Solve the following IVP: X' = AX + f(t), where 4- (; 7) 5 -3 1 1 and () 4 X(0) 2 f(t) = -3et e3t

Q: Find the value of “a” if (x1/3)(x3/4) = xa

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Q: b) y = (3x-1)e-x²

A: The equation you've provided is a mathematical expression in terms of a variable x, given by:…

Q: evaluate 32x − 1 at x = 0. f(0) =

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Q: h(x): = 2x and g(x) = x", find h(g(x)). Dô hót simipiny. O h(g(x)) = 2xa² O h(g(x)) = h(2x²) O…

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Q: f(x) =-2x - 4 if xs2 | 4x -9 if x> 2 f(-4) = f(8) = f(2) =

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Q: Find f. 36x2, f(1) 15 f "(x) = 10 + 6x + f(0) 4, f(x)

A: Given,

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A: Given that  m(x) = x/(-5) To find  m(20)

Q: -4 3 2 -1 -4 -3 -2 -1 1 2 4 -1 -2 -3 --4 3.

A: To find f(2) using the given graph.

Q: Find the value of ( x + y ) / (x - y ) if x = 6 and y = - 2.

A: The expression: x+yx-y

Q: f (x) = x2 - 7x + 10/x - 5, x = 5

A: We have the given function as fx=x2-7x+10x-5 On solving further by factorising the numerator part,…

Q: Give the domain for t(x)= x+1/x2-3x-18

A: Given function is,

Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: d²y + 4 + 4y %3D 0, у(0) %3D 3, dy (0) = 1 dx %3D dx² dx

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Q: If f(x) = x + Vx + 5, find all values of x for which f(x) = 7.

A: Given, fx=x+x+5 and f(x)=7

Q: find X far 1o93(X=6x) = 3 STOBLRRY

A: Given: log3x2-6x=3

Q: ID 2 = {(Xy) 2x=7

A:

Q: Find f. f"(x) = 6 + 6x + 36x², f(0) = 3, f(1) = 14

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Q: x) = (1/3)x - 6

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Q: Find the value of x

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Q: If y = f(x) is the solution of y" – 9y" +26y' – 24y = 0, f(0) = 4, f'(0) = 15, f" (0) = 44, then

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Q: F(2)=?

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Q: Calculate the value of n if f(x) = (8 - x)*/3 and 16" = f(16).

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Q: Differentiate with respect to x,             y = (2x + 1)(3x + 2)

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Q: Find y (x +5x)*(x + sec x)5

A: Differentation by two products

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A: We have draw the graph of y2=f(x)The procedure is given below

Q: 4 Simplify to approximate the sum of the area using right end points. j=1

A: Answer is here

Q: Find the value of x. 60⁰ 45° 15 30⁰

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Q: f(x) = 5x2 + 1 when x = 2.9999

A: fx=5x2+1

Q: [f^(x) = 1/² + If and f-¹ (5) = 6, find k.

A: