Copy - versão INGLÊS - EDUCATION ESCAPE ROOM - Matemática

( by Sónia Pais )

Mathematics

Integrals

Start

Hello friends, I left my notebook and maths textbook in my locker at school and I have a maths exam tomorrow. I'm desperate because I need to study... Can you help me solve these exercises so I can get 20 marks in the exam??

Let´s do it!

Problems / Applications Definite Integral

Problems / Applications Indefinite Integral

Definite Integral

Complete all the activities and win a certificate!

Indefinite Integral

Integrals

∫4x dx

Question 01

is equal to:

Indefinite Integrals

01

∫2 (4x-1)2 dx is equal to:

Question 02

f(x)=6x2- 6x-1

f(x)=12x- 6

f(x)=2x3- 3x2

Determine the particular solution, y=f(x), that satisfies the following conditions: f´(x)=6x2-6x e f(1)=-1

01

Question 03

Go to the next level.

You did it! Well done!

Next Level

Problems / Applications Indefinite Integral

Indefinite Integral

Complete all the activities and win a certificate!

Definite Integral

Problems / Applications Definite Integral

Integrals

Question 01

TourPeniche company has found that the rate of change of the average cost for one of its products is given by: , where x is the number of units and the cost is expressed in euros. The average cost to produce 20 units is 40 euros. From the options below, indicate which is the average cost function for the product?

Problems / Applications Indefinite Integral

02

Question 02

If the marginal cost of a certain product is given by: Cmg (x)=2x+100 with fixed costs of 200 euros, what is the expression for the Total Cost (CT) function?

3750 euros

1250 euros

5300 euros

Question 03

02

If the marginal cost of a certain product is given by MC(x) = 4x + 40 and the production of 25 units has a marginal cost of 3000 euros, what will be the cost to produce 30 units?

Next Level

Go to the next level.

You did it! Well done!

Problems / Applications Definite Integral

Definite Integral

Problems / Applications Indefinite Integral

Indefinite Integral

Complete all the activities and win a certificate!

Integrals

Type the result into the calculator

Question 01

is equal to:

Definite Integral

is equal to:

Try again

Question 01

Definite Integral

is equal to:

Try again

Question 01

Definite Integral

is equal to:

Question 01

Definite Integral

Type the result into the calculator

Knowing that and , calculate the value of :

03

Question 02

Knowing that and , calculate the value of :

Try again

Tenta outra vez

03

Question 02

Knowing that and , calculate the value of :

03

Question 02

Type the result into the calculator

Knowing that and and calculate the value of :

03

Question 03

Knowing that and and calculate the value of :

Try again

Tenta outra vez

03

Question 03

Knowing that and and calculate the value of :

Try again

Tenta outra vez

03

Question 03

Knowing that and and calculate the value of :

03

Question 03

Go to the next level.

You did it, well done!

Next Level

Problems / Applications Definite Integral

Definite Integral

Problems / Applications Indefinite Integral

Indefinite Integral

Complete all the activities and win a certificate!

Integrals

False

True

Question 01

The area of the shaded region in the figure below is given by:

Problems / Applications Definite Integral

The area of a region is given by: where f(x) is the upper bound of the function and h(x) is the lower bound of the function.

False

True

Question 01

The area of the shaded region in the figure below is given by:

Problems / Applications Definite Integral

2,47

5,82

7,41

04

Question 02

It is known that, t months after the beginning of the year, the price of a certain product in supermarkets was given by: P(t) = 0.08t² - 0.18t + 1.6 (price per unit, in euros). Calculate the average price, per unit, of this product in the 2nd quarter of the year.

A hotel kitchen assistant with t months' experience is able to peel potatoes a day. Calculate the average number of potatoes per day that a new helper will be able to peel during their first 3 months on the job. Round up the answer to the units.

720

360

824

541

04

Question 03

Move on

You did it, well done!

Let´s go!

Well done! You have successfully completed all the activities ... Now get your certificate

Integrals

Congratulations

You have successfully achieved this diploma by successfully solving all the activities on Integrals!

Certificate

Integrals

Go back

Try again!

Wrong answer!