General mathematics i questions.

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#	Question
1	Evaluate the following integrals $int x,sec^{2}x ,dx$ $int x^{2},e^{x} ,dx$ Mathematical Calculation
2	Find the vector and scalar products of the following two vectors $underline{a}=3underline{i}-underline{j}+2underline{k}$ and $underline{b}=2underline{i}+underline{j}-underline{k}$ Prove that the area of parallelogram with sides $underline{a} : and: underline{b}$ is $\|underline{a} imes underline{b}\|$ . Find the area of a parallelogram with sides $underline{a} =3underline{i}-underline{j}+2underline{k}$ and $underline{b} =2underline{i}+3underline{j}-underline{k}$ Find the unit vector perpendicular to the plane of vectors $underline{A} =3underline{i}-2underline{j}+4underline{k}$ and $underline{B} =underline{i}+underline{j}-2underline{k}$ . Mathematical Calculation
3	Use the elementary row operations to find the inverse of matrix $A=egin{bmatrix} 2 &-1 &0 \ -1& 2 &-1 \ 0&-1 &2 end{bmatrix}$ Mathematical Calculation
4	Solve the following system of linear equations by Gaussian Elimination Method $egin{align} 3x+y-3z &=-4 \ x+y+z&= 1\ 5x+6y+8z &=8 end{align}$ Mathematical Calculation