(b) Write the following function in the form of y = f(u) and u = g(x), then find as a function of x . y = +x-

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A:

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A: In the table notice that −2→12 and 6→12.

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A:

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

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A: Graph is a pictorial representation of various points .  For plotting the graph of a function…

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A: we have to check

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A:

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A: Here we determine whether the equation xy-5y=1 defined y as a function of x.

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A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

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Q: For the function f(x,y) = 8x² + 7y², find f(x + h,y)-f(x,y) = h f(x + h,y)-f(x,y) h

A: Given, f(x,y)=8x2+7y2

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…

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A:

Q: as a function of x when y =

A:

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

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

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

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

A: Graph

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A: Given,           x =  |3y|

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

A: Use quotient rule for derivative

Q: (b) Write the following function in the form of y = f(u) and u = g(x), then find as a function of x…

A: Please refer the attached image for complete solution.

Q: y>x-1 is not function صواب ihi

A: Given: y≥x-1 is not a function   To determine: If the given statement is true or false.

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A:

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

A:

Q: For the function f(x, y) = /(x – 1)² + y² +1 a) Categorize the domain and range for function f(x, y)

A: Given,  f(x,y)=(x-1)2+y2+1

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A: Given f(x)=x2+x, x=3, x=6

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A: To check whether x2 + y = 10 define y as a function of x.

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

A: Givenf(x)=1x+6

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Q: From now on consider the function f(x, y) = e$n(x) y.

A: direction of fastest increase is along the gradient vector  Given f(x,y)=esinx y

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A: The given linear function is: fx=-2x-2

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A:

Q: For the function f(x,y) = 5x² + 6y², find f(x + h,y)-f(x,y) h 11 f(x + h,y)-f(x,y) h

A:

Q: Find the domain of this 2-variable function and sketch it (shade it in): f (x, y) = V1– x² – y2 y 1…

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

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Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: Find the function y(x) such that y′′(x) = 0 with y(1) = 2 and y′(1) =−1.

A: Given y′′(x) = 0 with y(1) = 2 and y′(1) =−1. y''(x)=0, with y(1)=2 and y'(1)=-1Now integrate both…

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A: see below the answer

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

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Q: x², -2sx<1 (x+1, 1sx<2 For the piecewise-defined function f(x) = }

A: fx=x2,-2≤x&lt;1x+1,1≤x&lt;2

Q: The derivative of the function f(x) = 18 is 1 5x 18 5x + 18 18 5x4 + (x) 18 5x4 (교2) 18 5x4 + (23)

A:

Q: Given the equation 3x + 2xy -y = 0, evaluate Assume that the equation implicitly defines y as a…

A: We have to find the derivative dydx of the given function.     According to our guidelines, we can…