(h) Estimate the weight lost by 200 pound human being ying in a jet at an altitude of 7 miles. [4} Using differentials estimate ln(2 + 0.001} ln(2). Using your calculator compute the value of ln{2 + 0.001) ln(2} and compare with your estimate. How do they compare? (5} Let f(1'] = 3:)\". (a) Find the linear approximation of x) at 12:0 2 1 to show that (1 + Arjl' z 1 + kAI. (11] Give a range of values of a: for which our formula (1 + 3:}k s: 1 + k3: work. ((1) Show, using (1 + at)!\" 7.: 1 + k1. that 1(1+3:)1+(1+3:]2+...+(1+1=}ma: 11+551. ((1) Use this to estimate: 1 1.001 + 1.0012 + 1.0013 + 1.0014 + + 1.0011\". {e} Using (1 | $)k m 1 + For, approximate a value of (lDUUJUUUllm