Multivariable Calculus Examples: Learn Complex Calculus Problems

College
Calculus and Analysis
Multivariable calculus

Recent questions in Multivariable calculus

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 $x = 3, y = 648$

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.
$2 \sin^{2} 2 t d x = \cos x (1 + \cos 2 x) d t$

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?

Ramsey 2021-09-07

Determine an elliptic cylinder such that the length of its major axis length is 5/3 times of its minor axis. Find the complex potential , F(z) , and complex velocity, W(z) , for a uniform flow stream (at zero angle of attack) past the cylinder without circulation. You can use a=1 , and U=20 for your baseline flow parameters.

Marvin Mccormick 2021-09-07

Which interval is wider: (a) the 95% confidence interval for the conditional mean of the response variable at a particular set of values of the predictor variables or (b) the 95% prediction interval for the response variable at the same set of values of the predictor variables?

Aneeka Hunt 2021-09-07

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

glamrockqueen7 2021-09-07

Find the complex zeros of the following polynomial function. Write f in factored form.
$x^{4} + 2 x^{3} + 22 x^{2} + 50 x - 75$
The complex zeros of f are ?
Use the complex zeros to factor f.

Reeves 2021-09-07

How to solve the ordinary differential equation using separation of variables?
$\frac{d y}{d t} = \frac{y + 1}{t + 1}$

Ramsey 2021-09-07

If $U_{1}, \dots, U_{n}$ are independent uniform random variables, find $E (U_{(n)} - U_{(1)})$

Cheyanne Leigh 2021-09-07

Finding the Square Roots of a Complex Number In Exercises 31–38, find the square roots of the complex number.
31. 2i

Tabansi 2021-09-07

Find the indefinite integral by making a change of variables
$\int x \sqrt{(3 x - 4)} d x$

sibuzwaW 2021-09-07

Use the discriminant to determine whether the quadratic equation has two equal real number solutions, two unequal real number solutions, or two complex number solutions.
$9 z^{2} - 6 z + 1 = 0$
two equal real number solutionstwo unequal real number solutions two complex number solutions

e1s2kat26 2021-09-07

Differentials with more than two variables Write the differential dw in terms of the differentials of the independent variables.
$w = f (x, y, z) = \sin (x + y - z)$

he298c 2021-09-07

learning features of expeirmental research in my research methods course
Why is randomization the best method for dealing with extraneous variables?

Chaya Galloway 2021-09-06

For each of the systems of equations that follow, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.
$2 x_{1} - 3 x_{2} = 5$
$- 4 x_{1} + 6 x_{2} = 8$

Nannie Mack 2021-09-06

Let $(X_{1}, X_{2})$ be two independent standard normal random variables. Compute
$E [\sqrt{X_{1}^{2} + X_{2}^{2}}]$

facas9 2021-09-06

Simplify all fractions!
$3^{- 4} = ?$
$x^{- 6} = ?$
$\frac{16 x^{- 10}}{2 x^{- 2}} = ?$

As you start exploring calculus and analysis, you will encounter multivariable calculus equations that are self-explanatory as well because all of them will contain at least two questions related to each variable being involved. See our multivariable calculus examples to receive more help and information regarding how these are used. The answers to solving these multivariable calculus questions should be based on finding the deterministic behavior. These are used in engineering and those fields where the parametric equations solver will provide you an optimal control of time dynamic systems. As an interesting subject, applying at least one equation in practice will keep you inspired!

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