Movies and TV
General Knowledge
Tiebreaker
100

This animated movie is set in Africa and follows a lion prince on his journey to claim his throne as king of the Pride Lands.

What is The Lion King?

100

This US state is known as the Constitution State.

What is Connecticut?

100

The current CEO of the BGCH.

Who is Bruce Wayne Jeffery?

200

This wizarding school is attended by Harry Potter.

What is Hogwarts?

200

This planet is known as the "Red Planet".

What is Mars?

300

This superhero that roams New York City is known as the "friendly neighborhood" hero.

Who is Spiderman?
300

Let f(x,y)f(x,y) be defined implicitly by the equation:

∫0f(x,y)sin⁡(t2)t dt=xy2+ln⁡(1+x2y)∫0f(x,y)tsin(t2)dt=xy2+ln(1+x2y)

Let z(x,y)=ef(x,y)2⋅cos⁡(f(x,y))z(x,y)=ef(x,y)2⋅cos(f(x,y)).

Question: Compute the mixed partial derivative:

∂2z∂x∂y∣(x,y)=(1,1)∂x∂y∂2z(x,y)=(1,1)

I don't know...