Find I, for the curve x = tcost, y = tsint and z = t² if ♪ (density) is proportional to √(1+52) from t=0 to t=1. Iz = Should have a factor of 'K' in it, where K is some proportionality constant.

Solve the initial value problems using Laplace transforms.

Which of these is an equation of the tangent line to the curve (t² + 2t + 3, 4t cost, 2 e³t) at the point where t - 0? a. (x, y, z) = (3, 0, 2) + t (1, 2, 3) b. (x, y, z)=(3, 4, 2e) + t (2,0, 6e) c. (x, y, z) = (3, 4, 2) + t (1, 2, 3) A. (x, y, z) =(3, 4, 2e) + t (2, 4, 6)

solve problem 15 with typed explanation asap