30 POINTS 3 MATH QUESTIONS HELP ASAP

Mathematics

1 answer:

Alexxandr [17]3 years ago

4 0

Answer:

what is the question

Step-by-step explanation:

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Find the difference or type<br> "impossible"

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Answer:

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A parallelogram has an area of 198 square cm.The base of the parallelogram is 18 cm.Find the height.Show your work

melomori [17]

Answer:

11 cm

Step-by-step explanation:

198/18=11 cm.

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3 years ago

If a the base on a logarithum is blank is it 1,0,or 10

anastassius [24]

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3 years ago

Find the maximum rate of change of f at the given point and the direction in which it occurs. f(p, q) = 8qe−p + 4pe−q, (0, 0) ma

Pachacha [2.7K]

Answer:

Step-by-step explanation:

$Given \ f (p,q) = 8qe^{-p} + 4pe^{-q} \ where \ P_o(0,0) \\ \text{thus the gradient of f is: } \\ \\ \bigtriangledown f(p,q) = \Big(\dfrac{\partial f}{\partial p}, \dfrac{\partial f}{\partial q} \Big) \\ \\ \dfrac{\partial f}{\partial p} = -8qe^{-p} + 4pe^{-q} \\ \\ \dfrac{\partial f}{\partial p} = 8qe^{-p} - 4pe^{-q} \\ \\ Then: \bigtriangledown f(p.q) = (-4qe^{-p}+ 8qe^{-q}, 4qe^{-p}- 8qe^{-q}) \\ \\ f(0,0) = (-4*(0)e^{-0}+ 8*(0)e^{-(0)}, 4*(0)e^{-(0)}- 8*(0)e^{-(0)}) \\ \\ = (0+8,4-0) = (8.4)$