Algebra!
This property states that a(b+c)=ab+ac
What is the distributive property?
A function has a derivative everywhere and f′(x)>0 for all x. Can the function ever decrease?
What is no?
If the integral from a to b equals 0, must f(x)=0 for all x in [a,b]?
What is no?
A derivative taken with respect to one variable while holding others constant is called this.
What is a partial derivative?
Give an example of an odd function.
A student buys 3 notebooks and 2 pens for $11. Each notebook costs $2 more than each pen. What is the price of one pen?
What is $1?
The derivative of -cos(x).
What is sin(x)?
What is the integral of xdx
What is x2/2 +C?
True or false: If a vector field has zero divergence everywhere, then the vector field must be zero.
What is false?
Dr. Pfiel's classic lecture suited for this time of year.
What is the probability of finding your soulmate?
Solve for x: x2+9=0.
What are x=3i and x=-3i
limx->0sin(x)/x
What is 1?
This method evaluates integrals of products of functions.
What is integration by parts?
This coordinate system is often used to simplify circular symmetry problems in multiple integrals.
What are polar coordinates?
What is Euler-Lagrange Equation?
If log10(x)=3, this is the value of x.
What is x=1000?
The derivative of ln(x2+1)
What is 2x/(x2+1)?
A geometric series converges only if this condition on r is satisfied.
What is |r|>1?
The divergence of a vector field physically represents this idea in fluid or field flow.
What is net outward flux per unit volume ?
This professor is Isabel's favorite math professor.
Who is Dr. Siefker?
A rectangle has a perimeter of 50 meters and an area of 144 square meters. What are the dimensions of the rectangle?
What are 18 meters and 8 meters?
A particle moves with position x(t)=t3−6t2+9t. At what time is the particle momentarily at rest?
What are t=1 and t=3
The integral of x3sin(x)dx.
What is -x3cos(x)+3x2sin(x)+6xcos(x)-6sin(x)+C?
A function has all second partial derivatives equal to zero everywhere. What must the function look like?
What is a linear function (a plane in 3D)?
Is there a function that is continuous everywhere, differentiable nowhere, and bounded?
yes. (Weirstrass Function)