Using Different Methods In Exercises 7-12, find dw/dt (a) by using the appropriate Chain Rule and (b) by converting w to a function of t before
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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_forwardt (seconds) v (t) (feet/second) a (t) (feet/second 2) 0 15 -20 -30 1 5 25 -20 2 30 -14 1 35 - 10 2 50 0 4 60 10 A car travels on a straight track. During that time interval 0 ≤ t ≤ 60 seconds, the car's velocity v, measured in feet per second, and acceleration a, measured in feet per second, are continuous functions. The table above shows the selected values of these functions. For 0 < t < 60, must there be a time a (t) = 0? Yes. Since v (0) = v (25), the Mean Value Theorem guarantees a t in (0,25) so that a (t) = v (t) = 0. 2 O No. Since v (0) = v (25), the Mean Value Theorem can not guarantee a t in (0, 25) so that a (t) = v1 (t) = 0. Yes. Since v (0) = v (25), the Mean Value Theorem guarantees a t in (0,25) so that a (t) = v (t) = 0. O No. Since v (0) = v (25), the Mean Value Theorem can not guarantee a t in (0, 25) so that al (t) = v(t) = 0.arrow_forwardGenerate functuon A(Z)=2/1-9zarrow_forward
- (MULTIPLE CHOICE) Determine which of the following set of functions is(are) linearly depen- dent on (-0o, 0). (A) fi(x) = x, f2(x) = x², f3(x) = 4x – 3x? (B) fi(x) = 5, f2(x) = cos? r, f3(x) = sin? r %3D %3D (C) fi(x) = x, f2(x) = x - 1, f3(x) = x +3 (D) fi(x) = e, f2(x) = e2", f3(x) = e- (E) fi(x) = e, f2(x) = e, f3(x) = sinh a %3Darrow_forwardCalculus IIarrow_forward2x+1 The gradient vector to f (x, y) at the point (0, 0) y+1 is .arrow_forward
- Real Analysis II Please kindly follow exact instructions and hintarrow_forwardReal Analysis II Q2.arrow_forwardThe table below lists the height h (in cm), the age a (in years), the gender g (1="Male", 0="Female"), and the weight w (in kg) of some college students. Height We wish to fit a linear function of the form C2 = || Age Gender 175 20 182 20 156 23 174 18 165 21 1 1 0 1 0 f(t) = co + c₁h + c₂a + c3g to these data. Find the best approximation of this form, using least squares. Co = C1 = Weight 77 84 49 76 56arrow_forward
- Elementary Linear Algebra (MindTap Course List)AlgebraISBN:9781305658004Author:Ron LarsonPublisher:Cengage Learning