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The temperature at a point (x,y) on a metal plate is T(x,y)=4x2-4xy+y2. An ant on the plane walks around the circle of radius 5 centered at the origin. What are the highest and lowest temperatures encountered by the ants.
Find the equation of the Straight line from the given data - Evaluate the equation of the indicated curve, subject to the given conditions,
The demand equation for a product is p = 45 - .01q. Write the revenue as a function of q and find the quantity that maximizes revenue. What price corresponds to this quantity? What is the total revenue at this price?
Consider y''+9y=t^2(cos(3t)+4sin(3t)). This has homogeneous solution C1cos(3t)+C2sin(3t). Use method of undetermined coefficient to find a particular solution.
For an electric circuit, let V=cos 2pi(t) model the electromotive force in volts at t seconds. Find smallest positive value of t where 0
What is your profit from charging the premium found in part b? What happens to the smokers and non-smokers in this market? What premium must you charge in order to break-even?
Determine any equilibrium solutions, and classify as stable or unstable.
For solving a system of equations, is there a difference between using an algebraic method and using the graphical method? Explain why or why not
Similarly, 2005 would be year 9, or x = 9 What is the slope, or rate of change, of this equation?
The monthly charge for a waste collection serive is $32 for 100 kg of waste and $48 for 180 kg of waste. Find a linear formula for the cost, C, of waste collection as a function of the number of kilograms of waste, w.
adult admission is $20 and children admission is $11. during one day, 1551 adult and children admissions was collected and $24,441 admission fees collected. how many children admissions were collected?
Using the parametric equations x=3cost, y=3sint, 0≤t≤pi/2, find the surface area of the solid generated when y is rotated about the x axis.
Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate? Which method do you prefer? Explain ..
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