Write a multivariable function (i.e z=f(x,y)) for a linear function that contains the points (−1,0),(0,2),(1,−1). Ive

Fallbasiss4
2022-01-25
Answered

Write a multivariable function (i.e z=f(x,y)) for a linear function that contains the points (−1,0),(0,2),(1,−1). Ive

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chukizosv

Answered 2022-01-26
Author has **8** answers

The general form of a linear function of two variables is given by

$f(x,y)=Ax+By+C$

Plugging in the points you were given should give you three equations in the three unknowns$(A,B,C)$ , which you can then solve.

Plugging in the points you were given should give you three equations in the three unknowns

asked 2021-09-08

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.

$P\left(x\right)=-12{x}^{2}+2136x-41000$

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?

asked 2021-02-05

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.]
$\underset{(x,y)\to (0,0)}{lim}\frac{{x}^{2}-{y}^{2}}{\sqrt{{x}^{2}+{y}^{2}}}$

asked 2021-12-10

INVESTMENT ANALYSIS Paul Hunt is considering two business ventures. The anticipated returns (in thousands of dollars) of each venture are described by the following probability distributions:

$$\overline{)\begin{array}{cc}Venture\text{}A& \\ Earnings& Probability\\ -20& 3\\ 50& 4\\ 50& 3\end{array}}$$

$$\overline{)\begin{array}{cc}Venture\text{}B& \\ Earnings& Probability\\ -15& 2\\ 30& 5\\ 40& 3\end{array}}$$

a. Compute the mean and variance for each venture.

b. Which investment would provide Paul with the higher expected return (the greater mean)?

c. In which investment would the element of risk be less (that is, which probability distribution has the smaller variance)?

a. Compute the mean and variance for each venture.

b. Which investment would provide Paul with the higher expected return (the greater mean)?

c. In which investment would the element of risk be less (that is, which probability distribution has the smaller variance)?

asked 2021-11-16

Find the variance/covariance matriz for the following data set

$$\begin{array}{|cccc|}\hline Student& Algebra& Combinatorics& Analysis\\ 1& 90& 80& 90\\ 2& 30& 60& 30\\ 3& 60& 60& 50\\ 4& 90& 60& 30\\ 5& 40& 70& 40\\ \hline\end{array}$$

asked 2022-05-03

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

asked 2022-01-25

My task is to find the critical points of this multivariable function (Determine the set of critical points of the function). Now I found the partial derivative to be

Wolfram Alpha says the critical point(s) is/are at

asked 2021-11-23

Graph the sets of points whose polar coordinates satisfy the given polar equation.

The given polar equation is written as follows:

$\frac{\pi}{4}\le \theta \le \frac{3\pi}{4},0\le r\le 1$

The given polar equation is written as follows: