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Recent questions in Multivariable functions

tarynosanders 2022-07-17

Find dw/dt when w= ln(sqrt(x ² + y ² + z ²)) and x = 2 sin(t) y = 8 cos(t) and z = 6 tan (t)

Vecna Andres2022-06-20

Consider the region in the rst quadrant whose top portion is from the graph of y = 2 􀀀 x2 while its bottom
portion is from the graph of y = x. A rectangle is to be insribed in the region such that one side of the rectangle
is on the y-axis. Find the area of the largest rectangle that can be inscribed in the region.

Eve Dunn 2022-05-12

How to solve for $a, b, c, d$ from two equations?
Need to understand how to solve the following question:You have $50$ coins that add up to $1$ dollar. What are the possible combinations of pennys, nickels, dimes, and quarters that will satisfy these limits?
$P + N + D + Q = 50$
$.01 P + .05 N + .10 D + .25 Q = $ 1$

pettingyg0 2022-05-03

Solve for x in the equation 5x+4=4-7n.

use squeeze theorem find the following $\lim_{} x, y - 0, 0 y^{2} (1 - c o s 2 x) / x^{4} + y^{2}$

Gage Potter 2022-05-02

Solve for w in the equation y-1=4wy-6.

ngihlungeqtr 2022-05-02

Solve for x in the equation 3-3x=w+1.

Jordin Olsen 2022-05-01

Solve for v in the equation -7=3uv+4.

Dania Robbins 2022-04-30

Solve for x in the equation a-7x+4=0.

Judith Warner 2022-04-30

Equation of the line tangent to $\{\begin{cases} y = x^{2} \\ z^{2} = 16 - y \end{cases}$ , at the point (4,16,0) ?
a) $\{\begin{cases} 4 x = y \\ z = 0 \end{cases}$
b) $\{\begin{cases} x = 4 \\ y = 16 \end{cases}$
c) $\{\begin{cases} y - x = 12 \\ z = 0 \end{cases}$
d) $\{\begin{cases} x + y = 20 \\ z = 0 \end{cases}$

Find the first and second derivatives of the function f(x) = $x^{2}$ ( $\sqrt x - 5$ )

Addison Gross 2022-01-25

How do you find the critical point and determine whether it is a local maximum, local minimum, or neither for $f (x, y) = x^{2} + 4 x + y^{2}$ ?

Ahmed Stewart 2022-01-25

I have a multivariable function that is composed of six variables; four of these are constants $C_{1}, C_{2}, C_{3}, C_{4}$ and the other two variables are x and y. The function is defined as follows
$X i (x, y, C_{1}, C_{2}, C_{3}, C_{4})$ I would like to find the maximum value of $X i$ over $x \in {- \infty, \infty}$ and $y \in {- \infty, \infty}$ . What is the rigorous mathematical notation I should use to describe this. Is this fine:
$max {X i (x, y, C_{1}, C_{2}, C_{3}, C_{4})}$

poveli1e 2022-01-25

$f (x, y) = x \sin (x) + \cos (x) - y \sin (x) + \frac{y^{2}}{2}$
My task is to find the critical points of this multivariable function (Determine the set of critical points of the function). Now I found the partial derivative to be $f_{x}^{'} = (x - y) \cos (x)$
$f_{y}^{'} = y - \sin (x)$
Wolfram Alpha says the critical point(s) is/are at $x = y$ ? How do I get the above in that form? The best I could do was get it in the form $x - y \sec (x) + \tan (x) = y$

Fallbasiss4 2022-01-25

Write a multivariable function (i.e z=f(x,y)) for a linear function that contains the points (−1,0),(0,2),(1,−1). Ive

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

Find dw/dt when w= ln(sqrt(x ² + y ² + z ²)) and x = 2 sin(t) y = 8 cos(t) and z = 6 tan (t)

Solve for w: 0=-7w+5x-3.

Solve for x in the equation 5x+4=4-7n.

use squeeze theorem find the following $\lim_{} x, y - 0, 0 y^{2} (1 - c o s 2 x) / x^{4} + y^{2}$

Solve for w in the equation y-1=4wy-6.

Solve for x: 0=-4u-7x+4.

Solve for x in the equation 3-3x=w+1.

Solve for w: 0=-6u-7w-6.

Solve for v in the equation -7=3uv+4.

Solve for x in the equation a-7x+4=0.

Solve for y: 0=u-5y+1.

Solve for x: 0=3u-7x-9.

Find the first and second derivatives of the function f(x) = $x^{2}$ ( $\sqrt x - 5$ )

How do you find the critical point and determine whether it is a local maximum, local minimum, or neither for $f (x, y) = x^{2} + 4 x + y^{2}$ ?

Write a multivariable function (i.e z=f(x,y)) for a linear function that contains the points (−1,0),(0,2),(1,−1). Ive

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