Find the points on the graph of the function that are closest to the given point. f(x) = x² – 9, (0, -2) (x, y) = (smaller x-value) (х, у) %- (larger x-value)

Q: Find an equation of the level curve of the function h(x, y) = 3 – x2 - y? that passes through the…

A: Given that the function is      h(x,y) = 3-x2-y2 We have to find an equation of the level curve of…

Q: nd the points where the function f(x) = (x² – 1)³ is decreasing, -

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Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

A: Given, a parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Let the…

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: Find the length of the graph of the function y = ln (1 - x2), 0 ≤ x ≤ 1/2.

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Q: find all possible functions with the givenderivative. y' = 1 - 1/x2

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Q: Find the formula for a function of the form y=be^((-(x-a)^2)/2) with its maximum at the point (0,5).…

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Q: At what value of x does the function f(x) = 3 x- x change from decreasing to increasing? %3D

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Q: The function y = 2x2 - ln 4x (x 7 0) has one minimum point. Find its first coordinate.

A: Given  y = 2x2 - ln 4x

Q: For function, find (a) the critical numbers; (b) the open intervals where the function is…

A: Given equation is: y = -3x - 16

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

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Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Question- Find the point of diminishing returns (x.y) for the function R(x) , where R(x) represents…

Q: Given the function h(x) = x^2 + 10x * 21, determine the average rate of change of the function over…

A: Given function h(x)=x2+10x+21       , -10 <x<-3

Q: Find the domain and range of the function f(x, y) = ln(5 − x − y)

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Q: Differentiate. f(x) = - 2 e -X t'(x) = ]

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Q: find all possible functions with the givenderivative. y' = 5 + 1/x2

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Q: For the function g(x) = x², the average rate of change for the interval [-1, 3] is: For the function…

A: Here we have to find average rate of change of function.  The given function is g(x)=x2

Q: find all possible functions with the givenderivative. y' = 2x

A: According to the question, we have to find all possible functions with the given derivative y'=2x.…

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Consider the given function,First find the derivative of the given function,

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

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Q: 2. Find the domain and range of the function y = Vx + 4

A: We Know that  Domain: The set of all points over which a function is defined. Range: The set of…

Q: 2. Find an equation and sketch the graph of the level curve of the function f (x, y) = 16 – x² - y2…

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Q: find all possible functions with the givenderivative. y' = 2x - 1

A: Given y'=2x-1 that is  dydx=2x-1 Integrating with respect to x, ⇒y=x2-x+C Where C is the constant of…

Q: Find the average rate of change of the function f(x)=-2x^2-1x+6, from x=-2 to x=0. Find the average…

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Q: The height of an arch above the ground is given by the function y=10sinx, for 0 less than or equal…

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Q: f(x) = -x2-6x-6 Find the average rate of change over the interval [-3,1]

A: The average rate of change over the interval [-3,1] is given by:

Q: 16. Find the range of the function y = 1+ x2

A: Range: The range of the function is the set of all values of the dependent variable y corresponding…

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

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Q: 3. Armaan claims that the functions f(x) = 32x + 5 and g(x) = 32* + 8 have different instantaneous…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: find all possible functions with the givenderivative. y' = x2

A: Given function  y'=x2 That is dydx=x2dy=x2dx

Q: f(x) = is the range in which the function is decreasing.

A: fx=exx Differentiating with respect to x, we get f'x=dexdx·x-dxdx·exx2…

Q: 9. Factor and sketch f (x) = -2x° – 10x + 18x + 162x³ + 216x² %3D b) State when the IROC is zero c)…

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Q: A company has found that its rate of expenditure​ (in hundreds of​ dollars) on a certain type of job…

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Q: Consider the function f(x) = 2x interval - 2, 2|. Find the average or mean slope of the function on…

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Q: Find the average rate of change of f(x) = 9x2 – 8 on the interval [2, t]. Your answer will be an…

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Q: Find the average rate of change of the function f(x) 2x2 2x- 2, on the interval x E [2,4]. Average…

A: The average rate of change between two input values is the total change of the function values…

Q: find all possible functions with the givenderivative. y' = 4x - 1/√x

A: Giveny'=4x-1x  To Find: All possible function with the above derivative

Q: Find the critical point of the function f(x, y) = - 5 – x + 4x? + y + 3y? This critical point is a:…

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Q: Given the function g(x) = -x² + 6x + 11, determine the average rate of change of the function over…

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Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: Find the average rate of change of the function from x1 to x2. Function x-Values f(x) = -3x3 + 3x? +…

A: Recall: Average Rate of Change of a Function :        Ax=f(b)-f(a)b-a; where , f(a) and f(b) are the…

Q: Find the equation of the function f whoseg 3 f'(x) = (0, 4) %3D -- 1 + e

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Q: f(x)=2x^3-(15x^2)-36x+7 on the interval [-6,9]  Find the average slope of the function on this…

A: We know that,

Q: The average cost function for the weekly manufacture of retro portable CD players is given by C(x)…

A: Given, function is

Q: 2. f(x) = 6x - 1 slope: of f = of g y-intercept: of f= of g=

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Q: 3. Given the function g(x) = x - 2x2 + x, find the interval(s) when g is concave up and decreasing…

A: We have given a function g(x).  We have to find the interval where g is concave up and decreasing at…

Q: Find the point on the graph of the function that is closest to the given point. f (x) = Vx - 3 (18,…

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Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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Q: 4. Given the functions X, (x)-(+) and (x)-(+) = = rapidly than f₂ f increases fill in the blank…

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Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: