1. Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8), (2, 6), (5, 3), (1, – 6)} b) R2 = {(x,y)|y = 5x -}} %3D

Q: Calculate the approximation for the given functionand interval:                    M4, f (x) =√x,…

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Q: F(X) = x,3+x,3 – 3x,x2

A: Given:- F(x) = X1 + X2  -3 X1 X2  TO FIND:- Classify all stationary points

Q: For the function y = (x − 2) In x, what are the two x intercepts, and between the two intercepts, is…

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Q: You have the following data points which belong to a function of the form y = ae , where b can be…

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Q: What are the values f(4) and f 0 (4)

A: Given Data: Graph: y=fx Point 1: Ax1, y1=A4, 3 Point 2: Bx2, y2=B0, 2   The value of f4 will be…

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to…

A: maxima minima question, if it is helpful, like and thumbs up.

Q: I. Use the definition of the derivative f'(x) = following functions. Show your step by USTO COM…

A: Vt=t+1t+4

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: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according…

A: minimum cost

Q: Find and classifythe extreme Point of the function f(x,y)= 3yx+x -3*2

A: Given function,  fx,y=3y2x+x3-3y3-3x2+2 Partially differentiating w.r.t. 'x' to both sides-…

Q: Sketch the level curves of the function f(x, y) = y + x? for c = 3. 7- 5- 4- -6 -5 -4 -3 3 4 5 6 -2…

A: Solution ) f(x,y) = y + x2  f(x , y ) = c  y + x2  = c  y + x2 = 3  y = -x2 + 3 To find the vertex…

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: Sketch the level curves of the function f(x, y) = y + 3 corresponding toc = 2, c = -4, and c = 4. 6-…

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Q: Q3. At what points are the functions continuous 1 x+3 y = x-2 - 3x, y = х2-3х-10" у%3D (2х — 1)5

A: The points of discontinuity of the function are where the function becomes not defined.

Q: Which of the following is y' for the implicitly defined function æ²y = 5? Oy' = -2x Oy' = -2xx' -2y…

A: Given that: x2y=5

Q: 9. Determine the coordinates of a point(s) that do not change between the original and the…

A: Given that: f(x)=-x2+5

Q: 5. Eliminate the arbitrary constants from the relation y = Ae* + Bxe²*.

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Q: Let (x0, yo) = (2,6) and (x1, Y1) = (2.5, 6.2). Use the following graph of the function f to find…

A: Given that, The points of passing of function f are following, (x0, y0) = (2, 6)   and     (x1, y1)…

Q: Sketch the level curves of the function f(x, y) = y + 2 corresponding toc = 4, c = 0, and c = – 4.…

A: Equation of level curve  y+2x=cor y+2=cxor y=cx-2

Q: For the below function, find the stationary point(s) and prove if a maximum, minimum, or a saddle…

A: The given function is fx,y=-x2+6xy+y2-10x-5y. Compute the first and second partial derivatives as…

Q: Suppose f is a linear function such that f(3) = 3 and f(6) = 18. What is the slope m of f?

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Q: find the specific function values. ƒ(x, y) = x2 + xy4 ƒ(-1, 1)

A: Given: fx,y=x2+xy4, f-1,1 for finding given value we substitute x=-1, y=1 in given expression

Q: B. Differentiate the following functions with respect to 'x' i. y (3x² + 2x) (4x² + 4x) 1. y= (3x² -…

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Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: The Cobb-Douglas production function for an automobile manufacturer is f(x, y) = 100x0.6,0.4, where…

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Q: Find the net change in the value of the function between the given inputs. f(x) = 4 - 5x; from 3 to…

A: To find net change in the value of function: f(x)=4-5x;from 3 to 5. Solution:…

Q: Sketch the level curves of the function f(x, y) = y – ? | for c = 1. 4 -6 -5 -4 -3 -2 -2 -4 -7 Clear…

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Q: Apply the definition to differentiate the following functions: 1- y = ₁

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Q: Suppose that a Pizza Store revenues about 20, 000x pesos when employing y clerks. Let P be the…

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Q: Sketch the level curves when z = 5 and z = 8 for the function z = z + y? + 4. Hence, sketch the 3D…

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Q: Identify the relative extremes and saddle points (if any) of the functions bellow. a)f(x, y) = x +…

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Q: Q3. At what points are the functions continuous y =-3x x+3 y = x2-3x-10' y = (2x - 1) X-2

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Determine the stationary values of the function z = x3 – 6x² – 8y² and distinguish between them

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Q: a. Find the inverse of the function ƒ(x) = mx, where m is a con-stant different from zero. b. What…

A: a. given,

Q: Plot the following functions 1. y = - V2x + 1 2. y = (x- 1) + 2 3. y=-1 2x 4. y? = 6 -x 5. y = 1-…

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Q: Also, suppose that T (x, y) = x³y² + 35 is the function that models the plate temperature in D.…

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Q: The Cobb-Douglas production function for an automobile manufacturer is f(x, y) = 100 x0.6 where x is…

A: The Cobb-Douglas production function is a special functional form of the production function which…

Q: 01. What is the point of the minimum of the function y = 4x? + 4x – 15? А. (0.5,-16) В.(-0.5,-16) С.…

A: Given:- y= 4x2 +4x –15 Find the point of the minimum of the function Now, Let the point are (x, y)

Q: Suppose that y is a function of x. Find y' if 2x°y - 3 = 2y + 5.

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Q: Sketch the level curve of the function f(x, y) = x² + y? 2 for c = 1.

A: Level curve:  The level curves of a function f of two variables are the curves with equations f (x,…

Q: Find the net change in the value of the function between the given inputs. f(x) = 4-5x; from 3 to 5

A: We want to calculate net change in given function from 3 to 5.

Q: Find the level curve of the function at c=2 for g(x,y)=(x^3-y)

A: A scalar function g(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: List the points in the graph in the interval - 1<x<6 at which the function is not differentiable. Ay…

A: We have to find the differentiablity at different points of graphs For not differentiablity the…

Q: Sketch the level curves of the function f(x, y) for c = - 3. x + y 10 6+ s+ lo 9 * 9 10 6+ -7+

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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 F. dr,where F(x,y)=j and C isthe part of the graphof y = 12x³ – x from (2,2) to (– 2, – 2)

A: Line integral is integral of some function along a curve or path. Any field for which the line…

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: Consider the function f(x, y) = 4x² – 8y² subject to the condition x + y = 25.

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Q: which of the following relations is currently a functions but fails the vertical line test when the…

A: If a vertical line intersects the graph in some places at more than one point, then the relation is…

Q: Graph the function for the glven domaln. y = 2x D-2,0,2, 4 20 16 12 -8 -12 -16 -20 -n 4. -2 -1 0 1 2…

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