Famous People
This co-inventor of Calculus is also a famous physicist. An apple supposedly fell on his head.
Who is Sir Isaac Newton?
ACCLLSUU
What is CALCULUS?
This group of functions has derivative 3x^2
What is
x^3+c?
The derivative of f(x) is defined with this limit.
What is
\lim_{h \rightarrow 0} \frac{f(x+h)-f(x)}{h}
This is the volume of a cube with side length s
What is
s^3?
connected by common ancestry or sometimes by marriage
What is related? (Calculus use: related rates)
A degree n polynomial has at most this many critical points.
What is n-1?
The derivative is ______ of the tangent line.
What is the slope?
Who is Robert Oppenheimer?
ADEEIIRTVV
What is DERIVATIVE
This group of functions has derivative
\sin(x)
What is
-\cos(x) + c?
When a function f(x) is continuous, then
\lim_{x \rightarrow a} f(x)
is equal to this value.
What is
f(a)?
This is the volume of a sphere with radius r
What is
4/3 \pi r^3?
to consider worthy of high regard
What is respect? (Calculus use: take the derivative of f(x) with respect to x.)
A degree n polynomial has at most this many inflection points.
What is n-2?
This is the derivative of a position function (of an object moving on a straight line).
What is instantaneous velocity?
This Greek philosopher shouted "Eureka" when he solved a problem involving volume and density. This problem would later be re-solved using Calculus.
Who is Archimedes?
ACEHILNRU
What is CHAIN RULE?
This group of functions has derivative 15(3x+2)^4
What is
(3x+2)^5+c?
The following limit is
\lim_{x \rightarrow 0} \frac{sin(2x)}{3x}
equal to this value.
What is
2/3?
This is the equation for a circle with radius r centered at the origin.
What is
x^2+y^2=r^2?
lacking originality
What is derivative?
A degree n polynomial has at most this many points of discontinuity.
What is 0?
These are the units of the derivative a position function.
What is meters/second (or any length measure over any time measure)?
This scientist invented a temperature scale with no negative values. He also made important contributions to Calculus.
Who is Kelvin?
EEMMRTUX
What is EXTREMUM?
This group of functions has derivative \frac{x}{\sqrt{x^2+1}}
What is
\sqrt{x^2+1}+c?
The following limit
\lim_{x \rightarrow 2} \frac{x^2-5x+6}{x^2-4}
is equal to this value.
What is
-1/4?
This is the volume of a cone with a circular base of radius r and a height of h
What is
\frac{\pi}{3} r^2 h?
uninterrupted duration without essential change
What is continuity?
A degree n polynomial has at most this many relative maxima?
What is
\ceil \frac{n-1}{2} ?
The derivative evaluated at a relative maximum is one of these two values.
What is 0 or DNE?
This famous (?) mathematician is the first author of our Calculus book.
Who is Howard Anton?
CINNOOSTUU
What is CONTINUOUS?
This group of functions has derivative
3(x^2+5)\cos(3x) + 2x \sin(3x)
What is
(x^2+5)\sin(3x) + c?
This one sided limit does not exist. (There are others, but we only studied one in class.)
What is
\lim_{x \rightarrow 0^+} \sin(\frac{1}{x})?
An observer measures an angle of elevation of \theta to a plane flying at altitude h . The plane is this far from the observer.
What is
h /\sin(\theta)?
exercising or involving careful judgment or judicious evaluation
What is critical?
This basic trigonometric function has zero stationary points.
What is tangent (or cotangent)?
This is the derivative of instantaneous velocity.
What is acceleration?