Determine whether the function with u = x² – y² and v = is an analytic %3D x² + y² function or not.

Q: Differentiate the function. h(t) = Vt - 3et

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Q: Differentiate the function with respect to the independent variable. f(x) = %9+ 3x? %3D f'(x) =O

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Q: Evaluate the function at the specified points.  f (x, y) = x + yx^3, (2, 2), (−1, 4)

A: To evaluate the function at specified points:f(x,y)=x+yx3, (2,2),(-1,4) Solution: Given,…

Q: Determine whether z is a function of x and y. xz2 + 2xy − y2 = 4

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

A: we have to differentiate the function:y=x2+x+1ex

Q: Show that the function y = x1/2, x > 0, is strictly concave

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Q: Differentiate the function. y = In(|5 + t - t31) y' = ||

A: Given query is to find the derivative of the expression.

Q: evaluate the function at the specified points. f (x, y) = x + yx3, (2, 2), (−1, 4)

A: Given function is fx,y=x+yx3

Q: Determine whether the function is differentiable at x = 2.

A: Given: f(x)=x2+2x<22xx≥2 To determine: Given function is differentiable at x=2 or not.

Q: Differentiate the function. y = V7 + 4e3x y' = %3D

A: The function is  y=7+4e3x

Q: as a function of x when y =

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Q: Sketch the domain of the function.  f (x, y) = √(81 − x^2)

A: Sketch the domain of the function.       fx,y=81-x2

Q: 2) Determine if the two functions are Linearly Dependent or Linearly Independent. f(x)= e*? g(x)= e*

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Q: y= +1) %3D

A: Given y=x(x2+1)4 Differentiate with respect to…

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: "Find the domain of the function f(x) = g(z) +, where g is a function whose domain is (-, 10]." VT-4…

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Q: Differentiate the function y=(√x−1)(√x+1).

A: Given: y=x-1x+1

Q: Determine the local extrema of the function f(x)=xln2x.

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Q: Find the function U, whose first difference is *C,-

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Q: does xy=4 describe y as a function of x?

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Q: Differentiate the function. z(y) = A/y12+Bey

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Q: Determine whether the equation defines y as a function of x. x =  |3y|

A: Given,           x =  |3y|

Q: Which table is related to the parent function of y= z?

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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: Determine whether y is a function of x…

A: For a function to be a function of x, the two variables say y and x must be separable…

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

A: Given,           y=x2+ln5x

Q: Differentiate the function. y = V x2 + 2x

A:

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

A: Givenf(x)=1x+6

Q: Describe the various components of the function Y, E(Y | X,) +4,. %3D

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Consider the function f(x, y) = e-x²-y² defined on the rectangle -2<xs 2, -1 <y < 1.

A: In this question, we find the absolute maxima and minima by using suggested steps.

Q: Differentiate the function. y= (2x-5) (1-x*)1 dy %3D xp %3D

A: Explanation and solutions is given below....

Q: y" – 12y" + 32y = 42e",

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Q: Find y as a function of a if y(0) = 2, y(0) = 3, "(0) = 7. y(x) = y"9y" + 18y = 0,

A: y'''-9y''+18y'=0y(0)=2, y'(0)=3, y''(0)=7To Find: y(x)

Q: Differentiate the function with respect to the independent variable. f(x) = 2x° In xº f'(x) =O

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

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Q: Differentiate the function.

A: Given: y=aex+bcex+d we know that  ddxuv=vdudx-udvdxv2                                            ..1

Q: Determine whether z is a function of x and y + z2 = 1

A: see below the answer and explanation

Q: Define y as a function of x: 2xy + 5y2= 4   Don't forget the 5 in 5y^2

A: The given equation,     2xy+5y2=4

Q: Graph the function as a solid curve 1) f(x) =극지•3

A: We have to graph

Q: f(x) = 6x5 – 4x3 + 10

A: To classify the stationary points of the function: f(x)=6x5-4x3+10

Q: f(x) = x3+x

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Q: Differentiate the function. y = V x² + 2x %3D y'

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Q: Find for the follo Wing function X (X+y')=y* बरू

A: Given,          The function is  x2x2+y2=y2 .

Q: Find a function y(x) such that y'(x) = x² In(x³) – (x² + 1)¯ and y(1) = 2.

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Q: Differentiate the function. F(t) = e4tsin(2t) %3D

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Q: Find the linearization L(X) of the function at a. f(x) = x2/3, a = 64 %3D L(x) =

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Q: Determine whether or not the function is homogeneous. If it is homogeneous, state the degree…

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

A: Explanation is given below...

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.