f(x) = x³ – 3 %3D

Q: Find the interval on which the graph of f(x)=ln(x^2+1) is concave upward ?

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Q: s rate of change of the function at the given x-value. f(x) = 3x2 + x − 3 at x = 1

A: Given: fx=3x2+x-3 To find rate of change of f(x) at x=1

Q: Find the domain of the function. f(x) = ln ( 1/ (x + 1)

A: f(x)=ln1x+1

Q: Given the function g(x) = -x² + 5x +14, determine the average rate of change %3D of the function…

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Q: d) Find the value of the constants ´ a ' and “ b ` that makes the function continuous at x=3 ; x3

A: f(x) is continuous at x = k if

Q: find the points of inflection and discuss theconcavity of the graph of the function. y=x-\ln x

A: Consider: y=x-ln x. Find the inflection points and concavity of function. First find the domain of…

Q: Find the domain of the function. f(x) = ln(x^2 + 1)

A: Definition used:The domain of a function is the complete set of possible values of the independent…

Q: Use this formula to find the instantaneous rate of change of the function at the given x-value.f(x)…

A: Given function is

Q: We are given f(x) = 9x2 and f '(x) = 18x. Find the instantaneous rate of change of f(x) at x = 2.

A: Given function is

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

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Q: Given the function f(x) = x² + 12x. (a) Find the average rate of change as x changes from 3 to 5.…

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Q: Find the domain of the function. f(x) = √(ln x)

A: To find domain of the function fx=lnx. Solution: Domain is the input value for which a function is…

Q: Find the average rate of change of the function f(x) = x² -3x + 5 between x = 0 and x = 2.

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Q: The function below has a critical point at x = 3. What is the exact value of b (as a fraction - no…

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Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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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: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = Inx?;…

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Q: Find f'(x) and find the equation of the line tangent to the graph of f at the indicated value of x.…

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

A: Solution Given Find the derivative of the functionf'(x)=xx2+1To find the criticle Number derivative…

Q: Find the inflection points of the function f(x) = ln(x^2 + 1)

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Q: Find a real number a such that the instantaneous rate of change of the function flx) =2x²+ 4x+7 at x…

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Q: Consider the production function:           Y = 0.75X + 0.0042X2 – 0.000023X3 (a) At what level of…

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Q: Write the formula for the cost function C(x) in terms of R(x) and P(x).

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Q: What is the closest value to the instantaneous function at x = 2? f(x), 2x-1 3x+1 O_1 49 O. 49 1 49

A: A function f is said to be continuous in the open interval (m, n), if it is continuous at each point…

Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: Given f(x)=2x2+4x+3, find the average rate of change of f(x) from x=−2 to x=t.Give your answer in…

A: The problem concerns the variation of the values of the given function over a given interval

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 marginal profit for producing x units. ( P = -0.3x³ + 10x² – 168.45x - 3000 dP dollars per…

A: Marginal profit is the measure of the increment of the profit function for unit increment of x, at a…

Q: Find the average rate of change of the function f(x)=−2x^2+5 between x=−1 and x=3

A: given function :

Q: 6. find all local extremum value in this function f(x)= xʻe* م م م م و و ه و و و و و و ه و و و و و و…

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Q: Find the instantaneous rate of change of the function fwith respect to x. (x)=x³(4x-5) Answer:…

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Q: Find the demand function x = f(p) that satisfies the initial conditions. dx 800 x = 20,000 when p =…

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Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: Find the relative extrema for both functions using different methods f(x)=x^3√(2x-1)…

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

Q: At what value of x does the local max of f(x) occur?

A: Given, fx=∫0xt2-491+cos2tdt

Q: Find the absolute extreme values of the function on the interval. f(x)=ln(x+2)+1/x , 1 less than or…

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Q: Find the instantaneous rate of change for the function at the given value. F(x) = x2 + 3x at x = 8…

A: Given that Fx=x2+3x We have to find the instantaneous rate of change for the given function at x=8…

Q: 2. Determine the zeroes of 2 x² = x f(x) instantaneous zeroes using a table of values. — 3x 4 and…

A: To find the zeroes of the polynomial.

Q: Find all relative extrema of F(x)= Ln(x^3+3x^2+2)

A: Given, f(x) = ln(x3 +3x2 +2 ) Differentiating the f(x) with respect to x f'(x) = 3x2 +6x +0x3 +3x2…

Q: A new computer costs $2000 today and decreases in value at a constant rate of $500 per year. Denote…

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Q: Given the revenue function R(x) = x³ + 3x2 +x .Find the average revenue of producing 100 units. %3D

A: Given the revenue function, R(x), the average revenue of producing 100 units is R(100)100

Q: For the function given by g (x)= x² + 2x +1, find the average rate of change of function over the…

A: We will find the average rate of change of function as following.

Q: Find the intervals of increase and decrease  for the function.   f(x)= ln(lnx-4)

A: Simple increasing and decreasing problem.....

Q: Find the value of constant K that makes the function below continuous at x = 4. x2 - 4x X< 4 f(x) =…

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Q: Find the values of x for which y is increasing most rapidly or decreasing most rapidly. 112 Let y =…

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Q: Find the average rate of change of the function g(x) = x³ – 7x + 9 from x = 0 to x = 3.

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Q: On the function f(x) = 2x2+x-1, determine the average rate of change from x=1 to x=3.

A: It simply solve by the function average definition

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: Given the function f(x)=3x2+2x+2   find the average rate of change of f on [x,x+h]

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