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a) find dy/dx by differentiating implicitly. b) solve the equation for y as a function of x, and find dy/dx from that equation.c) Confirm that the two results are consistent by expressing the derivative in part (a) as a function of x alone.
Probability values.
The president of a small manufacturing firm has been concerned about continual growth in manufacturing cost over the past several years. the following is time series of the cost per unit(in dollars) for the firm's leading product over the past eig..
Determine the least squares regression line
The following random sample was selected from a normal distribution: 10, 12, 12, 15, 13, 15 & 16.Test the hypothesis that the true mean exceeds 12. [Use α =.01]
in a golf tournament aaron won the first prize of $163700&sean came second with $97330. what was the differance between the two prizes ? what would they each have won if they had tied?
Convergence and Divergence: find an infinite series of the given absolute function by using the fact give also estimate natural log of values by substitution
Random Variables and Probability -Sampling Without Replacement, Not all the selected light bulbs are defective.
Sketch the region enclosed between 2 - z = x2 + y2 and z2 = x2 + y2. Describe their curve of intersection
Assume that f(z) is analytic at the origin and f(0) = first derivative of f at 0 = 0. Prove that f(z) can be written in the form f(z) = [z^2]g(z), where g(z) is analytic at z = 0.
Apply Chi Square test of independence to test whether there exists any association between two variables.
An equilateral triangle has vertices at (0,0) and (6,0) in a coordinate plane. what are the coordinates of the third vertex?
Quantitative tools & techniques are basically important for improving the qualit of managerial decisions.examine the statement & discuss the role of quantittative techniques in planning & control of business activity.
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