerbola O b. Ellipse O c.…

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

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: For a function f: A --> B and subsets C and D of A and E and F of B, prove the following: f(C) -…

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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 the function f(t)=125000e^-0.103t gives the population of a city t years since 1970.…

A: Given that, Function of population of a city since 1970 is, f(t) = 125000e-1.103t where t is in…

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: If x' x= [(-₁)] and x(0) = [] x what is X(T)?

A: Given: x'=01-10x and x(0)=01. To find: x(π)

Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

A: Topic- roots of polynomial

Q: 1 Evaluate 1 e ,2

A:

Q: In a dice game, you win if the two dice come up 11. Otherwise, you lose $5. What should be the…

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Q: Find f'(x) and simplify. f(x) = 5x5 Inx Which of the following shows the correct application of the…

A: Given: fx=5x5 lnxTo find: The derivative of fx using the product rule.

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

A:

Q: Solve. 1. Find the equation of the family of curves whose slope at any point (x, y) is 3x. 2.…

A: