MQwidgets2 examples

Intervals

  1. Write the following numbers sets as intervals:

a) All the numbers greater than -3 and less than 3

b) All the numbers greater than -3 and less than 3, both are included

c) All numbers greater than -3

d) All the numbers greater or equal to -3

e) All the numbers smaller than 3

Arithmetics

  1. Do the following calculations:

a) \(9\cdot 5-2\)=

b) \(\sqrt{49}\)=

c) \(\sqrt{\sqrt{2} }\)=

  1. Answer these multiple choice questions:

a) The right answer is the 2

b) The right answer is the 4

Àlgebra

  1. Do these exercices about matrix algebra:

a) \(\left(\begin{matrix} 1 & 0 & 1\\ 0 & 0 & 1 \\1 & 1 & 0\end{matrix}\right)^2\)=

b) \(A=\left(\begin{matrix} 1 & 0 & 1\\ 0 & 0 & 1 \\1 & 1 & 0\end{matrix}\right);\quad A^t\cdot A\)=

  1. Do these exercices about polynomials:

a) Factoritze \(P(x)=x^2+x-2\)

b) Expand \((x+4)^2\)

  1. Some examples using the Nerdamer CAS:

Expand \((x+2)^3\)

Compute the derivative of the function \(f(x)=x^2+\cos(x)-2\)

Complete the definition of logarithm for the expression \(\log_5 A =3\)

Compute the area under the curve \(x^2+2x+1\) from \(x=0\) to \(x=10\).