The function f (x) = x3-x . is: х2-1 %D

Q: find all possible functions with the givenderivative. y' = x3

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Q: y = e2=²-x %3D

A: Solve the differential

Q: (d) Find the interval(s) where f(x) is decreasing.

A: There are mainly two ways roughly by which a function's behavior can be obtained and first method is…

Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

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Q: find the value of the constant ( a, b, or c) that makes the function continuous.

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

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

Q: Let f(x) = -x² - 4x + 11. What is the average rate of change from x = -5 to x = 2? %3! O-7

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Q: Find the value of the constant (a , b, or c) that makes the function continuous.

A: the given function is: fx=x2-c          for x<54x+2c      for x≥5 we have to find the value of c…

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

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Q: Given the function h(x) = x² + 2x – 2, determine the average rate of change of the function over the…

A: Now, we are given the function : h(x)=x2+2x-2 Average rate of change of a given function f(x) over a…

Q: The function f(x)=x2 is decreasing on the interval...................... .

A: Given,f(x)=x2 f(x)=x2 On differentiating both sides w.r.t x we get: f'(x)=ddx(x2)⇒f'(x)=2x Now, we…

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: The given function for the revenue from sale of x no. of car seats for infants is R(x)=28x-0.010x2…

Q: What is the equation for g(x) ?

A: The answer is option (A)  g(x)=x+5

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: If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what…

A: Given that f(x) is the slope of a trail at a distance of x miles from the start of the trail.

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

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Q: Given the function h(x) = x² + 10x + 21, determine the average rate of change of the function over…

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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: Put second derivative zero

Q: Given the function h(x) = x² – 7x + 6, determine the average rate of change of the function over the…

A: The rate of change of a function is given by it's derivative.

Q: Given the function h(x) = x2 + 10x + 21, determine the average rate of change of the function over…

A: The objective is to determine the average rate of change of the given function.

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: The range of the finction f (x, y) = lIn(-x²- " + 1) is (0: +00)

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Q: Find the domain of the function: h(x) = ln x2

A: h(x)=ln x2

Q: Find the domain of the function: f(x) = ln(4 - x)

A: we have to find the domain of the given function. f(x)=ln(4-x)

Q: Find the average rate of change of f(x) = 9x² – 3 on the interval [2, t]. Your answer will be an…

A: Use formula of avg rate of change

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: Find the relative extrema for f(x) = x* + 32a²

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Q: Find P(x), the profit function.

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Q: The height of an arch above the ground is given by the function y=10sinx, for 0 <= x<= pi .…

A: The given interval is [0,π] So, a=0, b= π

Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

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: Give the interval where y is decreasing y=x²e^x

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Q: Given the function f(x) = –x² – 5x + 12, determine the average rate of change of the function over…

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Q: Find the interval on which f(x) =x'e is increasing.

A: We find f'(x) using the product rule

Q: Given the function f(x) = -x² – 7x + 19, determine the average rate of change of the function over…

A: Given function is: fx=-x2-7x+19 And the given interval is: -9≤x≤3 At x=-9:…

Q: Given the function f(x) = -x²+ 3x + 8, determine the average rate of change of the function over the…

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Q: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

A: f(x) = −6x + 7 We need a) what is The rate of change of f(x)? b)what is The graph of f and slope and…

Q: The revenue (in dollars) from the sale of x car seats for infants is given by the following…

A: R(x)=24x-0.010x20≤x≤2400 To find average change in revenue apply formula…

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

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Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

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Q: The elevation of a path is given by f(x) = x^3 - 5x^2 + 30, measured in feet, where x measures…

A: The elevation as a function of path is given below.

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

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Q: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over…

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

Q: Find  f' in terms of g' .

A:

Q: On what interval(s) is the function -9x3 g(x) = e both decreasing and concave down?

A: The interval in which the given function g(x) is both increasing and concave down must satisfy the…

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: Using the function f (x) = 2x2 - 3x 1, find the average rate of change of f (x) in the interval…

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Q: Differentiate. f(x) = e 13x f'(x) = |

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Q: Given the function g(x) = -x2 – 3x +5, determine the average rate of change of the function over the…

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