The secret door

The secret door

Play

Intro

You just moved to the Pink Palance apartments with your family, your parents seem to work hard all day and you get bored. You meet Wybie and your other neighbors, but they seem weird. While exploring the house you find this secret door that leads you to an alternate reality. Everything seems to good to be true... but you're getting bad vibes of this place so you decide to get back home.Wait- the door is not where it's supposed to be and where's the key? Oh no, bad news. You have been trapped by Beldam. To escape you'll have to find the key and deceive Beldam. Prepare for your missions it won't be easy.

+ INFO

Beldam is your evil mother. She wants you to stay in her reality and steal your soul. Beware of her and do your best to defeat her.

Mr. Bobinsky, the owner of the mice circus, is very ecccintric you might even think he's not even human.

The other father seems kind but it's actually manipulated by Beldam don't trust him,

April and Miriam are actresses, but they disguise their true form. Don't be surprised when you find their identities.

Defeat the following enemies

Map

Each of your missions is located in a different place of the alternate reality in which you have to solve 2 different problems to advance.The locations are listed below:

2. Theatre

1. Garden

4. ???

3. Circus

Mission 1

Misión 3

Locked

Misión 2

Locked

Misión 4

Locked

You probably don't remember but the first time you were here there was a surprise for you at the garden. Answer this question correctly to get the hidden object to help you find the key.

The shaded region is bounded by the graph of the function f(x)=2/x, the lines x=1, x=e^2 and the x/axis. Find the exact area and selecte the answer below.

1/2

111/4

4/15

2/3

click on the other father

Oh look! You have found

The see it all stone

click on it.

Continue

Mission 2

Misión 3

Completed

Locked

Misión 4

Locked

Let f(x)=-18/x and g(x)=x^2+10x+27. Find the sum of the areas enclosed by the graphs of f and g between x=-6 and x=-1.Write the answer.

Introduce the answer.

Número

The base of a solid is the region bounded by the parabola x^2=8y and the line y=4. The cross-sections perpendicular to the y-axis are semicircles. Determine the exact volume of the solid.

32π

415π

3/7

click on the bubble

Answer to the last riddle

Introduce la contraseña

Defeat Mr. Bobinsky to acquire the key.

Let the shaded region in red, be a solid, enclosed by the line y=2, the line y=5 and the curve y=e^x. The solid is generated by rotating the shaded region around the y/axis. Which integraks gives the volume of the solid?

π∫(2-5)e^2ydy

π∫(2-5)[ln(y)]^2dy

π∫(e^2-e^5)[ln(y)]^2dy

Let the orange region be a solid, enclosed by the line y=2, the line y=4, and the curve y=(x-1)^2. The solid is generated by rotating the shaded region around the line x=1 . What is the volume in terms of π? Select the item that has the correct volume.

(15-7)π

(2+2)π

((4*3)-6)π

You have acquired the key...

final mission

Misión 2

Misión 3

Completed

Completed

Completed

Mission 4

276/7π

Done

2/15π

276/7π

Done

Done

You're not leaving!

Don't worry here's another attempt...

Try again!

Congratulations! You have escaped and sucessfully locked the door.

Procedure

attach your procedure if you didn't do it before