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Find dy/dx by implicit differentiation.
1. (2x+3y)^1/3 = x^2
2. x^2y^1/2 = x + 2y^3
3. The demand function for a certain make of ink jet cartridge is
p= -0.01x^2 - 0.1x + 6
where p is the unit price in dollars and x is the quantity demanded each week, measure in units of a thousand. Compute the elasticity of demand and determine whether the demand is elastic, inelastic, or unitary at x =10.
Write a linear-time Boolean function HEAP(T:BINARY_TREE) which returns TRUE is T is a heap, i.e., it is partially ordered. Assume that T is represented using pointers to left and right children.
I have found the number of deaths in the United States due to each medical condition in each of the following years.
One month ago the ratio of nurses to doctors on a hospital staff was 3:5. Since that time two additional nurses joined the staff, no nurses left & the number of doctors remained the same. Find the ratio of nurses to doctors.
Find the probability of Type I error
Two rainstorms occurred in one week in a certain area. In the first storm 25ml of rain fell per hour, and in the second storm 20ml of rain fell per hour. Rain fell that week for a total of 75 hours for a total rainfall of 1700ml.
Long Term Interest of Stockholders, Which of the following goals is in the best long-term interest of stockholders?
Two balls are drawn (without replacement) from an urn that contains four red balls, five green balls, and seven white balls
Calculate the mean, variance, and standard deviation of this distribution.
How is the solution affected if the constraints are changed to y(0) = 0 and y'(0) = 1 ? What is the special about this case?
Describe Important information about Queuing Theory. Compute the operating characteristics for the drive-through window queuing system.
Let K be a normal subgroup of G, and both K and G/K are simple. Show that either K is the only nontrivial proper subgroup of G, OR G is isomorphic to K x (G/K).
Construct a tree diagram to represent this sitution. List the sample space. Determine the exact probability of creating a min license plate with a J. solution should be in reduce fraction form
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