Mathematics, 21.03.2020 05:34 hePandaKing3750
(1 point) In this problem we show that the function f(x, y)=7x−yx+y f(x, y)=7x−yx+y does not have a limit as (x, y)→(0,0)(x, y)→(0,0). (a) Suppose that we consider (x, y)→(0,0)(x, y)→(0,0) along the curve y=3xy=3x. Find the limit in this case: lim(x,3x)→(0,0)7x−yx+y=lim(x,3x)→(0 ,0)7x−yx+y= (b) Now consider (x, y)→(0,0)(x, y)→(0,0) along the curve y=4xy=4x. Find the limit in this case: lim(x,4x)→(0,0)7x−yx+y=lim(x,4x)→(0 ,0)7x−yx+y= (c) Note that the results from (a) and (b) indicate that ff has no limit as (x, y)→(0,0)(x, y)→(0,0) (be sure you can explain why!). To show this more generally, consider (x, y)→(0,0)(x, y)→(0,0) along the curve y=mxy=mx, for arbitrary mm. Find the limit in this case: lim(x, mx)→(0,0)7x−yx+y=lim(x, mx)→(0,0)7x−yx+y= (Be sure that you can explain how this result also indicates that ff has no limit as (x, y)→(0,0)(x, y)→(0,0).
Answers: 3
Mathematics, 21.06.2019 19:00
Analyze the graph of the cube root function shown on the right to determine the transformations of the parent function. then, determine the values of a, h, and k in the general equation. y=a3x-h+k h= . k= done 000000l o 7 of 8
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Mathematics, 21.06.2019 20:00
Afrequency table of grades has five classes (a, b, c, d, f) with frequencies of 3, 13, 14, 5, and 3 respectively. using percentages, what are the relative frequencies of the five classes?
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Mathematics, 22.06.2019 03:00
Describe a situation where it would be beneficial to round decimals to the nearest dollar. explain why you would use rounding in that situation.
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(1 point) In this problem we show that the function f(x, y)=7x−yx+y f(x, y)=7x−yx+y does not have a...
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