Calculus Essentials
This term is added to your answer when solving an indefinite integral.
What is +C?
This mathematician is known for developing the laws of motion and gravitation, which undoubtedly led to his work in calculus.
Who is Sir Issac Newton?
Define an improper integral.
What is a definite integral that has either or both limits infinite or an integrand that approaches infinity at one or more points in the range of integration?
The limit of (x2-4) / (x2+4) as x approaches 2.
What is 0/8, or 0?
Derivative of secant.
What is sec(x)*tan(x)?
This calculator mode must be used when in Calculus.
What is radian mode?
This mathematician came up with the notation of (dy/dx)
Who is Gottfried Leibniz?
The formula for integration by parts.
What is uv - ∫ v du?
Find the derivative of x2-3x+8
What is 2x+3?
This is the formula for the area between two curves.
What is a∫b [f1(x)-f2(x)]dx?
How do you find an integral on your calculator?
What is math 9?
When solving for a limit and you have 0/0 or ∞/∞ you use this person's rule.
What is L'hopital's Rule?
You would use this technique to integrate 2/(x^2-9)
What is Partial Fraction Decomposition?
Find the anti derivative of 2x5+4x2
What is ((x6+4x3) / (3)) + C
Name four types of discontinuity.
What is Jump, Infinite, Oscillating, and Removable?
These are the steps to solve the Quotient rule.
What is the bottom times the derivative of the top minus the top times the derivative of the bottom over the bottom squared?
(low low low d'high minus high d'low over over over over the square of whats below)
This mathematician laid the groundwork for finding the area under the curve using approximations.
Who is Bernhard Riemann?
What is the name of the technique used that the Catherine used in Hidden Figures to get the spaceship back to earth? (Hint: Repeated use of linear approximation on small intervals.)
Euler's Method
If f(x) is increasing, is Left Riemann's Sum and over or under estimate?
What is an under-estimate.
If y=6x-8 and (dx/dt) =3
Find (dy/dt)
What is 18?
This theorem is used to find the derivative of an integral?
What is the Fundamental Theorem of Calculus?
This mathematician came up with a numerical method to solve first order first degree differential equation with a given initial value.
Who is Leonhard Euler?
In the equation (dr)/dt=8/25r (1-r/(300)) , what is the carrying capacity?
What is 300?
Find the acceleration of the position equation of S=-16t2 in feet and t in seconds.
What is -32 feet per second2
Find the polar coordinates, given the rectangular coordinate. (1, 31/2)
What is (2, -π /3)