Isa Trevino
2020-10-18
Answered

What tis the complete domain D and range R of the following multivariable functions:
$w(x,y)=\frac{1}{x(y-1)}$

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un4t5o4v

Answered 2020-10-19
Author has **105** answers

denominator for rational function

So,

Thus,

The multivariable function

But oo is not included in the domain.

Thus, 0 is excluded from the range for

Hence ,

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Use polar coordinates to find the limit. [Hint: Let $x=r\mathrm{cos}{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}y=r\mathrm{sin}$ , and note that (x, y) (0, 0) implies r 0.]
$\underset{(x,y)\to (0,0)}{lim}\frac{{x}^{2}-{y}^{2}}{\sqrt{{x}^{2}+{y}^{2}}}$

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Lynbrook West , an apartment complex , has 100 two-bedroom units. The montly profit (in dollars) realized from renting out x apartments is given by the following function.

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To maximize the monthly rental profit , how many units should be rented out?

What is the maximum monthly profit realizable?

To maximize the monthly rental profit , how many units should be rented out?

What is the maximum monthly profit realizable?

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Find the complex zeros of the following polynomial function. Write f in factored form.

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The complex zeros of f are ?

The complex zeros of f are ?

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Find the indefinite integral by making a change of variables.

$\int {x}^{2}\sqrt{1-x}dx$

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As Mark Ellon is getting ready for a meeting, the room goes dark. He fishes for a green shirt in his drawer. He wears only blue, green and white colors. His drawers have identical shirts in these colors: 28 blue, 25 green, and 13 white shirts. How many shirts did he throw on the floor to be a cent percent sure that he has a taken out a green shirt?

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Second derivatives For the following sets of variables, find all the relevant second derivatives. In all cases, first find general expressions for the second derivatives and then substitute variables at the last step.

$f(x,y)={x}^{2}y-x{y}^{2}\text{}\text{,where}\text{}x=st\text{}\text{and}\text{}y=\frac{s}{t}$

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Solve for w: 0=-7w+5x-3.