Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).f(x, y) = 
What will be an ideal response?
Answers will vary. One possibility is Path 1: x = t, y = t ; Path 2: x = t, y = 2t
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In a certain lake the intensity of light from the surface decreases by 40% for each additional meter of depth.
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A: Explain why light intensity is an exponential function of depth.
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B: Using for intensity at the surface of the lake, write a formula that gives the intensity I of light ?d meters below the surface.
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C: At what depth will light intensity be one tenth of surface intensity? Round your answer to two decimal places if necessary.
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What will be an ideal response?
Use the ratio test to determine if the series converges or diverges.
A. Converges B. Diverges
Write the word name for the number.3072
A. Three thousand, seventy-two B. Three hundred thousand, seventy-two C. Three million, seventy-two D. Thirty thousand, seventy-two
Solve the problem.To train for a race, Will begins by jogging 14 minutes one day per week. He increases his jogging time by 4 minutes each week. Write the general term of this arithmetic sequence, and find how many whole weeks it takes for him to reach a jogging time of one hour.
A. an = 4n + 10; 12 weeks B. an = 4n + 14; 12 weeks C. an = 4n + 14; 13 weeks D. an = 4n + 10; 13 weeks