2. (8 pts.) Two quantities p and q depending on t are related by the equation...
2. Two quantities p and q are related as You measure p for different values of q and find 3 13 4 15 5 19 6 24 7 29 8 33 (a) Identify the dependent and independent variable, and the param- eters. (b) calculate α and β, using excel
Two variable quantities A and B are found to be related by the equation given below. What is the rate of change da/dt at the moment when A-5 and dB /dt = 17 A2+B° = 180 when A=5 and dB/dt = 1. (Simplify your answer.) Enter your answer in the answer box and then click Check Answer
Two variable quantities A and B are found to be related by the equation given below. What is the rate of change da/dt at the moment when A= 2 and dB/dt = 1? A + B = 275 dA when A=2 and dB /dt = 1. dt (Simplify your answer.)
Assume that x and y are functions of t, and x and y are related by the equation y= 4x+3. (a) Given that dx/dt=1, find dy/dt when x=2. (b) Given that dy/dt=4, find dx/dt when x=3.
At a certain factory, output Q is related to inputs 2 and y by the equation 21 Q = 572 - 3y +1+ If output is kept constant, find the rate of change of x with respect to time t when I is 9.9, y is 23.7, and y is increasing at the rate of 1.7 units per second. • (-34) Give your answer as a decimal
Find a vector equation and parametric equations for the line segment that joins P to Q. (D |-1+2-) 1 P(0, -1, 4) 4 -t.2 3 t. r(t) 4 vector equation X 7 4 t.2 3 1 - t. (x(t), y(t), z(t)) 4 X - parametric equations 2 If two objects travel through space along two different curves, it's often important to know whether they will collide. (Will a missile hit its moving target? Will two aircraft collide?) The curves might...
Question 2 6 pts There are 3 firms setting quantities simultaneously. The inverse demand is p=a- bQ, where Q is the total quantity. The marginal cost of two firms is 1 and the marginal cost of the remaining firm is 2. What is the NE in quantities? You need to at least show the profit function of each type of firm and the first-order conditions.
Let P(t) be a function and Q(t) be functions. dP/dt = aQ dQ/dt = -bP (1) Find the equilibrium point(s) and discuss their stability. (2) Find the trajectories of P and Q. (3) Solve the system to find P and Q as functions of t.
Find a vector parametric equation F(t) for the line through the points P= (1,1, 4) and Q = (-2,-2,8) for each of the given conditions on the parameter t. (a) If 7(0) = (1,1, 4) and 7(5) = (-2,-2,8), then F(t) = HI (b) lf F(7) = P and 7(11) = Q, then F(t) = HI -2, respectively, then (C) If the points P and Q correspond to the parameter values t = 0 and t F(t) =
Two points P and Q are given. P(2, 1, 0), Q(−1, 2, −3) (a) Find the distance between P and Q.