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1. Draw a contour map of the function f(x, y) = √(4x2 + y2). Draw level curves for z = 0,1.2,4.
2. Convert the rectangular point (x, y, z) = (3√3, 3, 4) into cylindrical (r, θ, z).
3. Convert the spherical point (ρ, θ, Φ) = (10, π/2, π/6) into rectangular (x, y, z).
An executive invests $28,000, some at 6% and some at 5% annual interest. If he receives an annual return of $1540, how much is invested at each rate.
Write and graph a linear equation
an investment club invested 9000 at 7.4 annual simple interest. how much additional money should they invest at an
The metal used to make the top and bottom of a cylindrical can costs 4 cents/in^2, while the metal used for the sides costs 2 cents/in^2. The volume of the can is to be exactly 100 in^3. What should the dimensions of the can be to minimize the c..
If Evergreen Fertilizer Company in Problem 4 changes the price of its fertilizer from $0.40 per pound to $0.60 per pound, what effect will the change have on the break-even volume?
how many chairs of each type should be made to maximize the profit. need to formulate as an integer programming problem.
a runners heart rate is 133 beats per minute. this is 62 beats per minute more than his resting heart rate. write and
a plane travels 470 mi 340 mi against the wind. wind speed is 26mph. what is the distance traveled in still air?
ab is a fixed diameter of a circle and is 6 in. long. c is a variable point which moves on the circle. describe
A 5 × 7 photograph has a rectangular cardboard mat frame that is an equal depth on all four sides. If the total area of the mat is 99 in2, what is the depth of the mat?
find the volume V generated by rotating the region bounded by the given curves about x = 4.
Use the Empirical Rule to find what two values 99.7% of the data will fall between for a data set with a mean of 287 and standard deviation of 14.
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