Derivatives-Anthony
Integrals-Ashley
Volumes-Brennin
Motion-Jake
Limits-Kate
100

x^3 - 3x2y + 2xy^2 = 12 taking the derivative of this function would be an example of

What is implicit differentiation?

100

The best way to solve the indefinite integral 

What is u-substitution?

100

This statement represents the area of the square cross-section when the length between the x-axis and the function is 4.

What is 16?

100

If v(t) = t^2 -8t + 16 the velocity at t = 4 seconds is


What is 0?

100

This problem requires the use of 

What is l'hopital's rule?

200

 The derivative of f(x) = 3sinx - 2cosx

What is 3cosx + 2sinx?

200

The solution to the integral

What is arcsin(x)+c?

200

When a graph’s y-intercept is 4, and the rotating area is bound by the function, the y-axis, and the x-axis, this number refers to “a” in the Disc-method equation when an area is rotated around the y-axis.

What is “0”?

200

s(t) = t^4 - 2t^3 + 3t^2 the direction of the particle moving at t = 1 is


What is right?

200

The main types of discontinuities include jump, removable, oscillating, and ...

What is an infinite discontinuity?

300

Lim -> 0 = ln(2^x)/6x^3+2x is an example of

What is l'hopitals rule?

300

This formula is related to the topic...

What is average value?

300

When looking at the table, a Left Riemann sum with 4 equal steps would not consider the following x- value.

x | 1 | 2 | 3 | 4 | 5 |

y | 2 | 4 | 5 | 4 | 2 |


What is the x-value of 5?

300

s(t) = 4t^3 - 7t^2 + 10 the acceleration at 3 seconds is

What is 22?

300

The limit as x approaches 0 of (sin x)/x 

What is 1?

400

For this graph of f(x), its derivative f'(x) hits zero at

What is -1 and 1?

400

This crucial part of Calculus is applied to solve the derivative of an integral.

What is the Fundamental Theorem of Calculus?

400

This formula of the Disc-Method is used when an area is rotated around the x-axis to form a solid.

What is “𝝿∫ab R2 dx”?

400

s(t) = 2 t^3 - 2 t^2 + 4 the total displacement over the first 4 seconds is

What is 96?

400

The limit as x approaches infinity of (3x4-27x2+378x-1098)/(2x3+14x2-15x4)

What is -1/5?

500

The second derivative of f(x)=4sin(2x)

What is f′′ =−16sin(2x)?

500
This mathematician wrote the integral sign in an unpublished manuscript in 1675.

What is Gottfried Leibniz?

500

This is the formula for the Washer-Method when finding the volume of a solid rotated around the x-axis.

What is “𝝿∫ab R2- r2 dx”?

500

If a(t) = 12t - 4 with an initial velocity of -10 and initial position of 0 the position formula is

What is s(t) = 2t^3 - 2t^2 -10t?

500

The condition necessary for IVT to apply

What is F(x) is a continuous function defined over the closed interval [a, b]?

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