Using Related Rates In Exercises 1–4, assume that x and y are both
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- my instructor $ ܩ ܠܛ + 4 7 K R 5 The function p(t) = a) Find p'(11), p'(55), and p'(110). b) Find p''(11), p''(55), and p''(110). c) Interpret the meaning of your answers to part (a) and (b). What is happening to the population of deer in the long term? 2000t 4t+75 % a) p'(11)= (Type an integer or decimal rounded to three decimal places as needed.) 5 T gives the population p of deer in an area after t months. G Search or type URL ^ 6 D MacBook Pro Y & 7 "A U (...) * 8 Clear all ( 9 W 0 O Check answer P EC (1 2( 6 (1 0 (1) { + [arrow_forwardThe wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f(v, t) are recorded in feet in the table below. Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) V 10 15 20 30 40 50 60 t 5 2 4 5 10 15 20 30 40 50 9 247 2 2 24 37 500 8 5 8 2 47 54 5 9 2 2 13 16 17 18 14 21 25 28 31 33 33 19 29 36 40 45 48 50 (a) What is the value of f(30, 15)? What is its meaning? According to the table, f(30, 15) = feet. 5 5 9 9 19 19 62 67 69 which means that if a 30 knot wind has been blowing in the open sea for 15 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(15, t)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. We fix v = 15 and allow t to vary, resulting in an equation of one variable. We fix t = 15 and allow v to vary, resulting in an equation of one…arrow_forwardUse Fundamental Theorem of Calculusarrow_forward
- The table below lists the height h (in cm), the age a (in years), the gender g (0="Female", 1="Male"), and the weight w college students. We wish to fit a linear function of the form Height 168 179 155 164 173 w = w(h, a, g) Age Gender N N 09 21 21 22 22 22 18 0 1 0 0 1 Weight 60 87 47 56 81 w = co + c₁h + c₂a + c3g which predicts the weight from the rest of the data. Find the best approximation of this function, using least squares.arrow_forwardExplain and show all steps thanks!arrow_forwardPlease show solution, thanksarrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage