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1. Let s(x, y) = √(y2 - x2).
Sketch the domain of s.
2. Find equations for the level curves {(x, y) : s(x, y) = c} for c = 1, 2, 3, sod sketch the curves.
Here is a worker with talent θ. There is a market of potential employerswho are willing to pay a wage equalling the talent level. The worker knows thetalent, but the employers do not. They believe talent to be normally distributedwith mean μθ and pre..
Find all critical points of the function f (x) = -3x x + 2 Create a sign chart for the first derivative and based on the sign chart state intervals where the function is increasing and decreasing state exact values for the x and y coordinates for ..
what is the present value of R1 000 to be received in 10 year's time assuming a discount rate of 12% per annum?
Express the area of the triangle in terms of x only. Find A '(x). Find the critical point for x > 0. Find the maximum area of the triangle. Give an exact answer.
Estimate the area under the graph of f(x)=3x2-24x+50 over the interval [0,5] using ten approximating rectangles and right endpoints.
what are the dimensions of the silo (radius and height of cylindrical tower) that minimize the cost of the material? Assume the silo has no floor and no flat ceiling under the dome.
calc the revenue in dollars for producing x chairs is given by r(x)=50 and the cost to produce the chairs is given by x(x)=.001 x^3-.1x^2+12x+1500. Find the production level that will maximize the profit.
During the first part of a trip a canoeist travels 62 miles at a certain speed. The canoeist travels 17 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 4 hrs. What was the speed on each part of the trip..
Develop a joint probability table. Develop a probability tree showing all marginal, conditional, and joint probabilities.
Box A contains 142 marbles,box B contains 152 marbles,and box C contains 136 marble. Marbles are to be transferred only from box B to box C. What is the least number of marbles that must be transferred so that box C will contain more marbles than ..
A 3-ft by 5-ft picnic table is placed on an outdoor patio measuring x ft by (x + 1) ft. Find a polynomial for the remaining open space on the patio (in square feet).
A conical water tank with vertex down has a radius of 10 feet at the top and is 29 feet high. If water flows into the tank at a rate of 20 {rm ft}^3{rm /min}, how fast is the depth of the water increasing when the water is 13 feet deep?
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