Multivariable Function Questions is Here

Recent questions in Multivariable functions

beljuA 2021-09-10

First determine whether the solutions of the quadratic equation real or complex without solving the equation. Then solve the equation.
$3 x^{2} - 4 x - 15 = 0$
Determine whether the solutions of the quaratic equation are real or complex without solving the equation.

foass77W 2021-09-10

Consider the system $\dot{x} = x - y, \dot{y} = x + y$
a) Write the system in matrix form and find the eigenvalues and eigenvectors (Note: they will be complex valued)
b) Write down the general solution for the system of differential equations using only real valued functions. [Hint : use the equality $e^{i ω t} = \cos (ω t) + i \sin (ω t)$ ]

ddaeeric 2021-09-10

$\frac{d y}{d x} = x \sqrt{1 - y^{2}}$ solve by seperation of variables.

Daniaal Sanchez 2021-09-09

Let z be any complex number in polar form with $0 \leq θ < 2 π$ . Use $z = r e^{i θ}$ to define the logarithm of a complex number.
(a)Find $\ln (- 1)$
(b)Find $\ln (i)$

Dottie Parra 2021-09-09

Use the Chain Rule to find $\frac{d w}{d t}$ , where $w = \sin 8 x \cos 2 y, x = \frac{t}{2} and y = t^{4}$
$\frac{d w}{d x}$
(Type an expression using x and y as the variables)
$\frac{d w}{d y}$
(Type an expression using x and y as the variables)
$\frac{d y}{d t}$
(Type an expression using t as the variable )
$\frac{d w}{d t}$
(Type an expression using t as the variable )

Emily-Jane Bray 2021-09-09

Solve for G.S. / P.S. for the following differential equations using separation of variables.
$(e^{4 t} + 9) y^{'} = y$

Wotzdorfg 2021-09-09

Solve using separation of variables:
$y^{'} - x y + y = 2 y$

Caelan 2021-09-09

Imagine that there is a correlation of r = 0.65 between variable X and variable Y. Based on the correlation between these two variables (and only these two variables), what is a person's predicted value on variable Y, when his X value on variable X is a z score of 1.5? Please provide your answer as a z score with a minimum of three decimal places.

Zoe Oneal 2021-09-09

Differential Equation: Separation of variables. Show a complete solution.
Solve the differential equation using Separation of variables:
$\sqrt{1 - y^{2}} d x - \sqrt{1 - x^{2}} d y = 0 . y (0) = \frac{\sqrt{3}}{2}$

Maiclubk 2021-09-09

FILL IN THE BLANKS(EXPLAIN IN ONE OR TWO LINES)
imagine that the true number of variables should be included in a logistic regression model is 7 out of ten variables available .
then , in order to find the optimal model with 7 variables , the number of varaibels included in the training should be higher than _______

Jason Farmer 2021-09-09

We have the following information about the random variables X and Y:
$μ_{X} = 0.5, μ_{Y} = - 1, σ_{X}^{2} = 1, σ_{Y}^{2} = 2.25$
Calculate the variance of Z=-1X+7Y,
a) when the coefficient of correlation is $ρ (X, Y) = 0.33$
$σ_{Z}^{2} = ?$
b) when X and Y are independent random variables:
$σ_{Z}^{2} = ?$

Ramsey 2021-09-09

The stronger the relationship between the two variables, the closer the correlation coefficient is to ___

CMIIh 2021-09-08

We expect that students who do well on the midterm exam in a course will usually also do well on the final exam. Gary Smith of Pomona College looked at the exam scores of all 346 students who took his statistics class over a 10-year period. Assume that both the midterm and final exam were scored out of 100 points. The actual least-squares line for predicting final-exam score y from midterm-exam score x was
$\hat{y} = 46.6 + 0.41 x$
Predict the score of a student who scored 50 on the midterm and a student who scored 100 on the midterm.

arenceabigns 2021-09-08

Evaluate the algebraic expressions for the given values of the variables.
${(x - y)}^{2}, x = 5 and y = - 3$

BolkowN 2021-09-08

Define variables, write systems of equations, write coefficient matrix, the B matrix and the solution matrix, x
$A = [], B = [], X = []$

DofotheroU 2021-09-08

Solve for G.S. / P.S. for the following differential equations using separation of variables.
$2 \sin^{2} 2 t d x = \cos x (1 + \cos 2 x) d t$

ddaeeric 2021-09-08

Write an equation describing the relationship of the given variables.
y varies directly as the fourth power of x and when $x = 3, y = 648$

Bergen 2021-09-08

There are 100 two-bedroom apartments in the apartment building Lynbrook West.. The montly profit (in dollars) realized from renting out x apartments is given by the following function.
$P (x) = - 12 x^{2} + 2136 x - 41000$
How many units should be rented out in order to optimize the monthly rental profit?
What is the maximum monthly profit realizable?

BolkowN 2021-09-08

Solve the following equations. Give exact simplified values and decimal approximations to three decimal places , as appropriate. Solutions may be complex , and complex solutions must be written in standard form.
$x (2 - 2 x) = 3$

ankarskogC 2021-09-08

Is the complex number $z = e^{2} e^{1 + i π}$ pure imaginary? Is it real pure?
Write its imaginary part, its real part, its module and argument. Write its complex conjugate.
Calculate and write the result in binomial form.

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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