Use the EVT to find the maximum and minimum values of the function f(x, y) = e4a-5 yʻ on the disc x² + y? < 16.

Q: Find the maximum and minimum values of the function f(x, y) = 3y² + 2x² – 6y %3D in the region where…

A:

Q: At what points (x, y) in the plane are the functions continuous? g(x, y) = 1/(x2 - y)

A:

Q: Suppose f(x, y, z) = In(7x + 9y+7z). Find an equation for the level surface of f that passes through…

A: Given Data: The level of the curve for fx,y,z=In 7x2+9y+7z2 is of the form,…

Q: Find the maximum value of f(x, y) = 4x + 6y subject to being on the circle ² +y² = 13.

A: We use formula of Lagrange's multiple Del(f(x)) = lamda * del(g(x))

Q: f(x, y, z) = x² + 3y² + 5z?

A: Let us assume f(x,y,z)=x2+3y2+5z2=k Assume that k≠0 x2+3y2+5z2=k Divide both sides by k,…

Q: Find the absolute minimum for the function f(x,y) = 7 +7x² +7y² bounded between x = 3, x = 9, y = 4…

A:

Q: Find the maximum value of ƒ(x, y) = 6xye^(-(2x+3y) )in the closed first quadrant (includes the…

A: Given and

Q: At what points (x, y, z) in space are the functions in continuous? h(x, y, z) = ln (z - x2 - y2 - 1)

A:

Q: Find absolute maximum and minimum values for f (x, y) = x² + 14xy + y, defined on the disc D = {(x,…

A:

Q: Find the family of oblique trajectories that intersect the family of the paraboles y = Cx at angle e…

A:

Q: Find the linear approximation at x = 0 to Write %3D 2- your answer in the form y = Ax + B. %3D

A:

Q: Find the local minimum value of f(x, y) = 4 + x° + y° – 9xy. ::

A:

Q: At what time t does the speed of a particle moving in 3-space with position function r(t) = ti+tj+…

A: To find the time at which the speed of the partial is minimum. Note that, the velocity is the time…

Q: 3. Describe the level surfaces of the function. f(x, y, 2) = x² + 4y? + 42?

A: We Know that,  A level surface of a function w = f(x, y, z) with three variables is a surface f(x,…

Q: Let F(x, y) =x2+xyz+z , find at the point (1,1,1)

A:

Q: At what points (x, y.z) in space are the functions continuous? a. h(x,y.z) = In (3z - 4x – 3y² – 3)…

A:

Q: Find the local minimum value of f(æ, y) = 4 + x7 + y7 – 7xy.

A: We need to find the local minimum value of f(x,y)=4+x7+y7-7xy.  For this we find the partial…

Q: Let f(x) = S* A et dt. At what value of x, f(x) has a minimum? Select one: 4 -2 no value of x

A:

Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: At what points (x, y, z) in space are the functions continuous?  a. ƒ(x, y, z) = x2 + y2 - 2z2 b.…

A: Continuity: A function f is continuous at the point (a, b, c) if,                            For…

Q: Find the local minimum value of f(x,y) = 3x² + 2y2+ Ox + 2y + -5. Give your answer correct to two…

A:

Q: 3. Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle…

A: given family of parabolas y2=cx at angle θ=60° claim- find the family of oblique trajectories that…

Q: The function f(x, y) = 2x² + 4y² + 2x³ has a local maximum at the point (0, 0). Select one: O True O…

A:

Q: The position function of a particle is given by 7(t) = (t², 5t, t2 – 16t). When is th sneed a…

A: Given:

Q: 1. Find the absolute minimum value of 0 < x < 4 f (x, y) = 4x² + 2xy – 2y? – 18x on the rectangular…

A:

Q: Integrate f(x, y) = (x + y + 1)- 2 over the triangle with vertices (0, 0), (4 , 0), and (0, 8).

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Use the Lagrange method to find three positive numbers x, y, z such that x+y +z = 90 and x 2 yz is a…

A:

Q: Calculate the maximum and minimum of the function f (x,y) = xy subject to the condition x2 + y2 = 1

A: To find the optimal solution, we will use Lagrange multiplier method. The Lagrangian function is…

Q: Find the local minimum value of f(z, y) = 4 + x² + y7 – 7xy.

A: Explanation of the answer is as follows

Q: Find the local minimum value of f(x,y) = 4+ x11 + y11 11zy. %3D

A: We have to find the local minimum value of the function f(x,y).

Q: Find the Maximum value of the function f(x, y) = x² – y² – 2y on the curve x? + y? = 25. %3D -

A: By langrange multiplier method n

Q: Find the maximum and minimum values of the function f(r, y) = 10 + 5x + 14x2 + 8y + 14y? on the disk…

A:

Q: (7) , Find the absolute maximum and absolute minimum of f(r, y) = ya? - y? +4 on the unit disk {(*,…

A:

Q: At what points (x, y) in the plane are the functions continuous? ƒ(x, y) = ln (x2 + y2)

A: To find the points in the plane

Q: (a) Assume that traffic flows at a rate of 240 vehicles per hour on the stretch of road between…

A: The number of vehicles coming and leaving the signal is same in all the signals. That is, Total…

Q: At what points (x, y, z) in space are the functions in continuous? ƒ(x, y, z) = x2 + y2 - 2z2

A: Solution:-  At what points (x, y, z) in space are the functions in continuous? Let (m,n,p) is the…

Q: Find the absolute maximum and minimum values off on D, where f(x, y) = x – 2xy+2y and D={(x,…

A:

Q: Picture attached. Thanks in advance!

A:

Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) = x4 - 4xy +…

A:

Q: Find the absolute maximum and minimum values of D(x,y)=x²-xy + y² + 1 On the closed triangular plate…

A: Here I am using basic calculus we and also use short method.

Q: 2) a) Find the absolute maximum and minimum values of the function f(x, y) = e*+y* in the disk x? +…

A: Note: We'll answer the first question since the exact one wasn't specified. Please submit a new…

Q: Find the local minimum value of f(r, y) = 4+ a7 + y7 - 7ry.

A:

Q: At what points (x, y) in the plane are the functions continuous? ƒ(x, y) =y/(x2 + 1)

A:

Q: Find the maximum value of f on the region shown, subject to the constraint g (x, y) = c . At what…

A: a. The maximum value of f is 4. The point at which the maximum occurs is (0, 4).

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

A:

Q: Find the absolute maximum of f(x,y) = 5x²y² + 4y² + 6x² bounded by y = x, y = 0 and x = 4. %3D…

A: The given function is: f(x,y)=5x2y2+4y2+6x2Bounded Region is:  y=x,  y=0,  x=4

Q: Find the family of oblique trajectories that intersect the family of the paraboles y =cx at angle e…

A: The answer is given below:

Q: X+Z+3Siny X +2y-2

A:

Q: The function f(x, y) = x² + 4y2- 2x + 8y-1 has a local minimum at the point (-1, 1). Select one: O…

A: We will use first order derivative to find critical point.  If given point is critical point, then…

Q: If x² + y² < z < 1, find the maximum and minimum of the function u(x, y, z) = x + y + z

A: We have to find the maximum and minimum of the function.