Using the function shown in the figure, and for each initial esti- mate xo, determine graphically what happens to the sequence of Newton's method approximations b. xo = 1 a. xo = 0 d. xo = 4 с. хо — 2 е. хо — 5.5 y = f(x) х 1 2 3 4 5 6 7 -4 -3 -2 –1 0 -1 -2 3.

The average adult takes about 12 breaths per minute. As a patient inhales, the volume of air in the lung increases. As the patient exhales, the volume of air in the lung decreases. For t in seconds since start of the breathing cycle, the volume of air inhaled or exhaled since t = 0 is given,' in hundreds of cubic centimeters, by 2n A(t) = - 2cos 5 + 2. (a) How long is one breathing cycle? i seconds (b) Find A' (3) and explain what it means. Round your answer to three decimal places. A' (3) = i hundred cubic centimeters/second.

Calculus II

(a) At any time t seconds, the distance x metres of a particle moving in a straight line from a fixed point is given by x = 4t² -3t+ In(1+3t) Determine expressions for the initial velocity and acceleration of the particle and their values after 3 seconds.