Q2) Find all local Extreme and Saddle points of the 2x-2y +y +4 function f(x,y)-xy-x-y

Q: Prove algebraic ally that any function of the form f(x)=ax2n+4 (where n is an integer) is symmetric…

A: The given function is fx=ax2x+4. To prove fx=ax2x+4 is symmetric to the y-axis, it is enough to…

Q: 4. Find all relative maxima, relative minima, and saddle points for the function: f(x.y)= 2x³ + xy²…

A: Given: The function, fx,y=2x3+xy2+5x2+y2.

Q: Let f(x) = (x-9)7 – 8, determine f¯¹(x). - ƒ¯¹(x) =

A: To find the inverse of the function f(x) = (x - 9)7 - 8, we need to express x in terms of y, where y…

Q: Use Lagrange multiplier to find the maximum or minimum value of the funetion f(x, y) = 49 – x2 -y?…

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Q: The curve represented by r(t) = f(t)i + g(t)j + h(t)k is a line. Are f, g, and h first-degree…

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Q: (a) Sketch the natural domain of the function f(x,y) = √√24 - x² - y².

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Q: Show that f is linear of slope m if and only if f(x + h) - f(x) = mh (for all x and h)That is to…

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Q: f (x) = -x² + 5æ, [0, 5]

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Q: Q9- Find the turning points of the function f(x,y)=x^2+ 2xy and state whether the points are max,…

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Q: Suppose a firm's technology is represented by the production function f(L, K) = min(L, 2K), where L…

A: As we know that all isoquant curves are strictly negative sloped hence, if one of the point is (4,…

Q: Sketch the graph of f (x) = x 2 + 1 over the interval [-2,2]

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Q: Draw the graph of f (x) = 3x +7/5x - 25 in the window [0, 25] by [0, 50]. Use the trace feature of…

A: Given: fx=3x+75x-25 in the window [0, 25] by [0, 50].

Q: 2. Find all relative maximum(s), relative minimum(s), point(s) of inflection, and interval on which…

A: A function y  We have to find relative maximum  Relative minimum and inflection points

Q: Find the maximum and minimum values of f(x) = x3 − 6x2 + 8 on the horizontal span of 0 to 10.

A: We're tasked with finding the maximum and minimum values of the function f(x)=x3−6x2+8 over the…

Q: Find the absolute maximum and absolute minimum of f(x) =2x2-3x2-36+2 on the interval [0,5]

A: We are given function : f(x)=2x3-3x2-36x+2  To calculate the points  maxima and minimum we will put…

Q: fƒ(x) = x² + 2x − 1, g(x)=2x-3, evaluate (gof) (2)

A: Given query is to find indicated composite function m

Q: f(x) = 2 - 1x + 1 4 (x - 4)2, x + 16, x ≤ 0 0 <x

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Q: Two functions f, g are defined as follows: Find a) ƒ-¹(2) b) (gof)(-4) f(x) = 3x + 5 g(x) = 2(1-x)

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Q: Find all maximum, minimum values and saddle points if any of the function f(x, y) = 10xye-(x²+y?)

A: We have to find Maximum, Minimum and Saddle points of given function using Second Derivative Test.

Q: determine the horizontal asymtope of f(x) = 2X divided X -3

A: The given function is .To find the horizontal asymptote of the function.