Limits
lim_(x->3)(x^2-9)/(x-3)
6
f(x)=(2x+3)^3 . Find f'(x)
f'(x)=6(2x+3)^2
Who walked on the moon on the Apollo 11 mission?
Neil Armstrong and Buzz Aldrin
List the courses that Mr. E is teaching this year?
Sports analytics, Algebra III, AP Calculus AB
lim_(x->7)(2x^2-8x-42)/(x-7)
20
f(x)=sin^3(x), f'(x)=?
3sin^2(x)cos(x)
Who was the first US President to live in the White House?
John Adams
What are Mr. E's favorite TV shows? (Any of the top 3 answers counts)
House, True Detective, and Seinfeld
lim_(x->4)(2x^3-128)/(5x-20)
96/5
xy+e^(y)+3x=15, dy/dx=?
dy/dx=(-3-y)/(x+e^y)
Air is being pumped into a spherical balloon at a rate of 5 (cm^3)/min . Determine the rate at which the radius of the balloon is increasing when the diameter of the balloon is 20 cm. (The volume of a sphere is V=4/3pir^3 ).
(dr)/dt=1/(80pi)
If Mr. E was going to teach a subject other than math, what would it be?
English
lim_(x->oo)(e^(4x))/(x^2+1)
oo
f(x)=sin^2(x) . What is the third derivative of f(x)? FULLY SIMPLIFY (but don't use trig identities)
f'''(x)=-8sinxcosx
A rectangular fenced in area is to be created. If you have 400 feet of fencing to work with, what is the maximum area of a fenced in area you can create?
10,000 sq ft
What is Mr. E's preferred snack and drink at the movies?
Skittles/Vanilla Coke
log_3(x)+e^(2y)+cot^-1(y)=xe^(y^2), dy/dx=? You can keep complex fractions in this answer.
dy/dx=(e^(y^2)-1/(xln3))/(2e^(2y)-1/(1+y^2)-2xye^(y^2)
A 15 foot ladder is resting against a wall. The bottom is initially 10 ft away from the wall, and is being pushed towards the wall at a rate of 1/4 (ft)/sec . How fast is the top of the ladder moving 12 seconds after we start pushing?
7/(4sqrt(176)) or 0.1319 (ft)/sec
Besides Rutgers, Mr. E got into two other schools. What were they?
Michigan and Northeastern