V. Identify the value/s of x for which the corresponding function evaluation is true. Show complete solutions. Verify your answers. 5. f(x) = x² + 3x; ƒ(2x − 3) = 4x² + 18x + 18

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A: width of box=6.5  feet

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Q: Evaluate the integral. √ 15x² dx (x + 1)(x² + 1)

A: To evaluate the following integral.∫15x2 dxx+1x2+1

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A: dV/dt= 10ft^3/mins  h= 15ft d=3h

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A: Given query is to find the derivative of the function.

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Q: Evaluate the integral. S 15x² dx 2 (x + 1)(x² + 1) II

A:

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Q: 9. f(0) = (0 cos 0) sin 0

A:

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A: derivative gives slope

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A: Please see the below pictures for detailed solution.

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Q: a₁ = 3, r=-4, a =

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A: solution  d2Edk2=h2ma2{1-3a2k2π2}

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Q: Is this set of ordered pairs, a function or not a function? {(5, -1), (3, -5), (2, -5), (0, -2),…

A: Given the set of ordered pairs is (5, -1), (3, -5), (2, -5), (0, -2), (-1, -3).

Q: a,= 3 4 1 r=-1 2 · 91 = ?

A: Let's find nth term fomulas.

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Q: Find the indefinite integral. (Use C for the constant of integration.) [(8) (8 cos(x) + 7 sin(x)) dx

A: We can solve it by finding the indefinite integral in the below steps.

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A: The graph shows the temperature T, in degrees Fahrenheit, of molten glass t seconds after it is…

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Q: Find the linearization L(x) of the function at a. f(x) = sin(x),    a = pi/3

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Q: Use the definition to find the derivative f'(a) for x+2 √x f(x) = and a = 3

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Q: d/dx log(9)(xe^x)

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Q: Please show your complete solution and write readable thanks. 1.) Determine the nth term of the…

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Q: dy Determine of the following. Do NOT simplify your answers dx 1. y = cos (ln(3+sinx)+tanh)

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Q: x-sec²(z) tan(z)

A: By parts : Integration(fg)= g*integration(f)-integration((dg/dx)*integration(f)) Spence's function,…

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 1. Find the maximum value of the function z = 2x + 8y subject to the following constraints. 5x+6y ≤…

A: NOTE: Refresh your page if you can't see any equations. . subject to