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What is the net average charge on the predominant form of lysine at Phil values of 2.0, 5.0, and 7.0
Determine the equation of the circle with radius 9
9 and center (-1,-8)
(−1,−8).
Find the general solution of the given differential equation.
(x + 1) dy/dx + (x + 2)y = 2xe^−x
Write processes which occur on inert electrodes during electrolysis of FeCl3 and Ca(No3)2 acqueos solution
Phosphorous acid (H3PO3) can be prepared from phosphorus triiodide (PI3) according to the reaction:
〖PI〗_3 (s)+ H_2 O (l)→H_3 〖PO〗_3 (aq)+HI (g)
Balance the equation. If 150 grams of 〖PI〗_3 (MM = 411.7 g/mol) is added to 250 mL of H2O (MM = 18.01 g/mol, ρ=1.00 g/mL), identify the limiting and excess reagents. How many grams of H3PO3 (MM = 81.99 g/mol) will be theoretically produced?
You have 80 grams of a radioactive kind of tellurium. How much will be left after 8 months if its half-life is 2 months?
You have 80 grams of a radioactive kind of tellurium. How much will be left after 8 months if its half-life is 2 months?
Let P(t) be the population of a certain animal species. Assume the
P(t) satisfies the logistic growth equation,
dP
dt = 0.2P(t) (1 −
P(t)
200) , y(0) = 150
a) Is the above equation autonomous? if yes (explain your answer with
proper reasons), if no (justify you answer).
b) Solve the above initial value problem, and find the value of solution at
time t = 0.5 using separation of variables
Consider the autonomous DE xʹ = x(x − 1)(x+ 2). Determine the
critical points of the equation. Discuss a way of obtaining a phase portrait
of the equation.
6. The owner of a car wash is trying to decide on the number of people to employ based on
the following short-run production function:
Q 5 6L 2 0.5L2
where Q 5 Number of car washes per hour
L 5 Number of workers
a. Generate a schedule showing total product, average product, and marginal product.
Plot this schedule on a graph.
b. Suppose the price of a basic car wash (no undercoating, no wax treatment, etc.)
in his area of business is $5. How many people should he hire if he pays each
worker $6/hour?
c. Suppose he considers hiring students on a part-time basis for $4/hour. Do you think
he should hire more workers at this lower rate? Explain
#340153 on Dec 2023