party in perrys

algebra and limits

100

lim  x²+3x-4

x->0 

-4

200

lim  x³+3x²-8x-4

x->4

76

300

lim (x^2-9x+18)/(x-3)

x->3

-3

400

lim (e^x-1)/(x²+x)

x->0

=1

500

lim (4x²)/sin²(5x)

x->0

= 4/25

derivatives and applications of derivatives

100

what rule would you use to solve this equation?

find y' of y=2x(4x-5)

product rule

200

find y' of y=x⁶-3x⁴+x²+4x-114

y'=6x⁵-12³+2x+4

300

find the line tangent to y=(x²+3)² at point (3,5)

y-5 = (4x³+12x) (x-5)

400

find y'

y = 4e^x(1 + ln x)(sin x)

= 4e^x((sin x /x)+(1 + ln x)(cos x + sin x))

500

find y'' at (3,5)

x²+y²=25

-25/27

integrals and accumulation

100

∫₁₃¹³ (4x⁹-5x)dx =    

0

200

∫₀⁴ f(x)dx = 5     ∫₉⁴ f(x)dx = 14

find ∫₀⁹ f(x)dx

-9

300

∫ (x³+2x²-5x)dx = 

=1/4x⁴+2/3x³-5/2x²+C

400

∫ sec(x) dx

= ln |csc(x)-cot(x)|+C 

500

∫₀¹ (x+2)/(x²+4x)^1/2 dx =

= sqrt(5)

area and volumes of rotated figures

100

y=x3, y=0, x=2. Revolve around the x-axis. Setup, but do not evaluate.

∫₀² πx6dx

200

y=-x+2, x=0, y=0. Revolve around the x-axis.

8/3π

300

y= -(1/2)x+2, x=0, y=0. Revolve around the y-axis

(32/3)π

400

𝑦=√sinx, y=0, x=0, x=π. Revolve around the 𝑥-axis. Setup, but do not evaluate. You might need a calculator to help you see the graph.

∫₀^π πsinx dx

500

y=√9-x2, 𝑦=0, 𝑥≥0. Revolve around the 𝑦-axis. Setup, but do not evaluate

∫₀³ π(9-y2)dy

final jeopardy

500

What is Ms. Perry's favorite book?

All Harry Potter books