Use the method of variation of parameters to solve the initial value problem x'=Ax+ f(t), x(a)=x₂ using the following values. 1 ---XX] x(0) = At A= 6 -7 1-2 ,f(t) = 60 90 -e-¹ +7e5t 7e-t-7e5t 5t -et+est 7e-t-e5t

Q: a = < x, y, 1 >b = < 1, -1, 3 >|a| = (14)^(1/2)/2a•b = 5Find all possible values of x…

A: As we know dot product and given information

Q: 7x + 3 Given f(x) then f-1(x) will be 8

A: f(x)=7x+38 , we have to find f-1(x)

Q: f(x)= 3x2 -2, find f '(-2) O -12 none of these answers O 12 6x

A: Consider the function  f(x)=3x2−2

Q: If f(x)-3x+3x and f'(0)-3( by using 2-points formula with h=0.5), then the value of a is Select one:…

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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: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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Q: Question 2 $-3ar* +2pr² h(r) 4r

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Q: 7x +3 Given f(x) then f-1(x) will be %3D 8 8х — 7 А. 7x-8 3 8х - 3 D. 8x + 7 3. 7 elect one: OB O A…

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Q: Find f'(x) and simplify. X + 8 f(x) = Зх — 4 (x² + 8) O A. (3) - (3х - 4)(2x) [3х - 4)2 (3x – 4)(2x)…

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Q: r 4-5x 3. f(x)=- ; f'(-1)

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Q: 1)y = (8 +7x³)

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

Q: Given f (x) find f^−1 (x) for each of the following:  f (x) = 2x−3/7+x

A: Given function is:

Q: Find the linear approximation of f(x)=√x when x = 81. 1 108 O L(x)=3+ -(x-81) OL(x)=81+ 1 108…

A: We have given function  fx=x4 Put x=81 f81=814=344=3 Linear approximation at x=a is given as…

Q: _____18) Find y' if y= 6+x √4-x²

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Q: Find fif f'(x) = 8x³ + 16x + 6 and ƒ(1) = −3. Answer: f(x) =

A: f'(x)=8x3+16x+6f(1)=-3∫xndx=xn+1n+1+c

Q: f (x) = 3r³ – 9x² 1 + x +3 j(x) = x + 7x + 9 Determine p'(x) given p(x) = f(x)j(x). Please don't…

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Q: Find f (x) and simplify. x +5 f(x) = Зx-2 Which of the following shows the correct application of…

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Q: Find the value of the constants a and b given that F'(x)= 2ax + b, F(3)= 47, F(-2)= -3, and F(1)=3.

A: We have given F'x=2ax+b Then, integral on bothe sides we get ∫F'xdx=∫2ax+bdx Fx=ax2+bx+c where c is…

Q: 3x-5 12x+41 7. The derivative of g(x) = 8. The derivative of y = V5x² – 6 is y' = is g'(x) = (4x+7)2…

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Q: 1. Find the second derivative of f(x) = x5 – 4x + 1. а. 5x3—4 ь. 20х3 с. -20х3— 4

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Q: If f(x) = V5x – 3, find f-1(x). 3 3 f-(x) = 5x- x3 C. A. f-1(x) 3 x3 f-'(x) = 5 5 D. C. f-1(x) = 53…

A: To find the inverse of the given function f(x).

Q: 17. Solve the equation x-3x' + 3x +x-6 0

A: We have to find the solution

Q: Find the Derivative

A: The derivative of a function with respect to a variable is equal to the instantaneous rate of change…

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

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Q: If f(x) = V5x – 3, find f-1(x). | 3 x3 + 3 А. f-(x) C. f-1(x) : ==X- 5° 3 3 x3 f-(x) =- f-'(x) = 5…

A: Given, f(x)=5x-33 To find the inverse function, f-1(x) Take f(x)=y . The idea is to solve the above…

Q: Consider the function f(t) = 4 sec²(t) — 8t². Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: 7 f(x) = 2x' + х— 2 + f'(x) = 2.

A: