2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2 that passes through the point (2v2, v2) %3D

Q: Find an equation for and sketch the graph of the level curve of the function f(x,y) that passes…

A: Level curve: - The level curves of a two-variable function f are those with the equations f(x,y) =…

Q: Find the relative maximum and minimum values. ​f(x,y)= x^3+y^3-33xy

A:

Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: Find the values of x, y and z that correspond to the critical point of the function f(x, y) = 2x?.…

A: The given function is  f(x, y) = 2x2 - 5x - 3y + 5y2 To find the critical points of the function.

Q: Find the local minimum value of f(x, y) = 4 + a" + yl – 11ry.

A: Use double derivatives test to find local maximum or minima.

Q: The Critical Point of y = xe-*

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 255 + 0.3x and R(x) =…

A: Given: C(x)= 255+0.3x R(x)= 7x- 0.01x2

Q: y+ 5 corresponding to c = 4, c = – 2, and c = 2. Sketch the level curves of the function f(x, y) =…

A: The given data is: fx,y=y+5x  To sketch the level curves of the function fx,y=y+5x correponding to…

Q: Find the absolute maximum and minimum of f(x, y) = 3z +y within the domain z² +y? < 4.

A: Use lagrange multiplier.

Q: Find the relative maximum and minimum values. f(x.y)= 8xy-x - 4y

A: Given :f(x,y)=8xy-x3-4y2

Q: 8. For the graph of the linear function H(z) = -4z + 3, the slope is %3D and the y-intercept is

A: Consider the given equation as Hz=-4z+3

Q: f (x, y) = 2x³ + xy² + 5x² + y?

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 294 + 0.4x and R(x) = 3x -…

A: Here C(x)=294+0.4x  and R(x)=3x-0.01x2We have to find the marginal profit function…

Q: e. Find points on the graph of xy°z² = 16 that are closest to the origin.

A: Let P be point (x0,y0,z0) Then, distance between P and origin is given by

Q: The level curves of the function f (x, y) = Vx² – y² – 1 are

A: We have to find the level curves .

Q: Find the relative maximum and minimum values. f(x,y) = 3x² – 4y?

A:

Q: х-у+2z (2,0, – 3) 2x + у-z'

A:

Q: Find the local minimum value of f(x, y) = 4+ xl+yl1 11æy. -

A:

Q: The level curves of the function f (x, y) = V2x2 + y? – 1 are

A: Please refer to the image below

Q: Consider the production function:           Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of…

A:

Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 232 + 0.7x and R(x) = 4x -…

A: Given: C(x) = 232+0.7x R(x)= 4x-0.06x2

Q: Find the relative maximum and minimum values. Зx2 f(x,y) = + 10y2 + 3

A:

Q: b. Find the orthogonal trajectories for the family of curves x² + y² =C².

A: we have to find the orthogonal trajectory of the given family of curve

Q: The student should determine the minimum rate of change of the function g(x, y) = y²e*Y on the…

A: First I have written the rule of minimum rate of change of a function at given point and then find…

Q: Sketch the level curves of the function f(x, y) = = I x+y for c= -6.

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Given the marginal propensity to consume C'(Y) = 0.8 + 0.1Y-0.5 and the information that C = Y when…

A:

Q: . Sketch the level curves of the function f(x, y) = x² + 2x + y² – 6y corresponding to the z-values…

A:

Q: Find the minimum values of the function (x, y) = x² + 2y² that lic on the cirele x² + y² =1

A: Given : Function fx,y = x2 + 2y2  Circle x2 + y2 = 1   To find : Minimum values of the given…

Q: Find all points (x,y) where f(x.y) has a possible relative maximum or minimum. f(x.y) = x* - 32xy +…

A: Solution:Given thatfx,y=x4 -32xy+8y2-10we have to find all points x,y where fx,y has a possible…

Q: For y> 0, find the minimum value of + 10 +5y2 5 y2

A:

Q: Find the marginal profit function if cost and revenue are given by C(x)= 244 +0.2x and R(x)=…

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 194 + 0.1x and R(x)=…

A: We can make it easier for you

Q: Given f (x)= (x^2) (e^-x) , find the relative maximum and relative minimum point respectively.

A: We will use derivative to find maximum and minimum value for the function. If f(x) is a function.…

Q: Find the relative minimum f(x,y)=288y2+x2-x2y

A: According to the given information it is requires to find the relative minimum of the function:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 157 +0.7x and R(x) = 8x…

A:

Q: Examine the function f (x, y) = x3 − 6xy + y3 for relative extrema and saddle points.

A:

Q: For what value of k will x + k/x have a relative maximum at x = -2?

A: Given: f(x)=x+kx

Q: Find an equation for the level surface of the function f (x, y) = ln (x² + y²+ z²) that passes…

A:

Q: Find the relative maximum and minimum values. f(x.y)=x +xy+y° 28y + 261

A:

Q: 6. For the function y=x³, is x=0 both an inflection point and a local maximum /minimum?

A:

Q: Find the maximum slope on the graph of f(x, y) = 2 sin(ry) at the point P(4, 0).

A: The given question can be solved as shown in step2.

Q: Find the relative maximum and minimum values. f(x,y) = x² +y2 +4x- 12y

A:

Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

A:

Q: Find the local minimum value of f(, y) = 4+ x1 + yl – 11xy.

A:

Q: Find the relative maximum and minimum values. f(x,y) = x° +y° - 3xy

A:

Q: Find the relative minimum value for the function: f(x,y) = e(5x2+8y2+4).  those 2's are "squares"

A:

Q: Find the marginal profit function if cost and revenue are given by C(x)= 185 +0.3x and R(x) = 3x…

A: Recall: Profit, P(x)=Revenue-Cost Marginal profit=P'(x) We have, R(x)=3x-0.02x2, C(x)=185+0.3x

Q: 2) Find the relative maximum or minimum value of f(x, y) = 3x² + 2xy + 10y² - 54x - 308y

A:

Q: Find the relative maximum and minimum values. f(x.y) = e +2y .2

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.