Calculus Q's
History of Calculus
Mr. Dodge
Class Q's
Math Rules!
100
limx->7 (x2-5x-14)/(x2-10x+21)
9/4
100
Who were the first people to use elements of calculus in their math?
Greek mathematicians used the method of exhaustion in 400bc which foreshadowed the concept of limits.
100
Who does Mr. Dodge look like?
Ed Sheeran
100
What was our last test?
Volumes and Differential Equations
100
When would you use the quotient rule?
You want to use the quotient rule when you have one function divided by another function and you're taking the derivative of that
200
In the xy-plane, the line 6x+y=2, where k is a constant, is tangent to the graph of y=2k+x^2. What is the value of k?
11/2
200
Name the two people credited for inventing calculus
Isaac Newton & Gottfried Wilhelm Leibniz
200
Where does Mr. Dodge's wife work?
LL Bean
200
What is Tessa's final grade in this course?
With a 100% grade on this project she will receive a 95! YAY!
200
What is presented here?: (fg)' = fg' + gf'
The product rule
300
If f(x)= tan4 (3x), that is f'((5π)/(12))?
24
300
What was Isaac Newton using calculus for?
To figure out why the orbits of the planets were elipses. He applied calculus to general physics!
300
What do Tessa and Addie Call Mr. Dodge?
Brain
300
What happened when Addie and Tessa came to school?
The whole class had to go to the Library
300
What is the formula for the chain rule?
(f(g(x)))' = f ' (g(x)) · g ' (x)
400
If G(x) is an antiderivative for f(x) and G(2)=-7, then G(4)=
-7+∫42 f(t)dt
400
Who said, "It is most useful that the true origins of memorable inventions be known, especially of those that were conceived not by accident but by effort of meditation"
Leibniz
400
Did Mr. Dodge enjoy prom?
No his date blew him off for some other guy. Years later she invited him to her wedding. Awkward.
400
What test did Addie score a 73% on?
ALL Techniques of Differentiation Test
400
BONUS FRQ: let (d2y)/(dx2)=-3x2-4 for the function y=f(x)
If y'(1)=5 and y(1)=-(1/4), find the solution y=f(x)
See work contestant provided
500
The volume generated by revolving about the x-axis the region above the curve y=x3, below the line y=1, and between x=0 and x=1 is
(6π)/7
500
Whose original notations were more accurate? Leibniz or Newton?
Leibniz
500
What annoying thing did Mr. Dodge's college roommate do?
Ate all the chunks out of the Ben and Jerry's ice cream
500
Name our first assigned HW
"First Assignment"
500
State the power rule
