Polar
Taylor/Maclaurin Series
Integral Techniques
L'Hopitals/Improper Integrals
Parametics/Vectors
100
What is the equation for the x-coordinate in polar form?
x=r cos⁡θ
100
For what values of "p" does a p-series converge?
|p|>1
100
Solve the integral ∫xe^(x^2 ) dx
1/2 e^(x^2 )+C
100
Find the limit: lim┬(n→∞)⁡〖100/x〗
0
100
Find the acceleration vector given the position <8x^3, x^9>
a(t)=<24x^2, 9x^8>
200
What is the formula for the area between two curves?
1/2 ∫〖top-bottom〗
200
For what values of "r" does a geometric series converge?
|r|<1
200
Solve the integral ∫〖(x-2)/(x^2+6x+5) dx〗
(3/2)ln|x+5|-(3/4)ln|x+1|+C
200
Find the limit: lim┬(n→∞)⁡〖(x^4+8x^3+2x^2)/(x^4+2x^2 )〗
1
200
Formula for magnitude of velocity.
|v|=√(〖(x'(t))^2+〖(y' (t))^2 )
300
How many loop are there in the equation f(x)=2cos⁡(2θ)?
4
300
Write the first 4 nonzero terms of e^(2x).
1+2x+(2x)^2/2!+(2x)^3/3!
300
Solve the integral ∫〖cos^3 (x)〖sin^2 (x)〗 dx
(sin⁡(3x))/3+(sin⁡(5x))/5+C
300
Find the limit: lim┬(B→∞)⁡∫_1^B▒〖(ln⁡(x))/x dx〗
∞
300
Formula for total distance traveled.
L= ∫a^b▒√((〖dy/dt)〗^2+(〖dx/dt)〗^2 ) dt
400
Draw the graph for the equation f(θ)=1+3cos⁡(3θ)
See instructor
400
Write the first 4 nonzero terms of ln⁡(x^3) centered at 1.
x^3+(x^3)^2/2!+(x^3)^3/3!+(x^3)^4/4!
400
Solve the integral ∫〖e^3x cos⁡(x)〗 dx
9/10((e^3x cos⁡(x))/3+(e^3xsin⁡(x))/9)
400
Find the total area created by the integral ∫_(-2)^2▒〖3/x^2 dx〗
3
400
Find (dy/dx) given y(t) = t^3 + t^2 + 1 and x(t) = 2t
(3x^2)/8+x/2+1/2
500
Find the area of one loop of f(x)=2cos⁡(2θ)?
.38646
500
Write the first 4 nonzero terms of sin(x)cos(x).
x-〖4x^3/3!+〖6x^5/5!-〖8x^7/4!
500
Solve the integral ∫(4+x)/(9+4x^2 ) dx
Unsolvable by hand
500
Find the limit: lim┬(B→∞)⁡∫_(-B)^B▒〖(6w^3)/〖(w^4+1)〗^2 dw〗
0
500
Find (dx)/(dt) given: dy/dx= 1/t^2 (d^2 y)/(dx^2 )=10ln(t)
1/(t^2 10ln⁡(t))
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