In the following exercises, translate to a system of inequalities and solve. 389. Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Should she display 26 bracelets and 14 necklaces? (d) Should she display 39 bracelets and 1 necklace?
In the following exercises, translate to a system of inequalities and solve. 389. Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (a) Write a system of inequalities to model this situation. (b) Graph the system. (c) Should she display 26 bracelets and 14 necklaces? (d) Should she display 39 bracelets and 1 necklace?
In the following exercises, translate to a system of inequalities and solve.
389. Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit.
(a) Write a system of inequalities to model this situation.
(b) Graph the system.
(c) Should she display 26 bracelets and 14 necklaces?
(d) Should she display 39 bracelets and 1 necklace?
Consider the following elevation function for a region of irregular terrain:
z(x, y)
=
1
x² + y²
25
Here, z is the elevation of the terrain over a point (x, y) with x and y being the horizontal coordinates. The
region of interest lies between x = 0 and x = 5, and y 0 and y = 5.
Your tasks are the following:
=
1. Analyze how the elevation changes with respect to x and y. To find the elevation changes, calculate the
partial derivatives of the elevation function z with respect to x and
2. Calculate the total volume of soil above the 0-level (z
region of interest.
=
y.
0). To do so, integrate z(x, y) over the whole
A truck loaded with rocks weighs 14,260 lb. If the truck weighs 8420 lb, how much do the rocks weigh?
University Calculus: Early Transcendentals (4th Edition)
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