Question 7 Section 3-9: Chain Rule - Assignment PFor problems 1-51 differentiate the given functi1. g (x) = (3 – 8r)"g%6A = (x) 6(67 - 7+6) = (7) 4Vw³ +8w²彩券5. R (v) = (14v² - 3v)30)2.(m) H´98.(mg-9)7. f (x)= sin (4.r + 7xt)(a)8. T (r) tan(1-2e)

Answered: Image /qna-images/answer/7f811b29-ae82-4de6-ab2e-6dfcbcf7d6dc.jpg

Answered: 7. J(1) - sin(4.x | 7r)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section6.4: Hyperbolas

Problem 5ECP: Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.

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2. Suppose that in Example 2.27, 400 units of food A, 500 units of B, and 600 units of C are placed in the test tube each day and the data on daily food consumption by the bacteria (in units per day) are as shown in Table 2.7. How many bacteria of each strain can coexist in the test tube and consume all of the food? Table 2.7 Bacteria Strain I Bacteria Strain II Bacteria Strain III Food A 1 2 0 Food B 2 1 3 Food C 1 1 1
Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.
The average number of customers in the system in the single-channel, single-phase model described in Section 12.4 is L=λ/(μ – λ) Show that for m = 1 server, the multichannel queuing model in Section 12.5, is identical to the single-channel system. Note that the formula for P0 (Equation 12-13) must be utilized in this highly algebraic exercise.
Work out the following problem
Problem b, how do I isolate "t"
Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 100 pounds of salt is dissolved in the solution in tank A and 50 pounds of salt is dissolved in the solution in tank B. The system is closed in that the well-stirred liquid is pumped only between the tanks, as shown in Figure 3.3.7.(a) Use the information given in the figure to construct a mathematical model for the number of pounds of salt x1 (t) and x2(t) at time t in tanks A and B, respectively.(b) Find a relationship between the variables x1(t) and x2 (t) that holds at time t. Explain why this relationship makes intuitive sense. Use this relationship to help find the amount of salt in tank B at t = 30 min. FIGURE 3.3.7 Mixing tanks in Problem 9Chapter 3.3, Problem 9E, Two very large tanks A and B are each partially filled with 100 gallons of brine. Initially, 100
The number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are under study. Suppose that the joint pmf of X and Y is modeled as fxy (x,y)=c(x+y), x=1,2,3 and y=1,2,3. Check if the number of defects on the front side (X) of a wooden panel and the number of defects on the rear side (Y) of the panel are independent.
3. Problem(3)(weight20%)Determine whetherthefollowingequationrepresentsasphere.x2 + y2 + z2 ? 2x ? 4y + 8z + 20=0[TurnOver/]
18.Continuing Problem 17, show that the critical point (0, 0) is a.Asymptotically stable if q > 0 and p < 0; b.Stable if q > 0 and p = 0; c.Unstable if q < 0 or p > 0. The results of Problems 17 and 18 are summarized visually in Figure 9.1.8 FIGURE 9.1.8 Stability and classification of critical point (0, 0) as a function of p = a11 + a22 and q = a11a22 − a12a21.
Two interacting populations of hares and foxes can be modeled by the recursive equations h(t + 1) = 4h(t) − 2 f (t) f(t+1)=h(t)+ f(t). For each of the initial populations given in parts (a) through (c), find closed formulas for h(t) and f (t). a. h(0)= f(0)=100 b. h(0)=200, f(0)=100 c. h(0)=600, f(0)=500

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