MAT187H1 Lecture 2: Ch 6.4 - 6.5

Q12 If P-Y × 1 where V-1 volt, 1-2 amps and Vand I are changing: V = +0.01 volts/s. I = +0.01 amps/s, find the rate of change of P in watts/s

Q10 dy If y(2+1 find v ? Q11 If y=sin-ix what is- ? Q12 If P-Y × 1 where V = 1 volt, 1 = 2 amps and Vand I are changing: V = +0.01 volts/s. I = +0.01 amps/s, find the rate of change of P in watts/s dx dy dy

Prove that if S = {y,v,, ,v, } is a basis for a vector space V, then every 4. vector in V can be written in a unique way as a linear combination of vectors in S 5. Find the area of the parallelogram that has the vectors as adjacent sides a. b. Suppose (.")2u's represents an inner product on R'. For ii = (2,1,-3) and v= (-1,0,4), i) Find the distance between i and v. i) Find the projection of v onto i.