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IB Calculus III
Misc.
100

Who do you have to beat on Beat Bobby Flay?

Bobby Flay

100

But father...

When can I leave to be on my owwwwwwwwn, I have the whole woooooorld to seeee

100

Who's name do we chant instead of saying "We're a family?

KONG KONG KONG

100

1+1

2 (OMG NO WAY)

100

Who ordered lots and lots of hamburders?

Donald John Trump

200

Who forgot they fry bread?

Darnell Ferguson

200

What is Pinocchio's father's name?

Geppetto

200
What character did Dad dress up as who had a HORRIBLE mask?

Star Lord

200

√256

16

200

Who won in the war of Australia vs Emus?

Emus

300

What team on the Great Food Truck Race jumped into a pool with an hour left in the finals and won?

Just Wing It

300

What does Tibalt call EVERYONE?

Senors and Senorinas

(No accent because he doesn't deserve them)

300

What was the first Disney Jr. show?

Jake and the Never Land Pirates 

300

9+10

(If help is needed ask Aaron)

21 (ya stupid)

300

Who is the only King in a deck of cards without a mustache?

King of Hearts

400

What are the names of the two people who film Ree Drummond?

Alex and Paige

400

How many "Skidee"s were performed in the sequence by the window? (Including /12 Skidees)

3.5 Skideez

400
What button did Groot NOT need to push?
The one on the right
400

True or False: 120 = 6!

False
400

Who do you love more, Isaac or Aaron?

Both <3

500

What is Guy Fieri's middle name?

Ramsay

500

DAILY DOUBLE

What did Pinocchio: A True Story get on Rotten Tomatoes? (± 1%)

500

Who was the painting supervisor in The Little Mermaid?

Bethann McCoy

500

If sin2x=22 - 8√7 Prove that 3(Sinx+Cosx+Tanx+Cosecx+Secx+Cotx) = 21

Let sin 2x = k

k = 22- 8√7

k - 22 = -8√7 [Bring 22 to the LHS)

(k-22)² = (-8√7)² [Squaring both sides]

k² - 44k + 484 = 448 [Expanding]

k² - 44k = 448-484 [Bringing 484 to the RHS]

k² - 44k = -36 [Multiply throughout by k]

k³ - 44k² = -36k

k³ - 44k² + 36k = 0 [Bringing -36k to the LHS]

k³ - 49k² +5k² + 8k + 28k = 0 [Rearranging factors]

k³ + 5k² + 8k = 49k² - 28k [Rearranging factors and bring 49k² - 28k to the RHS]

k³ + 4k² + k² + 4k + 4k = 49k² - 28k [Rearranging factors]

k³ + 4k² + k² + 4k + 4k + 4 - 4 = 49k² - 28k [Adding + 4 and -4 to make it a quadratic/polynomial]

k³ + 4k² + k² + 4k + 4k + 4 = 49k² - 28k + 4 [Bringing -4 to the RHS]

k³ + 4k² + k² + 4k + 4k + 4 = (7k - 2)² [Writing 49k² - 28k + 4 in the form of (a-b)²]

(1+k)(k² + 4k + 4) = (7k - 2)² [Factoring LHS]

(1+k)(k + 2)² = (7k - 2)² [Writing k² + 4k + 4 in the form of (a+b)²]

(1+k) = (7k-2)²/(k+2)² [Bringing (k+2)² to the RHS]

(1 + 2sinxcosx) = (7k-2)²/(k+2)² [k = sin2x = 2sinxcosx]

(sin²x + cos²x + 2sinxcosx) = (7k-2)²/(k+2)² [ 1 = sin²x + cos²x and we bring LHS to the form (a+b)²]

(sinx + cosx)² = (7k-2)²/(k+2)²

(sinx + cosx) = (7k-2)/(k+2) [Taking root on both sides]

sinx + cosx = (7k -2)/k / (k+2)/k) [Divide Numerator and Denominator of RHS by k]

sinx + cosx = (7 - 2/k) / (1+2/k)

(sinx + cosx) (1 + 2/k) = 7 - 2/k [Taking (1+2/k) to the LHS]

sinx + cosx + 2sinx/k + 2cosx/k = 7 - 2/k [Multiplying and Expanding]

sinx + cosx + 2/k(sinx + cosx) + 2/k = 7 [Taking Common factor out]

sinx + cosx + 2/k(sinx + cosx + 1) = 7 [Taking Common factor out]

sinx + cosx + 2/k(sinx + cosx + sin²x + cos²x) = 7 [ 1 = sin²x + cos²x]

sinx + cosx + 2/2sinxcos (sinx + cosx + sin²x + cos²x) = 7 [k = sin2x = 2sinxcosx]

sinx + cosx + 1/cosx + 1/sinx + sinx/cosx + cosx/sinx = 7 [Canceling common terms]

sinx+cosx+secx+cosecx+tanx+cotx = 7 [1/cosx=secx,1/sinx=cosecx,sinx/cosx=tan…

Therefore sinx + cosx + secx + cosecx + tanx + cotx = 7

3(sinx + cosx + secx + cosecx + tanx + cotx) = 21

500

Which country has someone try to sell it on the internet?

New Zealand

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