Series-Test Premises
Its only premise is that the limit as n goes to infinity is zero
What is the nth term test or the test for divergence
The three girls that hate Sine
Who are Cosine, Cosecant, and Cotangent?
int_a^bf(x)dx
What is the area under a curve in Cartesian coordinates?
The capital of Washington
What is Olympia?
The full name of Spongebob's Best Friend
Who is Patrick Star?
It involves only the value of the common ratio.
What is the Geometric Series Test?
They are the two girls that got Cosine so mad that she broke off her friendship with Sine.
Who are Tangent and Secant?
1/2int_a^br^2d theta
What is the area enclosed by a polar curve?
The capital of Massachusetts
Boston
Spongebob's place of employment
What is the Krusty Krab?
The series must have one in the numerator and n being raised to a numerical power in the denominator
What is the p-series test?
It's the "Best Friends Forever" identity
What is
sin^2theta+cos^2theta=1
int_a^bsqrt((dx/dt)^2+(dy/dt)^2)dx
What is the length of a parametric curve?
The capital of Nevada
What is Carson City?
Spongebob's pet's name
What is Gary?
The series must be: alternating, decreasing, and approaching zero as n goes to infinity
What is the Alternating Series Test?
It's what Cosine did to the BFF identity when someone gave her two cookies.
What is
cos^2theta-sin^2theta=1
int_a^bsqrt((dy/dx)^2+1)dx
What is the length of a regular function?
The capital of Utah
What is Salt Lake City?
Spongebob's favorite sport
What is karate?
The series has to be continuous, positive, and decreasing
What is the Integral Test?
It's the reason why it never made sense that Cosine tried to get revenge on Sine (why the joke was on her at the end...)
What is Cosine was born even?
int_a^bsqrt(((dr)/(d theta))^2+r^2) d theta
What is arc length in polar coordinates?
What is Cheyenne?
Spongebob's favorite superhero duo
Who are Mermaid Man and Barnacle Boy?