Sx² - c f(x) = for x < 5 | 4х + 2с for х>5

Q: find extreme Value of function fex, y) = x°t 3xy?-3x²-3y=t7 1

A: Given:  fx,y=x3+3xy2-3x2-3y2+7 ⇒fx=3x2+3y2-6x, fy=6xy-6y To find extreme points put fy=0, fx=0…

Q: f (x, у) 2x? + y? + 2ху + 4x + 2y + 5

A:

Q: Find all values x= a where the function is discontinuous 1x2

A: Given Since g(x) is a branch function then the possible point where the function may be…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given: R(x)=10000-x3+45x2+700x, 0≤x≤20

Q: Q4) f(x, y) = x"/s –x/ay² Does the function is harmonic ?

A: If a function satisfied Laplace equation then the function is called harmonic function

Q: -3r 10 f(x) : r2--20 C, r= 5 What value of C would make f(x) continuous at r 5?

A:

Q: 2x + 5y find ху - 3 For the function h(x.y) = and dy

A:

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: Q3): Does the function r(x, y) = xs -xay² is harmonic?

A: As we know that; the function fx,y is harmonic. If ∂2f∂x2+∂2f∂y2=0 or fxx+fyy=0 Given:…

Q: X +7 At what points is the function y= continuous? 2 x - 13x + 42 X

A: NOTE: Refresh your page if you can't see any equations. . to find the undefined points, take…

Q: The function y=(x-4)/(x+2) is discontinuous at x equals? O -2 O 1 O 2

A:

Q: which shows the function f(x)=7x after a vertical translation down 4 units

A:

Q: Find the domain of the function f(x,y)= exy/ x-y2

A: Answer-

Q: For the function f(x)=x^2 e^−2x, find:    (a) the local and absolute extrema.    (b) the…

A:

Q: Q1) Find the local extreme values of the function f(x, y) = 3y2 - 2y - 3 x + 6xy

A: We use second order partial derivative to find maximum, minimum and saddle points

Q: Find domain and range F(x,y)= Vx-1

A: Since you have asked multiple questions in a single request, as per policy, only the first question…

Q: For what value of x does the function g(x) 2x concave downward? 1/3

A: The function is concave downward when  f '' (a) &lt; 0  at x = a

Q: Find the interval on which f(x)%= -X xe is increasing. a. (-00,1] b. (-0,2] c.(-0,3] d. [1.2]

A:

Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where the marginal return starts to diminish. Point of…

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

A:

Q: If f(4) = 14, f' is continuous, and f'(x) dx = 16, what is the value of f(7)? %3D f(7) = %3D

A:

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: df-1 For the function y = f(x)=x²-x-1, x ≥ 0.5, find dy (ƒ-¹) '(1) = y=

A:

Q: of af For the function f(x.y)= 7x-9y- 3, find and dy

A:

Q: df-1| For the function y = f(x) = x + 3x + 1, > 1.5, find dy (f-)'(3) = %3D

A:

Q: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

A:

Q: e4z f (2) = 27 + 38 at how many points the function f (z) is discontinuous ?

A:

Q: Q1) Find the local extreme values of the function: f(x.y) =4 x2 - 6xy + 5 y?-20x + 26y

A: Answer

Q: Find the value of the constant c that makes the following function continuous on (-0o, co). (cb+8…

A: Consider the function: fb=cb+8     if  b∈-∞,3cb2-8  if  b∈3,∞ The given function is continuous on…

Q: Q3- Find the functions f,g s.t fog= (x+1)5

A: Given composition function fog then find the function f and g

Q: 16. Find the range of the function y = 1+ x2

A: Range: The range of the function is the set of all values of the dependent variable y corresponding…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Q1: Find and : for the function f(x,z) %3!

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

A:

Q: Find the local extreme values of the function: f(x,y) = x² + y? - 6y + 5

A: We need to find the local extreme values of the function f(x, y)=x2+y2-6y+5. Here,      ∂f∂x=2x…

Q: x+1 At what points is the function y = continuous? x2 - 6x + 5

A: To solve this problem we will use the concept of continuity of rational function.

Q: Consider the function defined by f(x,y) = 4x² + y? (a) Find the domain and range of f.

A: Given function: fx,y=4x2+y2To find: Domain and range of f.

Q: C- Find Z magnitude if the equation is continuity. x-2 x + 2 4- V14+x f(x) x= 2

A: Given equation is:

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

A:

Q: X + 1 At what points is the function y = continuous? x2 - 10x + 9

A:

Q: Q3) State the approximation for a differentiable function f(x): (a) V51 (b) V123 (c) (33)

A: (a) 51 Linear approximation is obtained as Lx=fa+f'ax-a Consider the function fa=a. On…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

A:

Q: x+6 At what points is the function y = continuous? x-14x+48

A: If function f(x) is said to be continuous at x= a if f(x) is defined at x=a. limx→af(x) exist i.e,…

Q: Q2\Find T.E of the function f (x) = e2x when a =2?

A: Given that  f(x)=e^(2x) To find teh T.E

Q: a) Find the function f(x) which satisfies the following condition. (s+2)e-2s s2 + 4 s + 8 L[F (x)] =…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: At what point (x, y) is the function f(x) = 6x - 6 closest to the origin? Enter an exact answer.…

A:

Q: y2 For function f (x, y) = x2+1

A:

Q: 4 F2x) dx. f(x) dx = 9, find If f is continuous and 0

A: Given,

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.