• f(0) = 1 ● lim f(x) = lim_ƒ(x) = 0 x →∞ x118 • The values of f'(x) and ƒ"(x) are as follows: f'(x) < 0 f'(x) > 0 x < -1 or x > 2 −1 < x < 2 ƒ" (x) < 0 | x < −2 or 0 < x < 4 ƒ" (x) > 0 −2 < x < 0 or x > 4 (a) Identify any horizontal asymptotes. (b) On what interval(s) is f(x) increasing?

Q: consider a function f, defined by f(x,y) = -y/√x2+y2   what is the behavior of f along the line…

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Q: Let f(x) = m1x + a and g(x) = m2x + b, where m1, m2, a, and b are constants. Determine the necessary…

A: f∘g=g∘ffgx=gfxfm2x+b=gm1x+am1m2x+b+a=m2m1x+a+bm1m2x+m1b+a=m1m2x+m2a+bm1b-b=m2a-abm1-1=am2-1

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Q: Locate and classify the local extremum of the function f (x, y) x² + y? – 8x – 2y + 6. | -

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Q: √x² + y² x-1 (a) Find and sketch the domain of f (x, y). 2. Consider the function f (x, y) = 4 (b)…

A: The given function is  f(x,y)= x2 +y2-4x-1 We know that the domain of a function is the set of…

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A: Given: f:X→Y and  g:Y→Z be two bijective functions. To Check: Whether the function h:X→Y×Z defined…

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Q: Let f (x, y) and g(x, y) be functions of two variables withthe property that ∂ f/∂x= ∂g/∂x and ∂…

A: Given: f(x, y)  and g(x, y) be functions of two variables with the property that ∂g∂x = ∂g∂x and…

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Q: Consider the equation G (x + y + z) −F (x + y + 1) = 2021, which implicitly determines z as a…

A: Given equation is Gx+y+z-Fx+y+1=2021 Here, z is the function of x and y.

Q: The function f(x) = 6e-2x is concave upward over the interval: a b C Od (1, +∞0) (-∞, +∞0) (-∞0, 0)…

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Q: Find the interval for x where f(x) is increasing in this function: y = (x – 2)² - 3 O (- 3, 0) O (2,…

A: To determining intervals where a function is increasing or decreasing, first find domain values…

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A: Explanation of the answer is as follows

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Q: Let f(x, y) = 3x² + 4y? – axy. (a) Find the values of a such that the graph of f increases when…

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Q: Calculate the maximum and minimum of the function f (x,y) = xy subject to the condition x2 + y2 = 1

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Q: Consider the function f(x, y) = x² – 6x + y? –- 2y + 10. Sketch the domain of the function h defined…

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Q: Find and sketch the domain of the function f (x, y) = In(9 – x² – 9y²).

A: The given function,  f(x,y)=ln9-x2-9y2

Q: Let the function f(x) be given as follows: ax + b, x<1 f(x) = ; lt +x + 1, x 21 Employ appropriate…

A: is differentiable. Therefore, we have, RHD=LHD=f(x) Now,