THE GREATEST GAME OF ALL TIME

Question 1

Find the antiderivative of sin(x)

Accepted Answer

-cos(x)+c

Question 2

John has had enough. He jumps out of a skyscraper, falling for t=5. What is v(t) given a=10m/s2

Accepted Answer

50m/s

Question 3

What is the extreme value theorem?

Accepted Answer

f has a max and min on [a,b] if it is continuous

Question 4

Find derivative of sin(x3)

Accepted Answer

3x2cos(x3)

Question 5

Rate at which water flows into a lake is v(t)=5x2-2x. How much water flows in the first 2 sec?

Accepted Answer

28/3

Question 6

Find the second derivative of 10x3

Accepted Answer

60x

Question 7

f(x)=cot(x). Find f'(x)

Accepted Answer

-csc2(x)

Question 8

What does the derivative of a graph represent?

Accepted Answer

Slope

Question 9

WHAT IS THIS KNOWN AS????????

Accepted Answer

Quotient Rule

Question 10

Find the derivative of ((5x2)(8a3))

Accepted Answer

5x224a2+10x8a3

Question 11

What is the name of the rule that would allow you to solve for this: (f(x)g(x))?

Accepted Answer

The product rule

Question 12

When do you use L'Hopital's rule?

Accepted Answer

When the limit reaches the form (0/0)

Question 13

If f(x) is 4x5+7x2-4, then what is f'(x)?

Accepted Answer

20x4+14x

Question 14

A Ferrari's velocity is given at 10x2-5. Find distance travelled in first 5 seconds.

Accepted Answer

1175/3 m

Question 15

What is the fundamental theorem of calculus?

Accepted Answer

That it is very difficult, ∫ from a - b of f(x) dx = F(b) - F(a) where F'(x) = f(x)

Question 16

If the velocity and the acceleration of an object are both negative, then...

Accepted Answer

object is speeding up

Question 17

If the derivative of a function is zero at a single instant, what can that represent ?

Accepted Answer

The instantaneous rate of change is zero, That the graph is changing directions

Question 18

An object is on its way down in free fall. How would you describe acceleration and velocity?

Accepted Answer

velocity is increasingly - and acceleration is constant

Question 19

What is differential calculus or what does it have?

Accepted Answer

studies the behavior of rate and how things change

Question 20

Denmar drives home at a constant rate of 120 mph. Find the total distance travelled if t=4

Accepted Answer

480

Questions 20