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Lena [83]
3 years ago
9

How to find the rate of change of the inputs

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

To find the average rate of change, we divide the change in the output value by the change in the input value.

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14. Consider the function f(x, y) = yx^4 * e^x². Find fxyxyx (x, y).​
Alex787 [66]

The second partial derivatives of f exist everywhere in its domain. By Schwarz's theorem, the mixed second-order partials derivatives are equal:

f_{xy} = f_{yx}

Then

f(x,y) = y x^4 e^{x^2} \\\\ \implies f_y = x^4 e^{x^2} \\\\ \implies f_{yx} = f_{xy} = g(x) \\\\ \implies f_{xyx} = g'(x) \\\\ \implies f_{xyxy} = 0 \\\\ \implies f_{xyxyx} = \boxed{0}

We don't actually need to compute g and g' to know that they are both free of y. So when we differentiate for a second time with respect to y, the whole thing cancels out.

5 0
2 years ago
If X = 5 units, then what is the volume of the cube shown above?
Ivenika [448]

Answer:

125 square units

Step-by-step explanation:

Since it's a cube, all sides are equal. So 5 x 5= 25 x 5= 125. Hope this helps!

8 0
3 years ago
What is the slope of the line that passes through points (0, 7) and (−3, 0)?
postnew [5]
M= y2-y1 / x2-x1
M= 0-7 / -3-0
M= -7/-3
M= 7/3 (because it’s a double negative)

Hope this helps!!
5 0
3 years ago
Melissa and alondra shared $72 in the ratio of 3:5. What is melissas share if the money? What is alondras share of the money
Lunna [17]

3:5

3+5 =8

72/8 = 9

9*3 = 27

9*5 =45

Melissa had $27

Alondra had $45

7 0
3 years ago
What is 3 divided 162
dmitriy555 [2]

Answer:

0.185185185185185185.........

Step-by-step explanation:

i used a  calculator, to the nearst tenth is 0.18 to the nearest 100th is 0.185 also the 185 is repeating so u put a line over the numbers 185

4 0
3 years ago
Read 2 more answers
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