1 1+): near X = 0 6. Find the tangent line approximation of f(x) = 7. 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 = 306423107\". Find the equation of the tangent line at h = 0. A rule of thumb used by travelers is that air pressure drops about 1 inch for every 1000 foot increase in height above sea level. Write a formula for the air pressure given by this rule of thumb. 8. Use the Racetrack Principle and the fact that sin(0) = 0 to Show that sin(x) s x for all x a 0. 9. Use one of the theorems of Section 3.10 to prove: if f '(x) s 1 for all x and f(0) = 0, then f(x)sx forall x20. 10. Let p(x) = x5 + 8x4 30x3 + 30x2 31x + 22. What is the relationship between p(x) and f(x) = 5x4 + 32x3 90x2 + 60X 31? What do the values of p( 1) and p(2) tell you abou the values of f(x)