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A scientist is growing bacteria in her lab. She finds that the number of bacteria per microliter in her sample can be described by the following function:
f ( t ) = 300 + 150 t 2
Here, t is measured in hours after the start of the experiment.
What is the average growth rate of her sample between hours 20 and 22 of her experiment?
What is the growth rate of her sample at hour 22 of her experiment?
At what rate is the growth rate changing at this time?
If you could explain how you got your answers, that would be great.
A sample of 300 is taken and the sample mean is computed to be 7.65 and the sample standard deviation is 5. Assume the data is ratio level.
Find an equation of the tangent plane to the surface z = ex^2-y^2, at the point(1, -1, 1). Determine whether the function is a solution of Laplaces equation uxx uyy =0. u= ln(x2 - y2) + 2 tan-l(y/x).
Find the classes and the limiting probabilities of the Markova chain transition probability matrix.
Prove that, if |G| = 30, either K a 5-Sylow or H a 3-Sylow will be normal.
Using the internet, find a website where a linear equation is used. Using that website as a source, write a ¾ - 1 page essay response in which you discuss how the equation was used, if it was used correctly, and what solutions to the equation mean..
Write the complex number in rectangular form. 7(cos120degrees + i sin120degrees) =
The goal of this problem is to investigate parametric equations, plane curves and implicit/explicit formsof surfaces and curves.
1. Consider the following transportation problem:
question find the augmented matrix for the following system of linear equations2x 9y 22z 536x 26y 63z 1517x 28y
Find the approximations T10, M10, and S10 for 0∫π 38 sinx dx. Find the corresponding errors ET, EM, and ES. How large do we have to choose n so that the approximations Tn, Mn, and Sn to the integral in part (a).
A company's CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.
A company installs 5,000 light bulbs, each with an average life of 500 hours, standard deviation of 100 hours, and distribution approximated by a normal curve
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