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A wholesaler that sells computer monitors finds that selling price “p” is related to demand “q” by the relation p=280 - .02q where p is measured in dollars.
Draw a graph that shows the path of the cat. Then write the geometric description of the path of the cat relative to the two trees.
What is trying to be solved is the proof in the first paragraph. All of the other information is there to help solve the problem.
Consider the differential equation (dy/dx) = (-xy^2)/2. Let y=f(x) be the particular solution to this differential equaiton with the initial condition f(-1)=2.
A corporation manufactures a product at two locations. The cost of producing x units at a location one and y unites at location two are C1(x)=.01x^2.
Let f(z) be an analytic function of the complex variable z on a domain D. Let C be a smooth closed curve inside D and suppose that C.
Describe a real world situation that could be modeled by a function that is increasing, then constant, then decreasing.
Bayside General Hospital is trying to streamline its operations. A problem-solving group consisting of a nurse, a technician, a doctor, an administrator.
What is the value of y given by this particular solution when x=0.5 ? (give answer to 4 decimal places).
An open-top box is to be made as follows: squares of a certain size will be cut away from each of the four corners of a 20" x 30" rectangle.
The surrounding medium has a damping constant of 10 dyne*sec/cm. The mass is pushed 5 cm above its equilibrium position and released.
The equation f(x)= x^3 – 3x +1 has three distinct real roots. Approximate their locations by evaluating f at -2, -1, 0, 1, and 2.
Show that: lim (x+y)=o as x and y approach zero; using the epsilon-delta definition. Also, show that: lim f(x)=1 as x approaches zero; using the epsilon-delta.
Use implicit differentiation to find an equation of the line tangent to the curve x^3+2xy+y^3 = 13 at the point (1,2).
Using the method of undetermined coefficients to find the particular solution of the nonhomogeneous equation.
Use the differential equation for y (not the solution formula) to show that the quantity Q also undergoes exponential decay with rate constant k.
Find the length of the graph of y = 1/3 x3/2 - x1/2 from (1, - 2/3) to (4, 2/3).
Find a function f(x) = x^k and a function g such that f(g(x)) = h(x) = v(3x+ x2)
Consider two tanks, labeled Tank A and Tank B. Tank A contains 100 gallons of solution in which is dissolved 20 lbs of salt.
Find the present value and future value of an income stream of $1000 a year, for a period of 5 years, if the interest rate is 8%.
Determine the shape assumed by the surface of a liquid being spun in a circular bowl at constant angular velocity, W.
What dimensions will maximize the enclosed area? Be sure to verify that you have found the maximum enclosed area.
An object having a mass of 1 kg. is suspended from a spring with a spring constant (k) of 24 Newtons/meter.
Suppose that the cost of preventive maintenance increases as the weeks between the preventive maintenance increases.
The second way, find the inverse LaPlace transform of 1 / s2 using the integration theorem, and then apply the s-shift theorem.