A multiple-choice quiz
by Diamondlance.
Estimated time: 4 mins.

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Quiz Answer Key and Fun Facts

Answer:
**21x^2 - 4x + 4**

The derivative of a polynomial equation can be found by multiplying the exponent of the variable by the coefficient of each term, then by reducing the exponent of the variable by one.

The derivative of a polynomial equation can be found by multiplying the exponent of the variable by the coefficient of each term, then by reducing the exponent of the variable by one.

Answer:
**no **

The correct answer is x^3 - 2x^2 + x + C. Here, C equals the "constant of integration", because, since integration is the same as antidifferentiation, without more information, it is impossible to know what, if any, constant the antiderivative had in its equation.

The correct answer is x^3 - 2x^2 + x + C. Here, C equals the "constant of integration", because, since integration is the same as antidifferentiation, without more information, it is impossible to know what, if any, constant the antiderivative had in its equation.

Answer:
**0**

Since there is no x-dependence in the equation, y is equal to a constant. Therefore, the derivative equals zero.

Since there is no x-dependence in the equation, y is equal to a constant. Therefore, the derivative equals zero.

Answer:
**1 + ln x**

The rule for the derivative of a product is the first term times the derivative of the second term, plus the second term times the derivative of the first term.

The rule for the derivative of a product is the first term times the derivative of the second term, plus the second term times the derivative of the first term.

Answer:
**42**

The position function can be found by integrating the velocity funcion, which is 4t^2 + 2t + C. I said that the position at time 0 is 0, so 4(0) + 2(0) + C=0, which makes C = 0. Therefore, when t = 3, the position equals 4(9) + 2(3) = 36 + 6 = 42.

The position function can be found by integrating the velocity funcion, which is 4t^2 + 2t + C. I said that the position at time 0 is 0, so 4(0) + 2(0) + C=0, which makes C = 0. Therefore, when t = 3, the position equals 4(9) + 2(3) = 36 + 6 = 42.

Answer:
**122.5 meters**

a(t) = -9.8 since acceleration due to gravity is -9.8 meters/second^2. The velocity function is found by integrating the acceleration function. v(t) = -9.8t + C. Since the velocity at time 0 is 0, C = 0. Integrating this gives the position function, x(t) = -4.9t^2 + C. When t = 5, the position is zero. So, -4.9(25) + C = 0 and C = 122.5, which is the original height of the object.

a(t) = -9.8 since acceleration due to gravity is -9.8 meters/second^2. The velocity function is found by integrating the acceleration function. v(t) = -9.8t + C. Since the velocity at time 0 is 0, C = 0. Integrating this gives the position function, x(t) = -4.9t^2 + C. When t = 5, the position is zero. So, -4.9(25) + C = 0 and C = 122.5, which is the original height of the object.

Answer:
**1**

L'hôpital's rule can be used to solve this one. If the limit evaluates to 0/0 (or infinity over infinity), then the limit equals the limit of the derivatives of each side of the fraction.

L'hôpital's rule can be used to solve this one. If the limit evaluates to 0/0 (or infinity over infinity), then the limit equals the limit of the derivatives of each side of the fraction.

Answer:
**8/3**

This can be found by integrating the equation y = x^2 from 0 to 2. 8/3 - 0/3 = 8/3.

This can be found by integrating the equation y = x^2 from 0 to 2. 8/3 - 0/3 = 8/3.

Answer:
**no **

The derivative is e^x, and the integral is e^x + C.

The derivative is e^x, and the integral is e^x + C.

Answer:
**1**

It has one at x = 2/3, where the second derivative equals zero. The point is indeed an inflection point because the second derivative, 6x - 4, changes signs at x = 2/3 and thus the graph changes concavity.

It has one at x = 2/3, where the second derivative equals zero. The point is indeed an inflection point because the second derivative, 6x - 4, changes signs at x = 2/3 and thus the graph changes concavity.

This quiz was reviewed by FunTrivia editor CellarDoor before going online.

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