Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Exercise 2 Once again, consider the above contour diagram. a) Estimate the direction of Vf (1,1). b) Estimate the magnitude IIVf (1,1) II. c) What

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed
Exercise 2 Once again, consider the above contour diagram. a) Estimate the direction of Vf (1,1). b) Estimate the magnitude IIVf (1,1) II. c) What does your answer to part b) mean? That is, what does the number measure? d) Which is bigger: ||Vf(1,1.5)|| or I|Vf(1,1)||? Explain. Exercise 5 Let f (x, y) = xzy + 3y.c) Is f increasing or decreasing as you leave (2, l) and head towards (1, 3)? Explain. Exercise 8 Chemotaxis is the chemically-directed movement of organisms up a concentration gradient. The slime mold Dz'cryostelium discoideum exhibits this phenomenon. In this case, single-celled amoeba of this species move up the concentration gradient of a chemical called AMP. Suppose the concentration of cyclic AMP at the point (x, y) in the xy-plane is given by 1706.3!) = W + 1- a) If you place an amoeba at the point (3, l) in the xy-plane, determine the direction in which the amoeba moves if its movement is directed by chemotaxis. b) If the amoeba were to move from (3, 1) towards the point (5, 3), would the concentration of AMP increase or decrease? Explain

Step by Step Solution

There are 3 Steps involved in it

Step: 1

blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image

Step: 3

blur-text-image

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

The Fascinating World Of Graph Theory

Authors: Arthur Benjamin, Gary Chartrand, Ping Zhang

1st Edition

1400852005, 9781400852000

More Books

Students also viewed these Mathematics questions

Question

How is a bivariate outlier identified in a scatterplot?

Answered: 1 week ago

Question

Distinguish between operating mergers and financial mergers.

Answered: 1 week ago