The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) = -2000+0.004(x – 1000)² + 0.001(y + 1000)²

Q: f(x, v) = a² + y² - 4zy.

A: We have given f(x,y)= x2 +y2 -4xy Now, for finding the critical point we have to find partial…

Q: What is the domain of the function f(x)=x/x²-1?

A:

Q: Describe the end behavior of the function f (æ) = -2x+ 3x2 – 5a + 1. f (x) as x → ,f (x)→ as x →

A: We have to describe the end behavior of the function f(x)=-2x4+3x2-5x+1.

Q: Differentiate the function (5y 1)4 /y2 1 G(y) In =

A: Given information:

Q: The domain D, of the function f (x) = Vx² – 1 is: -

A: The domain of a function is set of values for which the function is defined. The square root is…

Q: Find the points of inflection of the function f(x)=xe−2x.

A: Inflection point is the point where concavity of f(x) changes. At this point double derivative of…

Q: Sketch the curve of f 3x y = f(x) = r³ – 8

A: Given,  y = fx = 3xx3-8  We have to sketch the curve.

Q: Use the graph of f(x) to solve f(x) = 0 f(x)

A: Given query is to the factors of the expression.

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range

Q: What is the end behavior of the function f(x)=2e^x

A: F (x)=2e x Now f(x) = c when x ->c

Q: Can you calculate f(0) for the function f(x) = 2π2?

A: Answer is  f(0)=2π^2. Explanation is given below

Q: How does the function ƒ(x) = x2 - 1/x - 1 behave near x = 1?

A: The given function is f(x)=x2-1x-1 we have to check the behave near x = 1

Q: Consider the function y = 1 2r2

A: To find: The horizontal and vertical asymptotes of fx. Given: The function is fx=2xx2-1. Concept…

Q: snip

A: Given: f(x)=x3-3x2

Q: Please

A:

Q: The range of a function f(x) = 9x – 15 is {-42,39}. Wh %3D

A: Actually from my point of view you want to know the domain of f(x)  because in this question range…

Q: Can you calculate f(−2), f(x + 5), f(α), and f(α + Δ) for the function f(x) = 2π2?

A: The given function is: f(x) = 2π2. Yes we can calculate  f(-2) and other values f(x+5), f(α) and…

Q: What is f(12) for the function f(x) = 2x + 3 ?

A:

Q: Differentiate the function. y = (x+2)(x² + 2x +1)

A:

Q: What is the y-coordinate of the inflection point of f(x)=x³-x²-x- 1?

A: Inflection point of a function  is the point at which second derivative is 0.

Q: sketch the domain of the function f (x, y) = 81 − x2

A: Given;                                  fx,y=81-x2 The value inside the root must be 0 or greater.…

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

A: Put second derivative zero

Q: mathematically

A: We will solve the problem

Q: 1. f() 3 2х + 3

A:

Q: determine the f(0) if f'(x) = 2cosx + 8x^3 + e^x

A:

Q: Find the domain of the function.

A: Domain is set of all the input values which can take value in function such that it gives some…

Q: Sketch the domain of the function.  f (x, y) = 12x − 5y

A: Sketch the domain of the function.  f (x, y) = 12x − 5y

Q: Differentiate the function. f(t) = 7 - 글

A: We have to differentiate of the  function

Q: What is the domain of the function y = x+ V9-x²

A:

Q: What is the domain of the function f(x) = Vx* – 16? %3D

A: The function is given as fx=x4-16

Q: (d) Differentiate the implicit function below. y 3 + y = 2x2 +4

A: dy3+ydx=d2x2+4dx dy3dx+dydx≡d(2x2)dx+d(4)dx 3y2dydx+dydx=4x.

Q: snip

A: The function is given as fx=x2-16

Q: What is the end behavior of the function f(x)=2ex?

A: Given: The function,  f(x) = 2ex

Q: Differentiate the function with respect to the independent variable. f(x) = (x° - 7x) 5 f'(x) = D

A: Given:

Q: Find the domain of the function f(x) = V15x -3.

A: Given,            f(x) = 15x - 34

Q: Differentiate the function. 18. y = Vx (2 + x)

A:

Q: Find the point at which the line f(x)=−x−4 intersects the line g(x)=5x+14.

A: On solving this we will get

Q: What is the y-coordinate of the inflection point of f(x)=x^3-x^2-x-1?

A: Inflection point : A inflection point is that point from where a curve changes its concavity like…

Q: Find the internal where the function is increasing and decreasing for  g(x)= x-x^3

A:

Q: Consider the function f(x) =(x +1 )( x-1)² 16. What is the inflection point?

A:

Q: where is the function (5+x) / (x(x-2)) discontinuous?

A:

Q: What is the parent function of y = ○y=x³ y=x² − 3/3 (x + 2) (x − 8)?

A: y=-23x+2(x-8) we have to find its parent function

Q: Differentiate the function. 3 F(x) = =* 10 %3D

A:

Q: What is the end behavior of f(x)?

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 d2Rdx2=0

Q: What is the domain of y =f"(x) if f(x)=;(x-1)*?

A:

Q: Consider the function y= g(I)= -z² + 3c + 6,

A: The derivative of the function f(x) with respect to x is given as .

Q: a) Determine the domain and range of the function z = 4 - V9 - (x² + y?).

A:

Q: Explain why f′(x) could be positive or negative at a point wheref(x) > 0.

A: Explain why f′(x) could be positive or negative at a point wheref(x) > 0.

Q: Find the point of dimminshing returns (x,y) for the function R(x)=4000-x3+48x2+500x, 0<x<20, where…

A: