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- Find the slope of * y + Vx+ y =x at (3,1).Air pressure at sea level is 30 inches of mercury. At an altitude of h feet above sea level, the air pressure, P, in inches of mercury, is given by P(h)= 30e(-3.23*10^-5h)) (a) Find the local linearization of P(h) near h= 0. (b) A common 'rule of thumb' used by travelers is that air pressure drops about 1 inch for every 1000-foot increase in height above the sea level. Explain why this 'rule of thumb' gives a reasonable method of estimation. (c) Does the local linearization found in part (a) give overestimates or underestimates of the exact air pressure? Explain why. (d) Does the 'rule of thumb' from part (b) give overestimates or underestimates of the exact air pressure? Explain why