(b) Show that the intrinsic equations of a helix on a cone of revolution are K = 1/as, T = 1/68, a, b = constant

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

The second hand of a clock is 8 centimeters long. Find the linear speed of the tip of the second hand as it passes around the clock face.

A gear train consists of three gears meshed together (Figure 9). The middle gear is known as an idler. Show that the angular velocity of the third gear does not depend on the number of teeth of the idler gear (Gear 2).