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Let f(x,y) = √(x2 + y2 - 9).
a. What is the domain of this function? Sketch the domain as a region in the xy plane.
b. Write parametric equations for the intersection of this function with the function g(x, y) = x + y.
c. Give the equations of the traces of this function [f{x, y), that is] in the xy, xz, and yz planes, and sketch the traces.
d. Find fx(x, y)and fy(x, y).
A wooden artifact contains 65% of the Carbon-14 that is present in living trees. How long ago was the artifact made?(the half-life of Carbon-14 is 5730 years.)
Problems on linear regression equation
A boat leaves a dock at 2pm and travels due south at a speed of 20km/h. Another boast has been heading due east at 15km/h and reaches the same dock at 3. at what time were the two boats closest together?
Calculate the point elasticity of demand for a drug when the average income in the community equals 50,000 and price of the drug is 400 demand function
A 3-ft by 5-ft table is placed on an outdoor patio measuring x ft by ( x+1 ) ft. Find a polynomial for the remaining open space the patio (in square feet)
The region bounded by the curves y=x^2 and y=sqrt(x) is revolved about the y-axis. Use the method of cylindrical shells to set up the integral that represents the volume of the solid. Do NOT evaluate the integral.
In what direction should the plane head to end up going due east? What is the airplane's speed relative to the ground?
A ball is thrown upward with a speed of 96 ft/s from the top of a building if height 432. Find the maximum height that it can reach.
the mean is 70 and the standard deviation is 5.in the third class, the mean is 72 and the standard deviation is 4. in which class are the grades most dispersed.
write the revenue R as a function of number of units sold
A group of ducks and cows are in a field. They have a total of 65 heads and 226 legs. How many ducks are in the field?
planning parenthood reg a national organization that assists teenage mothers with pregnancy estimates that
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