Consider the functions f (x) = Vx – 4 and g(x) = Vx – 4, are their domains the same or different? Explain.

Q: Consider the function f(x) = 2x10 + 7x° – 6x² – 9. Enter the antiderivative of f(x) -

A: To find The anti derivative of f(x).

Q: Find and sketch the domain of f(x, y) = √√1 − (x + 1)² − y² + 2 ln (x − y + 1).

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Q: y = e2=²-x %3D

A: Solve the differential

Q: Find linearization of the function f(x) = Vx + 3 at a = 1 and use it to approximate V3.98

A:

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: f(x) = 4x^3-(x+9)^1/2 What is the interval or intervals on which the function is differentiable on…

A: Refer  to the question the provided function is f(x) = 4x^3-(x+9)^1/2.

Q: 2²y. 3. Consider the function f(, y) =

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Q: : Express the function f (x) = e") to the form u(x,y) + iv(x,y).

A:

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

A: topic -  function domain and range

Q: Assume that f(x) is a differentiable and invertible function so that f(3) = 4 and f'(3) = .…

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Q: Differentiate f(x) with respect to g(x) of yx=xsiny

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Q: Find the MRSxy of the utility function U=In(x)+y.

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

A: Answer-

Q: Dicuss the contiunity of the function f (x,y) = ln  (x+y-1)

A: We know: 1) Polynomials are continuous everywhere. That is, at every point in real number 2) Sum of…

Q: Consider the function f(x) = 2x + 6x510x² - 4. = Enter an antiderivative of f(x). Do not enter +c as…

A: Here we have to find the integration.

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: 10) What is the domain of the function f(x) = Eo?

A: Domain

Q: 1. Let f(x, y) = 8x³ + y³. Find fæ(0,0). %3D

A:

Q: H.W: Find the domain of the functions f(x.y): xy g(x, y. ) : %3D -

A: We will find the domain of the Functions  Domain :- The domain of a function is the set of all…

Q: Find the antiderivative of f(x). f(x) = 3e6x+ sec2(x) +x3

A:

Q: find the specific function values. ƒ(x, y) = x2 + xy4 ƒ(-1, 1)

A: Given: fx,y=x2+xy4, f-1,1 for finding given value we substitute x=-1, y=1 in given expression

Q: Let be a real function of y=f(x) real variable implicitly defined by the equation 2xy−x2y2+ey=0.…

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Q: Consider the function f(x) = 2x³ + 71° – 8z2 – 8. Enter the antiderivative of f(x) + C

A: To find the antiderivative means integration of the given function

Q: For the function f(x), defined graphically, state the value(s) of x where the function is not…

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Q: Find the linearization L(x) of the function at a. f(x) = x3 − x2 + 9,    a = −2 L(x) = ?

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Q: Express the function in the form   f ° g  ° h

A: The given function is Rx=x-1 It is required to show the given function in the form of fogoh. So,…

Q: Differentiate the function. y=In(x²+e' y=In(x²+ean x)

A:

Q: Let f(x) = e*. What is f' (3)?

A: Differentiate wrt x

Q: Example:Find a²y as a function of t if x = t – t2,y =t-t3. dx²

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Q: Find the differential of the function y = f(x). f(x) = 7x5/6 + 2x2/3 %3D %3D

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Q: y= V> +In(5x) Differentiate the function

A: Given,           y=x2+ln5x

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Find R of the function Y = f(x) = vx %3D

A:

Q: (a) Find the linearization of the function f(x) =x+ at x= a=1

A:

Q: What is the domain of the function w = ƒ(x, y, z) = 1/xyz?

A: What is the domain of the function w = ƒ(x, y, z) = 1/xyz?

Q: 1 For what value of x does the function g(x) =x³ – 2x² concave downward? %3D

A: Consider the function  gx=13x3−2x2

Q: Use the chain rule to find the derivative of f(æ) = 4(92". – 8a")" You do not need to expand out…

A: Given the function f(x)

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Consider the function f(x, y) = x² + xy - 5x- y+1. Then:

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Q: Find the inflection point(s) of the function f(x) = 2eX. %3D (x, y) (smaller x-value) %3D (x, y) =…

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Q: Give an example of a linear function f(x)= mx + b, with m,b ±0 and an interval a<xsc where f(x)dx=0…

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Q: Find the linear approximation of f(x) = Vx-1 approximate 2.02. near a = 2. Use the result to

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Q: Differentiate the function. y = In(e-X + xe¬X) y' = II

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Q: J 3(x)is even function

A: Bessel Function The property of Bessel function says that- (1) Jnx is an even function when n is…

Q: Find and sketch the domain of the function. f(x, y, z) = ln(64 − 4x2 − 16y2 − z2)

A: Given function is      f(x,y,z) = ln(64-4x2-16y2-z2) We have to find the domain of this function.

Q: 2. Sketch the graph of the function (a) f(x, y) = Vr² + y? (b) f(x, y) = Vx² + y? – 1 %3D

A: Given a. fx,y=x2+y2b.fx,y=x2+y2-1

Q: Is g(x) = Vx + 1 differentiable or not? Justify.

A: Note :-  f(x) is exist only if f(x)≥0.

Q: Describe the domain of : f (x,y) = Ln(2 + x + y)

A: in the question it is asked to write the domain of f(x, y)=ln(2+x+y).

Q: Find the domain of the function flx, yl= %3D

A: Explanation is given below...

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: