AP Calc Review Part 2

Formula 1

100

Max Verstappen is driving his car at a velocity measured in meters/second of f(x) and f(x)=5x²+10x for times 0-3 seconds. What is Verstappen's acceleration at time x=2?

30 meters per second per second

200

Lando Norris is driving his car at a velocity measured in meters/second of f(x) and f(x)=6x²+2x for times 0-7 seconds. What is Norris' position at time x=2?

20 meters

300

Lewis Hamilton is driving his car at a velocity measured in meters/second of f(x) and f(x)=9x²+4x for times 0-8 seconds. What is the total distance Hamilton travels from time 3-5?

*you may use a calc 

326 meters

400

Fernando Alonso is driving his car at a velocity measured in meters/second of f(x) and f(x)=-sin(2x) for times 0-4 seconds. What is Alonso's acceleration at time x=pi?

-2 m/s/s

500

Andrea Antonelli is driving his car at a velocity measured in meters/second of f(x) and f(x)=sec²(2x) for times 0-10 seconds. What is Antonelli's position at time x=pi?

0 meters

Formula 2

100

formula for average rate of change using f(x) from point x=a to x= b

(f(b) - f(a))/b-a

200

Find the left riemann sum using 4 intervals from x=1 - x=20 when f(0)=0, f(6)=7, f(10)=15, f(15)= 25, f(20)=40

*you may use a calc

228

300

Find the right riemann sum using 4 intervals from x=1 - x=20 when f(0)=0, f(6)=7, f(10)=15, f(15)= 25, f(20)=40

*you may use a calc

427

400

Find the midpoint riemann sum using 2 intervals from x=1 - x=20 when f(0)=0, f(6)=7, f(10)=15, f(15)= 25, f(20)=40

*you may use a calc

320

500

Find the trapezoidal riemann sum using 4 intervals from x=1 - x=20 when f(0)=0, f(6)=7, f(10)=15, f(15)= 25, f(20)=40

*you may use a calc

327.5

Derivative Practice

100

derivative of 27x³+10x²+14x+437

81x²+20x+14

200

derivative of cot(4x)

-4csc²(4x)

300

derivative of 4^sin(x)

ln(4)cos(x)(4^sin(x))

400

derivative of csc^-1(x)

-1/IxI√(x²-1)

500

derivative of cos^-1(x+2)

-1/√1-(x+2)²

Integral Practice

100

integral of 27x²+10x+14

9x³+5x²+14x+c

200

integral of sec(x)tan(x)

sec(x) + C

300

integral of 7^x

7^x/ln(7) + C

400

integral of e^2x

e^2x/2 + C

500

integral of 1/(x²+8x+17)

tan^-1(x+4) + C

Mrs. K Trivia

100

Country Mrs. K is from

India

200

College Mrs. K taught at 

Oklahoma State University

300

What Mrs. K says if you are talking during a test

"No discussing"

400

What Mrs. K would say if you say, "is this test going to be hard?"

"Oh, no it is easy"

500

Which students does Mrs. K think will pass the AP exam?

up to mrs. k