Can you please help me solve 36 and 38? Thanks so much! :)

BE 30. v = tan 10- 12 31. y = 2+x2 a=1, dx = 0 my=xet, a=l, dx = 0.1 33. Estimate f (4.03) for f (x) as in Figure 9. y = f(x) / (10. 4) Tangent line (4, 2) X FIGURE 9 34. At a certain moment, an object in linear motion has velocity 100 m/s. Estimate the distance traveled over the next quarter-second, and explain how this is an application of the Linear Approximation. for a le f(b), 35. Which is larger: V2.1 - V2 or V9.1 - V9? Explain using the Linear Approximation. b = 16.5 36. Estimate sin 610 - sin 60 using the Linear Approximation. Hint: Express 40 in radians. b = 98 37. Box office revenue at a cinema in Paris is R(p) = 3600p - 10p ev- 1. b= 1.05 ros per showing when the ticket price is p euros. Calculate R(p) for p = 9 0.97 and use the Linear Approximation to estimate A R if p is raised or lowered by 0.5 euro. use it to 38. The stopping distance for an automobile is F(s) = 1.1s + 0.054s' fl where's is the speed in mph. Use the Linear Approximation to estimate the change in stopping distance per additional mph when s = 35 and when s = 55. 39. A thin silver wire has length L = 18 cm when the temperature 7 = 30"C. Estimate AL when T decreases to 25 C if the coefficient of thermal expansion is k = 1.9 x 10-5C- (see Example 6). 40. At a certain moment, the temperature in a snake cage satisfied dT/di = 0.008 C/s. Estimate the rise in temperature over the next 10s 41. The atmospheric pressure at altitude h (kilometers) for 11