View
833
Download
15
Category
Preview:
Citation preview
Find this least distance. 274. Two stations A and B are on a rectilinear highway passing from west to east, B lying 9 ktn to the east of A. A car starts from A and moves uniformly eastwards at a speed of 40 krn/hr . A motorcycle simultaneously starts from B in the same direction and moves with a constant acceleration of 32 krn/hrv Determine the greatest distance between the car and motorcycle during the first two hours of motion . Hint . It is advisable to plot the graph of the distance between the car and motorcycle against the time of motion. 275. Find the greatest value of the expression 8 log~ x + l210g; X log2-X when x vades between I and 64. 2i6. Find the greatest value of the function x y= ax2 +b (a> 0, b > 0). 277. Find the least value of the expression 1+ x2 l+x for x ;;::: O. 278. Find the least value of the function rp (x) = Ix-aj +Ix -bl + Ix-cl +Ix-dl, where a < b < c < d are fixed real numbers and x takes arbitrary real values. Hint. Mark a, b, c, and d on a number scale. COMPLEX NUMBERS 279. Find all the values of 'l satisfying the equality z2 + lzl= 0 where IzI denotes the modulus of the complex number z,
Recommended