Multivariable Function Questions is Here

Recent questions in Multivariable functions

Yasmin 2021-06-03

Let f1,…,fr be complex polynomials in the variables x1,…,xn let V be the variety of their common zeros, and let I be the ideal of the polynomial ring $R = C [x 1, \dots, x n]$ that they generate. Define a homomorphism from the quotient ring $\overset{―}{R} = R x 2 F$ ; I to the ring RR of continuous, complex-valued functions on V.

nagasenaz 2021-03-18

Write formulas for the indicated partial derivatives for the multivariable function.
$f (x, y) = 7 x^{2} + 9 x y + 4 y^{3}$
a) $\frac{\partial f}{\partial x}$
b) $\frac{\partial f}{\partial y}$
c) $\frac{\partial f}{\partial x} ∣_{y = 9}$

Sinead Mcgee 2021-03-02

COnsider the multivariable function $g (x, y) = x^{2} - 3 y^{4} x^{2} + \sin (x y)$ . Find the following partial derivatives: $g_{x} . g_{y}, g_{x y}, g (\times), g (y y)$ .

glasskerfu 2021-03-01

Write first and second partial derivatives
$g (r, t) = t \ln r + 11 r t^{7} - 5 (8^{r}) - t r$
a) $g_{r}$
b) $g_{r r}$
c) $g_{r t}$
d) $g_{t}$
e) $g_{t}$

mattgondek4 2021-02-27

Write formulas for the indicated partial derivatives for the multivariable function.
$g (k, m) = k^{3} m^{6} - 8 k m$
a) $g_{k}$
b) $g_{m}$
c) $g_{m} ∣_{k = 2}$

Elleanor Mckenzie 2021-02-22

Multivariable optimization. Find the demisions of the rectangular box with largest volume if the total surface are is given as 64 $c m^{2}$

naivlingr 2021-02-22

Write formulas for the indicated partial derivatives for the multivariable function. $g (x, y, z) = 3.1 x^{2} y z^{2} + 2.7 x^{y} + z$
a) $g_{x}$
b) $g_{y}$
c) $g_{z}$

Albarellak 2021-02-19

Find the critical points of the following multivariable function, and using the Second Derivative Test to find the maxima and minima of the equation below: $a (x, y) = \frac{8 x - y}{e^{x^{2} + y^{2}}}$

boitshupoO 2021-02-19

Multivariable optimization question. Find three positive real numbers whose sum is one and the sum of their squares is a minimum.

ruigE 2021-02-18

A surface is represented by the following multivariable function,
$f (x, y) = x^{3} + y^{3} - 3 x - 3 y + 1$
Calculate coordinates of stationary points.

snowlovelydayM 2021-02-09

Consider this multivariable function. $f (x, y) = x y + 2 x + y - 36$
a) What is the value of $f (2, - 3)$ ?
b) Find all x-values such that $f (x, x) = 0$

alesterp 2021-02-05

Use polar coordinates to find the limit. [Hint: Let $x = r \cos and y = r \sin$ , and note that (x, y) (0, 0) implies r 0.] $lim_{(x, y) \to (0, 0)} \frac{x^{2} - y^{2}}{\sqrt{x^{2} + y^{2}}}$

Jason Farmer 2021-01-31

Nonexistence of a limit Investiage the limit $lim_{(x, y) \to (0, 0)} \frac{{(x + y)}^{2}}{x^{2} + y^{2}}$

generals336 2021-01-31

What tis the complete domain D and range R of the following multivariable functions:
$w = 2 \sin x y$

texelaare 2021-01-27

Write formulas for the indicated partial derivatives for the multivariable function.
$g (k, m) = k^{4} m^{5} - 3 k m$
a) $g_{k}$
b) $g_{m}$
c) $g_{m} ∣_{k = 2}$

Falak Kinney 2021-01-13

Average value over a multivariable function using triple integrals. Find the average value of $F (x, y, z) = x^{2} + y^{2} + z^{2}$ over the cube in the first octant bounded bt the coordinate planes and the planes $x = 5$ , $y = 5$ , and $z = 5$

Anish Buchanan 2021-01-06

Let $z (x, y) = e^{3 x y}, x (p, q) = \frac{p}{q} and y (p, q) = \frac{q}{p}$ are functions. Use multivariable chain rule of partial derivatives to find
(i) $\frac{\partial z}{\partial p}$
(ii) $\frac{\partial z}{\partial q}$ .

Maiclubk 2021-01-05

Let $z = e^{x^{2} + 3 y} + x^{3} y^{2}$ , where $x = t \cos r and y = r t^{4}$ . Use the chain rule fot multivariable functions (Cals III Chain Rule) to find $\frac{\partial z}{\partial r}$ and $\frac{\partial z}{\partial} t)$ . Give your answers in terms of r and t only. Be sure to show all of your work.

Burhan Hopper 2021-01-05

A concert promoter produces two kinds of souvenir shirt, one kind sells for $18 ad the other for $25. The company determines, the total cost, in thousands of dollars, of producting x thousand of the $18 shirt and y thousand of the $25 shirt is given by
$C (x, y) = 4 x^{2} - 6 x y + 3 y^{2} + 20 x + 19 y - 12 .$
How many of each type of shirt must be produced and sold in order to maximize profit?

slaggingV 2021-01-02

By considering different path of approach, show that the function $f (x, y) = \frac{x^{2} + y}{y}$ has no limis $(x, y) \to (0, 0)$

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.

Multivariable calculus

Expert Help with Multivariable Function Questions