Math Addicts Jeopardy, 4 April

Calculus

1

Find the derivative:

f(x) = 4x² - 8x + 1

Answer:

f'(x) = 8x - 8

2

Find the indefinite integral:

f(x) = 3x² + 6x + 1

Answer:

F(x) = 3x² + (6/2)x² + x + C

3

Find the definite integral:

f(x) = 6x² + 8

Upper bounds is 4

Lower bounds is 0

Answer:

160

4

Find the derivative

f(x) = 25 cos(x/5)

Answer:

f'(x) = -5 sin(x/5)

Word Problems

1

Tommy has 20 cheez-its and his friend Sam takes 17. How many cheez-its does Tommy have left?

Answer:

Tommy has 3 cheez-its left

2

Jessica has 8 slices of cake, and she wants to divide it between her and 2 other friends. If everyone gets the same amount of cake, what is the remaining of cake left.

Answer:

There are 2 untaken cakes.

3

A car is goes on average 60 mph to reach a destination that is 300 miles away. How many hours was the trip?

Answer: 

5 hours

4

A man looks at a pole that is 500 meters away. If he looks at a 25° angle to spot the top of the pole, how far is he from the pole?

Set your calculators on degrees

Answer:

~1072.25

Algebra

1

Find the answer:

- sqrt(4) + 3² * 8 - 3

Answer: 

67

2

Find the Answer:

log₃ 27 = ?

Answer: 

log₃ 27 = 3

3

Factor:

169x² + 52x + 4

Answer:

(13x + 2)²

4

Find the value of an imaginary number raised to the power of 14.

i¹⁴ = ?

Hint: i² = -1, i³ = -i, i⁴ = 1 

Answer:

i¹⁴ = -1

Math Trivia/Concepts

1

Recite the order of operations. The actual words, not just the pneumonic.

Answer: 

PEMDAS: Parenthesis, Exponents, Mulitply/Divide, Add/Subtract

 

2

What is the Pythagorean Theorem?

Answer: 

a² + b² = c²

3

What is the approximation of e (Euler's number) up to 3 digits after the decimal 

Answer:

2.718

4

Who can recite the most digits of pi?

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549