What is the domain and range of the function = V25 – x? 18 - y ? D:(-01-2)u(-2,2) u(2,00) O A) R:(-\-1/5)u(0,-) O B) D:[-5,5],R:[0,5] D:[-9,9], R:[0,9] O D) D:[-7,7],R:[0,7] D:[-8,8],R:[0,8] O E)

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

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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: Decide which of the two given functions is linear and find its equation. 3 6. 10 15 f(x) 0 3 47 77…

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Q: A water ride with heights above and below the starting point can be modeled by the function y =…

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Q: Estimate f (2.1, 3.8) assuming that f(2, 4) = 5, fx(2, 4) = 0.3, f y(2, 4) = -0.2

A: Given : f2,4=5.fx2,4=0.3 , fy=2,4-0.2The linear approximation is :Lx,y=f2,4+fx2,4x-2+fy2,4y-4Now,…

Q: Determine whether there exists a constant c such that the line x + cy = 1: passes through (3, 1).

A: We have to determine the value of constant c such that the line x+cy=1 is passing through the point…

Q: An Object moved in horizontal coordinate line according to f(x) = x^3 - 6x^2 , where f is directed…

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Q: Show that f(z) = 3z2 + 2z + 5 is analytic function.

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

A: We will find out the required value.

Q: What are the domain and range of g(x) = 3√x+4? OD: [3,) and R: [0, ∞) OD: [4,) and R: (-∞, 0) OD:…

A: The given function is: g(x)=3x+4

Q: Marissa must decide between one of two companies as her long-distance phone provider. Company A…

A: The monthly fee is the y-intercept and the per minute charge is the slope. Put the information to…

Q: 2-→Find-the-residues of the-function-at-its-poles F1:(2)-(2-z-+3)/(z²-4)1

A: The given complex function is: F1(z)=2z+3z2-4

Q: Suppose that z = f(x, y) is implicitly defined as a function of x and y. Determine for 4x²z³ - 5yz²…

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Q: Consider the function defined on the indicated interval. f(x) = 2a° – 18x2 + 48x – 36, [3, 6] Find…

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Q: functions f1(x) = ex+2, f2(x) = ex-3 linearly dependent or linearly independent on (−∞, ∞)? Explain.

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Q: At which ordered pair will the function f(x) = v-x - 2 – 2 begin on the coordinate plane? %3D ([?],…

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Q: f(x, y) = /4 – x² – y² + V1 – x? -

A: To find the domain of the function, f(x,y)=4-x2-y2+1-x2

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 is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

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Q: One of the two tables below shows data that can best be modeled by a linear function, and the other…

A: First compute the first order and second order difference in given table: since the successive…

Q: 2-→ Find-the-residues-of-the-function-at-its-poles F1:(z) = (2-z-+3):/(z²-4)¶

A: We need to find the residues of the function F1(z)=(2x+3)/(z2-4) at its poles.

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

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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: Suppose the price of land in a city is given by the function P(x,y) = 227 – 10( x - - 15(y – 1)²…

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Q: A particle is moving in a straight line according to the linear position function s(t) = t3-6t2+9t,…

A: Given s(t) = t3-6t2+9t

Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

Q: (1, if x 2

A: Using the given piece wise function, we can plot it in given intervals.

Q: What is the range of the function y=f(x) =2sin 57 A [-3,7] B B [-7,-3] В © [-7,3] D D [3,7]

A: We have to find range of give function.

Q: 3- Find the root of function F(x) = x² – 10 Using XL=3 , X,-4 , ɛ = 0.1

A: given function Fx=x2-10 with condition XL=3, Xu=4, εS=0.1 claim- find the roots of the function

Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

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Q: 1. Can Rolle's Theorem be applied to y = (x – 2)5 on the interval [0, 4]? Justify.

A: we will see how to proceed

Q: Consider the function f(x) = x³ – 3x2 – 9x + 4 At what interval is the function concave upward? -…

A: The function is given by fx = x3-3x2-9x+4 To evaluate: The interval on which the function is concave…

Q: The productivity of a manufacturing company is given approximately by the function f(x,y) = 20x y0.5…

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Q: Suppose that f(x, y) = yVx³ + 1 on the domain D = {(x, y) | 0 < y <x < 3]

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Q: The slope y-intercept form of a linear relation is represented by y=mx+by=mx+b.  Which equation…

A: Solution: The objective is to find equation shows x isolated correctly for this formula

Q: 4- х, хS0 10) Determine if the function y(x) =- 3x, is differentiable at x = 0. X>0

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Q: 1. What linear function,  y has f(0) = 8 and  f(7) = 14?

A: Linear function

Q: 1. Can Rolle's Theorem be applied to y = (x – 2)3 on the interval [0, 4]? Justify.

A: Check differentiability at x=2

Q: Over which interval is the function f (x) = x3 -4x2 + 5x concave upward?

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Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…

Q: Find the domain of the function. 4) f(x) = x2 + 3 A) (-«, -3) u (-3, ∞) C) (-3, «) 4) B) (-*, «) D)…

A: We will find out the required domain.

Q: An F-curve has df = (8, 19). What is the number of degrees of freedom for the a. denominator?b.…

A: Solution:Given that,An f curve has d.f= (8, 19)

Q: manufacturer finds that the revenue generated by selling x units of a certain commodity is given by…

A: Given query is to maximize the revenue.

Q: Q5- Show that are eventually fixed point for the function: '5' 4x 0 <x < く 2 - 4x <xく f(x) = 4х - 2…

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Q: Identify the removable discontinuity. f(x) =  x3 + 2x2  over  x + 2

A: Given query is to find identify the removable discontinuity.

Q: What are the minimum and maximum values of the equation f(x) = 5x - 2x < +1 on the interval (-2, 2)?…

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Q: Show that f(z) = 3z² + 2z+5 is analytic function.

A: Given

Q: 4. Determine the number of zeros of the function f(2) = 2zª – 2iz³ + z² + 2iz – 1 - in the upper…

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