3. Let P2 be the vector space of all real polynomials of degree at most 2. Let P1, P2, P3 Є P2 be given by p₁(x) = 3x, p2(x) = 2x + x², and p3(x) = B+ax². a) (4 marks) Find the condition on a, ß ER that ensures that {P1, P2, P3} is a basis for P2. (You are free to assume that the polynomials 1, x and x² are linearly independent.) b) (2 marks) In the case ẞ = 1, write the polynomial p(x) = 1 - x - x² combination of P1, P2 and P3. as a linear

Problem 1 Find the reaction forces of the supports on the beam and the forces in the articulated joints. Check on the calculations using the principle of virtual works. 91² 2ql B q A *+++ 1 t l 1 21 ^ t 1

Solve all with clear explanation please, fluid mechanics