Answered: Explain why every saddle point is both…

Math

Calculus

Explain why every saddle point is both a stationary point and a critical point.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Let A and B represent two variants (alleles) of the DNA at a certain locus on the genome. Assume that 40% of all the alleles in a certain population are type A and 30% are type B. The locus is said to be in Hardy-Weinberg equilibrium if the proportion of organisms that are of type AB is (0.40)(0.30) = 0.12. In a sample of 300 organisms, 43 are of type AB. Can you conclude that this locus is not in Hardy- Weinberg equilibrium? Find the P-value and state a conclusion. Round the answer to four decimal places. The P-value is We (Click to select) conclude that the locus is not in Hardy-Weinberg equilibrium.
Let A and B represent two variants (alleles) of the DNA at a certain locus on the genome. Let p represent the proportion of alleles in a population that are of type A, and let q represent the proportion of alleles that are of type B. The Hardy–Weinberg equilibrium principle states that the proportion PAB of organisms that are of type AB is equal to pq. In a population survey of a particular species, the proportion of alleles of type A is estimated to be 0.360 ± 0.048 and the proportion of alleles of type B is independently estimated to be 0.250 ± 0.043. a) Estimate the proportion of organisms that are of type AB, and find the uncertainty in the estimate. b) Find the relative uncertainty in the estimated proportion. c) Which would provide a greater reduction in the uncertainty in the proportion: reducing the uncertainty in the type A proportion to 0.02 or reducing the uncertainty in the type B proportion to 0.02?
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Now suppose that Maine lobsters can be sold in France. The French demand schedule for Maine lobsters is as follows: Quantity of lobster supplied (pounds) Price of lobster (per pound) $25 100 20 300 15 500 10 700 900 b. What is the demand schedule for Maine lobsters now that French consumers can also buy them? Draw a supply and demand diagram that illus- trates the new equilibrium price and quantity of lobsters. What will happen to the price at which fishermen can sell lobster? What will happen to the price paid by U.S. consumers? What will happen to the quantity consumed by U.S. consumers?
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