Anti-Derivatives
∫x2(x2 + 1/x3 - 2) dx
x5/5 + ln|x| - 2x3/3 + C
Determine the equation of the line that contains the two points (−1,5) and (0,-2).
y=-7x-2
You’re born with 270 bones. How many bones do you have now?
206 bones
Expand:
log6((x4y8)/(z7w5))
4 log6(x) + 8 log6(y) - 7 log6(z) - 5 log6(w)
Find the interval in which the function f(x) is increasing or decreasing.
f(x) = 5x2 - 2x + 3
Inc: (1/5, ∞ )
Dec: (-∞ , 1/5)
Find the C of F(x) using the point (1,6)
f'(x)=∫3 dx
F(x) = 3x + 3
Find the instantaneous rate of change
3x2+4x-7
6x+3h+4
What Pope possibly led to a rise in rats and helped spread the Black Death?
Pope Gregory IX
(Cats were exterminated)
Condense:
5 log6(x+y) + 1/2 log6(y) - 7 log6(z) - 5 log6(w-4):
log6((sqrt(y)*(x+y)5)/(z7(w-4)5))
What are the steps of SDT?
:)
Use U-Sub
∫x2(3-10x3)4 dx
- ((3-10x3)5/150) + C
Determine if the function is continuous at x=1
x2 + 7x ― 2, x<1
f(x){
-3x+5, x≥1
The function is NOT continuous at x=1
What is the world's largest desert?
Antarctic Desert
Transform this Semi-Log....
y=7(4t)
log4y = log47 + t
What does SDT find? What does FDT find?
:)
Use IBP
∫xe-2x dx
(xe-2x/-2) - (e-2x/4) + C
Find the Derivative of:
f(x)= (3x-4)(5x-2x)
f'(x)= 18x-12
In the Ancient Olympics, athletes competed naked.
It symbolized purity and closeness to the gods. What Olympic sport comes from the Greek work gumnós (naked)?
Gymnastics
Find the Derivative of:
h(x)= ln(x+4)3 + ln(x)
h'(x)= (3/(x+4)) + (1/x)
Find the Domain and RD of the function:
(x+4)/(x2+3x-4)
D: (-∞,-4) U (-4,1) U (1,∞)
RD: x=-4
Solve for the Area of:
∫24 2x+3 dx
18 Square Units
Find the Derivative of:
h(t) = sqrt(3t+5) + 10x34
h'(t) = (3)(1/2(3x+5)-1/2
What country has a unicorn as it's national animal?
Scotland
Find the Derivative of:
f(y)= log5(xy)2
f'(y) = (2/(y*ln(3)))
Find the V.A. and H.A. of the function:
(x+4)/(x2+3x-4)
V.A.: x=1
H.A.: y=0