Όλα τα έργα
Ορισμένο ολοκλήρωμα (Ι)
Η τιμή του ολοκληρώματος: $\displaystyle \int_0^1 \frac{y}{y^2+1}dy$, είναι:
# Definite integral
Training
13
Ορισμένο ολοκλήρωμα (Β)
Εάν $f$είναι συνάρτηση πραγματικής μεταβλητής και ισχύει ότι: $F'(x)=f(x), \forall x \in \mathbb{R}$, το $\int_1^3 f(2x)dx$ θα είναι:
# Definite integral
Training
13
Modelling linear functions
Imagine that you want to buy some pens. In the shop near home one pen cost 0,80 euro, online one pen cost 0,60 euro but the shipping fees are 3 euro.
How many pens you have to buy in order to spend the same money in each shop?
# Linear functions
Training
8
Two straigh lines intersection
Identify the relative positions of this two straigh lines:
$y=2x-4$
$y=2x-2$
# Linear functions
Learning
8
Point of intersection
Determine a possible point of intersection of the given two lines.
$f(x)=0,5x+4,5$
$g(x)=22-3x$
# Linear functions
Training
8
The burning down candle
A new candle is 24 cm high. After five hours a candle lose 10 cm of its height.
How long does it take for the candle to burn down completely? Give your answer in hours.
# Linear functions
Modeling
8