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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.
Find the probabilities that the sample, drawn without replacement, contains the following, All blue balls, Exactly 2 black balls
Assuming you are the financial manager of a for-profit hospital, what is the hospital's cost of capital assuming that the hospital has the following capital structure on its Statement of Financial Position
Normal Probability: Diameter of Grapefruits. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 5.44 inches and a standard deviation of 0.41 inches.
Compute the empirical probability that the sum rolled is greater than 9, A pair of fair dice is rolled 50 times and the sum of the dots on the faces is noted.
Marginal and conditional density. A tobacco company produces blends of tobacco with each blend containing various proportions of Turkish, domestic and other tobacco.
Find a matrix A that admits no LU decomposition, even if we only require that L is lower triangular ( not necessarily unit!) and U is upper triangular.
Determine graphically using excel whether the equation could be possibly be an identity. If it can prove that it is. Here is an example of what I am working on at this time. Please explain how?
Numerical Concepts : Definitions, Please explain or define these concepts. 1. Natural number 2. Multiplication 3. Subtraction 4. Closure for addition
Suppose sunshine figures are independent identically distributed continuous random variables. Independent identically distributed continuous random variables
Real time application of perimeter of a circle. To evaluate the distance travelled using the number of rotations.
Let G be a group and H be a non-empty subset of G. We define H^2 as the set of elements of G which can be written in the form h_1 h_2, with h_1 ,h_2∈H.
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
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