If c is the curve given by r(t)=(1+2sint)i+(1+3sin2t)j+(1+1sin 3t)k, 0≤t≤π2 and f is the radial vector field f(x, y,z)=xi+yj+zk, compute the work done by f on a particle moving along c.

Astone is dropped from a cliff and falls 9.44 meters. what is the speed of the stone when it reaches the ground? a. 13.6 m/sec b. 1.39 m/sec c. 185 m/sec d. 9.80 m/sec

Specific heat refers to the amount of heat required to change 1 gram of a substance by degree(s) celsius

Consider the growth of a 20-nm-diameter silicon nanowire onto a silicon wafer. the temperature of the wafer surface is maintained at 2400 k. assume the thermal conductivity of the silicon nanowire is 20 wm-1k-1 and all its surfaces including the tip are subjected to convection heat transfer with the coefficient h = 1×105 wm-2k-1 and t∞ = 8000 k. when the nanowire grows to l = 300 nm, what is the temperature of the nanowire tip (t (x =