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Recent questions in Multivariable functions

Tyra 2021-09-15

Solve the system of equation by the method of your choice.
$x^{2} + {(y - 9)}^{2} = 49$
$x^{2} - 7 y = - 14$

Annette Arroyo 2021-09-14

A salesperson earns $20 a day plus 10% commission on sales over $200. If her daily earnings are $25.40, how much money in merchandside did she sell?

CoormaBak9 2021-09-14

Solve the differential equation. (x and y are variables)
$(D^{2} + 4 D) y = 1 + 2 x + 3 x^{2}$

pancha3 2021-09-14

1. Given a complex valued function can be written as $f (z) = w = u (x, y) + i v (x, y)$ , where w is the real part of w and v is the imaginary part of v. Using algebraic manipulation figure out what wu and v is if
$f (z) = \overset{―}{z} (1 - e^{i (z + \overset{―}{z})})$
Here $\overset{―}{z}$ denotes the complex conjugate of z.
2. Using the concept of limits figure out what the second derivative of $f (z) = z (1 - z)$ is.
3. Use the theorems of Limits that have been discussed before to show that
$lim_{z \to 1 - i} [x + i (2 x + y)] = 1 + i . [Hint: Use z = x + i y]$

Braxton Pugh 2021-09-13

Suppose that the random variables X and Y have the joint p.d.f.
$f (x, y) = {\begin{cases} k x (x - y), 0 < x < 2 & , - x < y < x \\ 0 & , elsewhere \end{cases}$
(i) Evaluate the constant k.
(ii) Find the marinal p.d.f. of the two random variables

Brennan Flores 2021-09-13

Find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex fourth roots of $100 + 100 \sqrt{3} i$

Trent Carpenter 2021-09-13

A polynomial P is given.
$P (x) = x^{3} + 64$
a)Find all zeros of P , real and complex.(Enter your answers as a comma-separated list. Enter your answers as a comma-separated list.)
$x = ?$
b) Factor P completely.
$P (z) = ?$

snowlovelydayM 2021-09-13

Let $Y_{1}, Y_{2}, \dot{s}, Y_{n}$ be independent and identically distributed random variables such that for
$0 < p < 1, P (Y_{i} = 1) = p and P (Y_{i} = 0) = q = 1 - p$ (Such random variables are called Bernoulli random variables.)
(Maximum Likelihood Estimation ) Please construct the likelihood function for parameter p.
(Maximum Likelihood Estimation ) Please obtain the MLE estimator for p.

Marvin Mccormick 2021-09-13

In each of the following problems , use the information given to determine
a. $(f + g) (- 1)$
b. $(f - g) (- 1)$
c. $(f g) (- 1)$
d. $(\frac{f}{g}) (- 1)$
for the following functions,
$f = {(5, 2), (0, - 1), (- 1, 3), (- 2, 4)} and g = {(- 1, 3), (0, 5)}$
$f = {(3, 15), (2, - 1), (- 1, 1)} and g (x) = - 2$

Wotzdorfg 2021-09-12

Which of the following is true?
$\frac{d y}{d t} + \frac{y}{1 - t} = 3 t + 4$ is best solved with undetermined coefficients.
$\frac{d y}{d t} = \frac{t}{y - y t^{2}}$ is best solved with separation of variables.
$\frac{d y}{d t} = \frac{t}{y}$ is best solved with integrating factors.
$\frac{d y}{d t} = 2 y - \sin (5 t)$ is best solved with separation of variables.
$\frac{d y}{d t} = \frac{t}{y - y t^{2}}$ is best solved with undetermined coefficients.

pedzenekO 2021-09-12

If z and $\overset{―}{z}$ are conjugate complex numbers , find two complex numbers, $z = z_{1} and z = z_{2}$ , that satisfy the equation $3 z \overset{―}{z} + 2 (z - \overset{―}{z}) = 39 + j 12$

snowlovelydayM 2021-09-12

Simplify $\frac{4 c + 16}{5 c} \div \frac{c + 4}{15 c^{3}}$ and state any restrictions on the variables.

York 2021-09-12

Plot each complex number. Then write the complex number in polar form. You may express the argument in degrees or radians.
57. $1 - i$
58. $- 2 \sqrt{3} + 2 i$
59. $- 3 - 4 i$

Maiclubk 2021-09-12

Find the indefinite integral by making a change of variables.
$\int x^{2} \sqrt{1 - x} d x$

Kye 2021-09-11

The random variables X and Y have joint density function
$f (x, y) = \frac{2}{3} (x + 2 y), 0 \leq x \leq 1, 0 \leq y \leq 1$
Find the marginal density functions of X and Y.
$f_{X} (x) = ?$
$f_{Y} (y) = ?$
Are X and Y statistically independent random variables?

Suman Cole 2021-09-11

Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw them in the complex plane. Hint: For some of the equations , to get n roots you must use $a^{3} + b^{3} = (a + b) (a^{2} - a b + b^{2})$ and $a^{3} - b^{3} = (a - b) (a^{2} + a b + b^{2})$
$x^{6} - 1 = 0$

tabita57i 2021-09-11

A value of r close to −1 suggests a strong _______ linear relationship between the variables.

Cabiolab 2021-09-11

Solve the differential equation ..(b and a are variables)
$(D^{2} + 4 D + 3) b = 1 + 2 a + 3 a^{2}$

postillan4 2021-09-11

Write down the definition of the complex conjugate, $\overset{―}{z},if z = x + i y$ where z,y are real numbers. Hence prove that, for any complex numbers w and z,
$\overset{―}{w \overset{―}{z}} = \overset{―}{w} z$

aflacatn 2021-09-10

A real estate office handles a 60-unit apartment complex. When the rent is $530 per month, all units are occupied. For each $40 increase in rent, however, an average of one unit becomes vacant. Each occupied unit requires an average of $65 per month for service and repairs. What rent should be charged to obtain a maximum profit?

The multivariable function is related to regression analysis, which may be a bit challenging for college students as they implement estimation for the various data sets. Keeping all these challenges in mind, we aim to provide you with the answers to the most popular problems and questions where a helpful multivariable function example will be of help. You should also focus on each multivariable question by starting with analysis and proper calculation of each variable as you exchange various practical sets. The purpose is to remove the constraints of single variables as you add any calculations.

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