The functions u and w are defined as follows. u (x) = -2x-1 w (x) = 2x²-2 Find the value of u (w (3)).

Q: How many independent variables does the function r(t) = ⟨ƒ(t), g(t), h(t)⟩ have?

A: Given that the functions f, g, and h, all depend on t. t is independent So there is only one…

Q: A function of the form y ax + bx + c, a + 0, is called a/an function.

A: The given function is, y=ax2+bx+c, a≠0 For the given function, the degree of the function is 2.

Q: Consider the two functions f(x) = x² + 3x and g(x) = Sx² – 2, x 0

A: Given:                     Evaluate the following

Q: Given the functions Az) = cos(x) and g(z) = x - 5x- 6, determine the domain of the combined fx)…

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Q: 17. Find the linear function f(x) that is parallel to 4x + 3y = 6, such that f(0) = 7.

A: Given function, 4x+3y=6, That is 3y=-4x+6 y=-43x+2 compare to y=mx+c Therefore m=-43

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27 L(x) =

A: The linearization of the function fx at x=a is Lx=fa+f'ax-a

Q: - 8x2 5x2 + 5y2 if (x, y) # (0, 0); Consider the function f(x, y): if (x, y) = (0, 0).

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Q: Consider the function f(x)=/25–x². a. Find the linearization L(x) of f(x) at x = 3.

A: Given function , f(x) =25-x2Linearization of f/9x/0 at x=a is given by L(x) = f(a)+(x-a) f'(a)

Q: Find the linearization L(x)of the function at a .

A:

Q: find functions f and g so that f ∘ g = H.

A: given: Hx=1-x2 we have to find the functions f and g so that f ∘ g = H.

Q: Find the residues of a function 1 f(z) 3 (z − 2)(z + 1)³

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Q: 1. For f (x) = Vx + 1, g (x) = vx – 1, find the domain and range of f,g,f + g,f •g

A: Domain: The set of all the values of x for which the function is defined or exist.…

Q: If F(x) is an antiderivative of -2+ x-1, then what is the value of F(1) – F (–1)? 3 -1 -2

A: If F(x) is a antiderivative then there exist a  function f(x) such that  F'(x)=f(x).

Q: Evaluate the function at the given value(s) of the independent variable. 9x + 1,x < 0 9x + 3, x 2 0…

A: Here we are going to solve only the first three subparts and for the remaining subpart please post…

Q: the impermissible value of x for the function y = 1 / (e ^ 2x-1) is: a) 1 b) 0 c) 1 d) e

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

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Q: Let R = [-1,1] x[-1,1]. Come up with any functionf(x,y) satisfying )dA < 0.

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Q: 1. Find and sketch the domain of the function z = f(x,y) = Vx² + y² – 6x – 27. Then sketch the trace…

A: Given: The given function is z=fx,y=x2+y2-6x-27

Q: if f(z) = (ax – x³ + 3xy²)+ (by – 3x² y + y) is analytic, then the value of a and is

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Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2x−5 + 3 ,…

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Q: Given the function, f(x) = √x + x, use linearization at x = 4, to approximate f(4.1)

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Q: Find all the extreme values and their types from the function f defined by f (x, y) = 2y ^ 3 + 2x ^…

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Q: 1. Find and sketch the domain of the function z = f(x, y) = Vx² + y² – 6x – 27. Then sketch the…

A: Solution: The given function is z=fx,y=x2+y2-6x-27 We have to find and sketch the domain of z=fx,y.

Q: Q1: Find and : for the function ax af ду f(x, y) = x+y %3D y2+x3

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Q: Calculate f(0,0) and fy(0,0) of the given function (x³ + x* v3

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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: Q1- If we have the following function: f(x, y) = 5 x8 y/3 + In x + e*y find fxx fyy f xy, and f yx…

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Q: Find a and b so that the function f(x) = S 4x – 7x² + 5, a -2 is both continuous and…

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Q: Find the linearization L(x) of the function at a. f(x) = x³ - x² + 7, a = -3 L(x) =

A: The solution for the above equation is as shown below.

Q: For the function z = - 8x³ - 2y² - 2xy, find a z(1,-2), andz(1,-2). dz dz a ax' dy ax

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Q: Find the linearization L(x) of the function at a. f(x) = –9x?, a = -9 L(x) =||

A: Given:- The function is, f(x)=-9x2 To find: - The linearization L(x) of the given function at a=-9

Q: Evaluate the function at the given values of the independent variables. = x³ + 3xy + y²; x = -1, y =…

A: z=x3+3xy+y2x=-1  and y=1 Replace the x  and y values in the given function

Q: Find the linearization L(x) of the function at a. f(x) = x2/3, a = 27

A: Consider the given function

Q: Find domain and range of the function f(x, y) = In[ e – x² – y°]

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Q: Find the value of the composed function at the given point. If f(x) = -6x – 4 and g(x) = -2x + 4,…

A: Solve the function

Q: Find f, (x.y) if f(x.y) = x² - 7xy – 9y². (x.y) =|

A:

Q: Use a formula to express y as a function of t if  y = 3x2 + 9x and x = t − 1.   y =

A: First of all, both equations i.e. y in terms of x and x in terms of t.

Q: Find all points (x, y) where the functions f (x), g(x),h(x) have the same value: f(x) = 2"-5 + 3, 8…

A: fx=2x-5+3, gx=2x-5 &amp; hx=8x+10

Q: Find all points (x, y) where the functions f(x), g(x), h(x) have the same value: f(x) = 2"-5 + 3,…

A: Given that, the functions are fx=2x-5+3, gx=2x-5 and hx=8x+10.

Q: Suppose z is a function of r and y, and x² + y² + z² = xe² + ye² + ze³. Solve əz əz for and əx ду

A: Topic = Derivative

Q: Suppose z is a function of x and y, and z^xe^6y=y2+x2. Solve for ∂z/∂x and ∂z/∂y. [b]

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Q: The function f(x) = 2x + 6x² – 5x + 1 is concave downward on the interval None (-0, –1) (-0, c0)…

A: Concavity.

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

A: We can find the linearization as below.

Q: of find and of For the function f(x,y) = x+ 8y ду

A: Function given is- f(x,y)=6x+8y To find- ∂f∂x and ∂f∂y ∂f∂x=Partial derivative with respect to  x…

Q: Let h:R→R be the quadratic function defined by, h(x)=3-x. Then the range of h is

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Q: Compute f(x) and f(x) dx for the function f(x) = ∞  ∑…

A: f(x)=∑n=0∞x2n2n !.....(1)This is the well known series of the cosh(x)cosh(x)=∑n=0∞x2n2n !Now as we…

Q: f(x) a) h'(2) for h(x) = b) k'(4) for k(x) = g(f(r)+r). [Hint - You'll need to use the chain rule…

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Q: find the maximum and minimum values of f(x,y)=x3+3xy2-3x2-3y2+4

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

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Q: The functions f(x) =x-1 and g(x) = 2-2x are linearly dependent. Justify your Answer T F

A: Two functions are said to be linearly dependent if one function is written as scalar multiple of…