Evaluate the function at the specified points. f(x, y) = x + yx“, (-5, 5) , (2, 5) , (–5, –2) At (-5, 5): At (2, 5): At (–5, –2):

Q: Suppose that f(x, y) = at which %3D - {(x, y) | 3 < x < 4, 3 < y < 5}.

A: we have ,  f(x,y)=xy at which (x,y)|3≤x≤4,3≤y≤5 we have to calculate,  ∫∫Df(x,y)dxdy

Q: Find the interval of x-values on which the curve is concave up and concave down , then sketch the…

A: Since you have asked multiple question, we will solve the first three subparts for you. If you want…

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: Show that the function f defined by (r, y) = (0,0) f(x, y) = { 22 + y (r, y) # (0,0) x + y

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Q: Find the derivati ve of the function at the given point in the direction of A. f(x, y) %3DIn(6x -…

A: We need to find unit vector in the direction of A vector and gradient vector at point (10,-10)

Q: Find the absolute extrema of the function on the closed interval.

A: Given: To Find: Absolute extrema of the function on the closed interval. Concept:

Q: Verify that fy=f for the following function. "yx 5,3 6,4 f(x, y) = 2x°y³ - 8x°yª 5,4 = 10x*y³ –…

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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: The set of all points where the function f(x) = x |x| is differentiable is (A) (-∞, ∞) (B) (-∞, 0) U…

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Q: Determine the global extreme values of the function without using calculus. f(x, y) = x + y, 0 < x <…

A: Given Data: Function: fx, y=x+y Range of x: 0≤x≤2 Range of y: 0≤y≤2   The maximum value of x and y…

Q: Determine and distinguish the stationary values of the function f(x, y} = x² – 6x² – 8y². -

A: We need to find the stationary value of f(x,y)=x3-6x2-8y2   For that first we need to find the value…

Q: For the function f(x,y) = 5y + x, find f(3, – 5), f(- 1,4), f(- 3, – 4), and f(0,7).

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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…

Q: Find and classify the stationary points of f(x) 2x} + 4x,x3 – 10x,x, + x}

A: Given,     f(x)=2x13+4x1x22-10x1x2+x22

Q: Suppose that f(x, y) = yvx* + 1 on the domain D = {(x, y) | 0 < y < x < 5}.

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Q: Assume that f(r, y) is a function given by if (r, y) # (0,0), f(r, y) = 0 if (r, y) = (0, 0).

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Q: Show that if f (x, y, z) = 0 then = -1.

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Q: Find the indicated value of the function f(x,y,z)=2x-7y + 4z³ -7. f(6, -5,3) f(6, -5,3)=

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Q: Suppose that F(t) is a twice-differentiable function of one variable. Define the function f(x,y) =…

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Q: Find

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Q: Determine the global extreme values of the function on the given domain. f(x, y) = 3x³ - 7y, osx<1,…

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Q: Find a function y(x) such that 4yy' = x and y(4) = 6

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Q: Find and sketch the domain of the function In(x + y) f(x, y) 1– y?

A: From the given information. The function in x and y is as follows. fx,y=lnx+y1-y2

Q: Let f(x) = x -[r] and f :[1,5) →[0,1). What is the discontinuously type of f(x) at the point x = 3?

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Q: Select the option that gives a list of the stationary points of the function f(x, y) = x – 6x² – 3xy…

A: we have given f(x, y)  We have to find the stationary points

Q: Find the linearization of the function at a . f(x) = sin x    , a = pie /6

A: The given function fx=sinx, a=π6

Q: Find the interval in which the function is positive. f(x) = x2 - 7x + 10 %3D I. (- , 2) II. (2, 5)…

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Q: Find the linear approximation of the function f(x) = (1 − x) ^1/2 at a = 0. Use this linear…

A: Consider the given information. fx=1-x12 The linear approximation is defined as, y=fa+f'ax-a And,…

Q: The interval over which the function f(x) = becomes continuous is %3D x+8 (-3, 0) (-3, 3) (-00,…

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Q: ) Verify the continuity of the function f(x, y) 26– 2x -- y at the point (2,-3).

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Q: Determine the point at which the function is not analytic iz² – 2z ƒ(z) = 3z + 1 - i

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Q: Suppose that f(x,y,z)=x^2yz−xyz^3 is a function of three variables.

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Q: Determine the values of a and b such that the function is differentiable on (-, x2 +b, x〉2

A: Given piecewise function is:A function is differentiable when it is continuous and the left and…

Q: Find f, for the function f (x, y) = yx-2z'y %3D

A: we have to partially derivative

Q: Find a function y(x) such that 3yy' = x and y(3) = 3. y =

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Q: ) Find an analytic function f(z) = u(xr, y) + iv(r, y) with real part -. -----) u(r, y) = x? – y? +…

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

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Q: Find the inflection point of the function f(x) = x°In(x). %3D (x, y) = (

A: The given function is fx=x5lnx

Q: Consider z as function of the variables x and y, it is defined by :

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Q: В. Find az if z = f(x, y) is implicitly defined as a function of x and y for the equation below…

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Q: Determine the number of stationary points of the functionf(x)=x(x−1)(x−2)and indicate the intervals,…

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Q: Let P= (x,y) be a point on the graph of y = x. Express the distance, d, from P to (7,0) as a…

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Q: Describe the domain and range of the function. f(x, y) = In(xy-1) Dor

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Q: Find a function y(x) such that 6yy' = x and y(6) = 3. y =

A: The objective of the question is solving the differential equation.

Q: Find y as a function of a if y(0) = 8, y(0) = 4, y"(0) = 134. y(x) = y"8y" -y + 8y = 0,

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Q: Differentiate the function with respect to y. A Z = + Bey z' = уб 6

A: Given is the function  z=Ay6+Bey Differentiate the function with respect to y and with respect to t…

Q: Evaluate the function at the specified points. f(x, y) = y+ xy', (-2,4), (1, –3), (3, 1) At (-2, 4):…

A: Topic: function

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.