Hallo ich brauche hilfe bei mathe

QUESTION 1

Consider a rectangle with vertices at E, F, G, H. Suppose (EF) ⃗=p and (FG) ⃗=q. Express each of the vectors (EH,)  (GH) , (FH)  and (GE)  in terms of p and q.

QUESTION 2

A and B lie in the x-y plane. If A is the point (3,4) and B is the point (2,-6), write down the vectors (OA) , (OB)  and (AB) . Find a unit vector in the direction of (AB)

QUESTION 3

If a=i+j-k, b=i-j and c=2i+k, find (a×b)×c.

QUESTION 7

If A=[■(5&6***Kontaktdetails werden automatisch entfernt***2&1)], find the eigenvalues and the eigenvectors.

QUESTION 8

Differentiate y=5x^2+3x+9. What is the rate of change of y when x=-2?

QUESTION 9

Differentiate y=(t^4+2)e^2t.

QUESTION 10

Differentiate y=〖sin〗^3 (3t+2).

QUESTION 11

Integrate 5cos(3x+5)+3e^3x.

QUESTION 12

Find the area contained by y=sinx from x=0 to x=π/2.