0 then Prove: If a, b, c, a, and M are constants and M 2 су — Мx* ах*у" + bxy 0 ba c constant) if and only if aa (a - 1) = Ax" (A Ур has a particular solution

Q: 10. Find a and ẞ such that c = αa + ẞb, where a = (-3,0,2), b = (0,-1,2), and c = (-6,5,-10).

A:

Q: 4. -3V12 + 3 3 +3 V20 = -35-25 5. -33 - 2 192 - 320 : 2 5 | 6. 45 +232 - 3V192 – 2V192 - 42-

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Letu = (1,−1,3,5)andv = (2,1,0,−3).Findscalarsaand b so that au + bv = (1, −4, 9, 18).

A: The given vector is u=1, -1, 3, 5 and v=2, 1, 0, -3 such that au+bv=1, -4, 9, 18. We have to find…

Q: дх and if ry + y2³ + zr' = 7 ду дх Find дт

A: We have to find the partial derivatives w.r.t x and y.