The height of a ball t seconds after it is thrown upward from a height of 7 feet and with an initial velocity of 64 feet per second is f (t) = -16t2 + 64t + 7. (a) Verify that f(1) = f(3). f (1) = ft f (3) = ft (b) According to Rolle's Theorem, what must be the velocity at some time in the interval (1, 3)? ft/sec Find that time. t = s

Currents in dc transmission lines can be 100 a or higher. some people are concerned that the electromagnetic fields from such lines near their homes could pose health dangers. for a line that has current 150 a and a height of 8.0 m above the ground, what magnetic field does the line produce at ground level? express your answer in teslas and as a percentage of the earth’s magnetic field, which is 0.50 g. is this value cause for worry?