int_3^5(x^2-3x)dx
8.67
int_-1^-1 6x^2 dx
0
Using 4 equal intervals, estimate the area under the curve below over [0, 2] using a right hand Riemann Sums.
y=x^3-3x^2+2x+3
6 units squared
This type of point is found when the second derivative changes from a negative to a positive.
Inflection point
What room number is this?
141
int(4x-root3(x^2))dx
2x^2-3/5xroot3(x^2)+C
"If" int_3^7f(x)dx=12 " find" int_7^3f(x)dx
-12
WILD CARD! What are the ages of Mrs. Yinger's sons?
6 and 8!
When the slope of a curve is positive to the left of a point, and negative to the right of a point, we know it's this specific type of point.
What is Mrs. Yinger's favorite candy?
Cadbury Creme Eggs
A definitely integral is quite simply a _______.
Number
"If" int_5^7f(x)dx=8 " and" int_5^7g(x)dx=-3 " find" int_7^5(2f(x)-3g(x))dx
-25
Find the average value of
y=3x^2+4x-1" over "[1,3]
20
Wild Card! Complete the chorus from the famous song Livin' On a Prayer, "Whoa, we're half way there, whoa! Livin' on a Prayer...." (10 bonus points if your whole group sings it LOUDLY!... points awarded at Mrs. Yinger's discretion)
Take my hand, we'll make it I swear. Whoa! Livin' on a prayer.
If
lim_(x->3-)=4 " and " lim_(x->3+)=-4 " then find " lim_(x->3)

d/dx int_(2x)^3(sin(2t^2)-t)dt
-2sin8x^2+4x
"If" int_3^7f(x)dx=12 and int_5^7f(x)dx=-4, "then" int_3^5f(x)dx =?
16
int(x^3-1/3x^2+2x-1)dx
F(x)=x^4/4-1/9x^3+x^2-x+C
If a curve is strictly decreasing in its domain, what do we know about the slope of any tangent line to the curve?
The slope is negative.
How did Red Land High School get it's name?
When they built the school, the dirt was found to be red.
Find the area enclosed by the two curves:
y=-x^2+5
y=-1/3x+1
10.778 units squared
What town does Mrs. Yinger live in?
Boiling Springs
F(x)=-1/8ln|cos2x|+C
F(x)=-1/8ln|cos2x|+C
Determine all inflection points for
f(x)=1/2x^4
There are no inflection points.
Which other math teacher at Red Land was hired at the same time as Mrs. Yinger?
Mr. Winn