 # Multivariable function questions and answers

Recent questions in Multivariable functions Emily-Jane Bray 2021-09-09 Answered

### Solve for G.S. / P.S. for the following differential equations using separation of variables. $$\displaystyle{\left({e}^{{{4}{t}}}+{9}\right)}{y}'={y}$$ Caelan 2021-09-09 Answered

### 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. Ramsey 2021-09-09 Answered

### The stronger the relationship between the two variables, the closer the correlation coefficient is to ___ Jason Farmer 2021-09-09 Answered

### We have the following information about the random variables X and Y: $$\displaystyle\mu_{{X}}={0.5},\mu_{{Y}}=-{1},{\sigma_{{X}}^{{2}}}={1},{\sigma_{{Y}}^{{2}}}={2.25}$$ Calculate the variance of Z=-1X+7Y, a) when the coefficient of correlation is $$\displaystyle\rho{\left({X},{Y}\right)}={0.33}$$ $$\displaystyle{\sigma_{{Z}}^{{2}}}=?$$ b) when X and Y are independent random variables: $$\displaystyle{\sigma_{{Z}}^{{2}}}=?$$ Maiclubk 2021-09-09 Answered

### 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 _______ Zoe Oneal 2021-09-09 Answered

### Differential Equation: Separation of variables. Show a complete solution. Solve the differential equation using Separation of variables: $$\displaystyle\sqrt{{{1}-{y}^{{2}}}}{\left.{d}{x}\right.}-\sqrt{{{1}-{x}^{{2}}}}{\left.{d}{y}\right.}={0}.{y}{\left({0}\right)}={\frac{{\sqrt{{3}}}}{{{2}}}}$$ Wotzdorfg 2021-09-09 Answered

### Solve using separation of variables: $$y'-xy+y=2y$$ Dottie Parra 2021-09-09 Answered

### Use the Chain Rule to find $$\displaystyle{\frac{{{d}{w}}}{{{\left.{d}{t}\right.}}}}$$, where $$\displaystyle{w}={\sin{{8}}}{x}{\cos{{2}}}{y},{x}={\frac{{{t}}}{{{2}}}}\ \text{ and }\ {y}={t}^{{4}}$$ $$\displaystyle{\frac{{{d}{w}}}{{{\left.{d}{x}\right.}}}}$$ (Type an expression using x and y as the variables) $$\displaystyle{\frac{{{d}{w}}}{{{\left.{d}{y}\right.}}}}$$ (Type an expression using x and y as the variables) $$\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}}$$ (Type an expression using t as the variable ) $$\displaystyle{\frac{{{d}{w}}}{{{\left.{d}{t}\right.}}}}$$ (Type an expression using t as the variable ) arenceabigns 2021-09-08 Answered

### Evaluate the algebraic expressions for the given values of the variables. $$\displaystyle{\left({x}-{y}\right)}^{{2}},{x}={5}\ \text{ and }\ {y}=-{3}$$ BolkowN 2021-09-08 Answered

### Define variables, write systems of equations, write coefficient matrix, the B matrix and the solution matrix, x $$\displaystyle{A}={[]},{B}={[]},{X}={[]}$$ DofotheroU 2021-09-08 Answered

### Solve for G.S. / P.S. for the following differential equations using separation of variables. $$\displaystyle{2}{{\sin}^{{2}}{2}}{t}{\left.{d}{x}\right.}={\cos{{x}}}{\left({1}+{\cos{{2}}}{x}\right)}{\left.{d}{t}\right.}$$ ddaeeric 2021-09-08 Answered

### 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 Answered

### 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. $$\displaystyle{P}{\left({x}\right)}=-{12}{x}^{{2}}+{2136}{x}-{41000}$$ To maximize the monthly rental profit , how many units should be rented out? What is the maximum monthly profit realizable? BolkowN 2021-09-08 Answered

### 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. $$x(2-2x)=3$$ ankarskogC 2021-09-08 Answered

### Is the complex number $$\displaystyle{z}={e}^{{2}}{e}^{{{1}+{i}\pi}}$$ 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. he298c 2021-09-07 Answered

### learning features of expeirmental research in my research methods course Why is randomization the best method for dealing with extraneous variables? Tabansi 2021-09-07 Answered

### Find the indefinite integral by making a change of variables $$\displaystyle\int{x}\sqrt{{{\left({3}{x}-{4}\right)}}}{\left.{d}{x}\right.}$$ Ramsey 2021-09-07 Answered

### If $$\displaystyle{U}_{{1}},\dots{{}},{U}_{{n}}$$ are independent uniform random variables, find $$\displaystyle{E}{\left({U}_{{{\left({n}\right)}}}-{U}_{{{\left({1}\right)}}}\right)}$$ Reeves 2021-09-07 Answered

### How to solve the ordinary differential equation using separation of variables? $$\displaystyle{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{t}\right.}}}}={\frac{{{y}+{1}}}{{{t}+{1}}}}$$ Aneeka Hunt 2021-09-07 Answered

### 4.3-16. Two random variables X and Y have a joint density $$\displaystyle{{f}_{{{x},{y}}}{\left({x},{y}\right)}}={\frac{{{10}}}{{{4}}}}{\left[{u}{\left({x}\right)}-{u}{\left({x}-{4}\right)}\right]}{u}{\left({y}\right)}{y}^{{3}}{\exp{{\left[-{\left({x}+{1}\right)}{y}^{{2}}\right]}}}$$ Find the marginal densities and distributions of X and Y.

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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