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Komok [63]
3 years ago
6

Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured

in meters, and you are standing at a point with coordinates (100, 120, 1106). The positive x-axis points east and the positive y-axis points north. (a) If you walk due south, will you start to ascend or descend? ascend descend
Mathematics
1 answer:
Lisa [10]3 years ago
4 0

Answer:

a) "ascend"

Step-by-step explanation:

a)

The equation is  z = 1300-0.005x^2-0.01y^2

This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]

So, this is the negative of partial derivative of y. Thus we have:

z = 1300-0.005x^2-0.01y^2\\z_y=-0.02y

Now we are at (100,120,1106), we take y value of 120 and put it in the partial:

z_y=-0.02y\\z_y=-0.02(120)\\z_y=-2.4

We take the negative, that is -(-2.4) = 2.4

Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.

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Find Ms. Buggie's mistake in the following problem. Then, give what the correct answer should be.
sdas [7]

Answer:

Mrs. Buggie should have Subtracted 13 instead of adding 13

LKA = 94°

Step-by-step explanation:

Lets work backwards from the equation so far:

40 = x+ 13

x + 13 = 40

We should subtract 13 because we are adding a number and 13 to 40

Imagine this:

You have 5 apples, but you bought some more and now you have 10

equation would be:

5+x = 10

subtract 5 from 10 to get 5

So you bought 5 apples

Back to the Question:

40 - 13 = 27

3(27) + 13 = 81+13 = 94°

Answer = 94°

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Remember the equation to find the circumference?

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