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Ad libitum [116K]
3 years ago
6

Find the limit of f(x,y ) → (0,0) or show that the limit does not exist. Consider converting the function to polar coordinates t

o make finding the limit easier.
f(x,y)= (x^3-xy^2)/(x^2+y^2)
Mathematics
1 answer:
Vladimir79 [104]3 years ago
7 0
7272736463636367337277272727727273737373737374737
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Please help ill give brainliest
Naddik [55]
I think it’s option a
8 0
3 years ago
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
harkovskaia [24]

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0
4 years ago
Determine the values of the variables in isosceles trapezoid CHLE below.
Alex73 [517]

Answer:

The values of variables x and m are 11 and 17

Step-by-step explanation:

The question has missing details as the diagram of the trapezoid isn't attached.

(See attachment).

Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)

And

The angles at the top are also equal

8m = 11x + 15

At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..

The sum of interior= 360

So,

11x + 15 + 8m + 4x + 4x = 360

Collect like terms

11x + 4x + 4x + 8m = 360 - 15

19x + 8m = 345

Substitute 11x + 15 for 8m

19x + 11x + 15 = 345

30x + 15 = 345

30x = 345 - 15

30x = 330

Divide through by 30

30x/30 = 330/30

x = 11

Recall that 8m = 11x + 15;

8m = 11(11) + 15

8m = 121 + 15

8m = 136

Divide through by 8

8m/8 = 136/8

m = 17

Hence, the values of variables x and m are 11 and 17

7 0
3 years ago
Use an equivalent rate to convert 3 quarts to pints.​
Nat2105 [25]

Answer:

6

Step-by-step explanation:

3 quarts=6 pints

6 0
3 years ago
Ahmed bought a car for $5000 which is the 80% of the original price of the car. Calculate the original price of the car.
WITCHER [35]

Answer:

$6250

Step-by-step explanation:

5000 = 80%

5000/80=62.5

62.5*100=6250

8 0
3 years ago
Read 2 more answers
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