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need help in my calculus problems. Thank you ! 1. The Prime Directive is not just a set of rules; it's a philosophy You are
need help in my calculus problems. Thank you !
1. "The Prime Directive is not just a set of rules; it's a philosophy" You are a crew member aboard the Starship Interspace. While observing a distant alien planet called Earth, you discovered a function f(r) that is defined and continuous on -co A(h). The CAPE value is an integral taken over the heights h where P(h) > A(h). For this data, the CAPE value is therefore defined as follows: CAPE = 9800 ( P(h) - A(h) ) dh J/ kg. A(h) + 273 The atmosphere is said to have strong instability if 2500 4000. (a) Estimate the CAPE value using left-hand and right-hand Riemann sums with 4 equal subdivisions. Does either of these estimates reach the threshold of strong instability? Do either reach the threshold of extreme instability? (b) Consider the function appearing in the integrand, B(h) = P(h) - A(h) A(h) + 273 You must use derivatives to justify your answer to the following two questions. i. Is B(h) increasing or decreasing on the interval 3Step by Step Solution
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