Are f(x) = and g(x) = 2x + 3 the same function? Do f(x) = 2x² +3x and g(x) = 2x + 3 have the same limit as x approaches 0?

Q: Find a solution of by fixed point method for f(x)=x^3+x-1=0 ?

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Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: The critical points of the function f(x)= 3x -36x+1 are

A: The critical points of a function are the points at which the function is defined but its derivative…

Q: Find the maximum value of the function f(x) = x² . – x within the interval0 < x < 2. -

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Q: The critical points of the function f(x) = 5x² – 6x + 12 are %3D

A: A critical point of a function of a single real variable, f(x), is a value x0 in the domain of f…

Q: Find the absolute maximum value of the function f(x) = (x - *).

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Q: The critical points of the function f(x)= 3x² -36x+1 are

A: To find critical point lets take first derivative of f(x)  and put f'(x) =0

Q: Suppose f'(x) =x++x3 – 6x². Determine the value of x where f has a relative maximum value.

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Q: find the critical points for the function f(x)= 2x³ – 3x² – 72x-11

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Q: Determine critical points of the function f(x)=∣∣x2−4x+3∣∣.

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Q: 3x+8x74 F(x)=(7x-K x<4 X=4 11

A: Given f is continuous at x=4

Q: What is the relative maximum value of f(x) = x³ – 3x + 2? -

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Q: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: At what points of ℝ2 is a rational function of two variables continuous?

A: Given  The  ℝ2 is a rational function of two variables .

Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4

Q: 2. Will the limit of all polynomial functions / (x) as x approaches a be always equal to the value…

A: Find your answer below

Q: 1. Use the limit definition of the derivative to find g'(x) if g(x) = 2x² – 6x + 13.

A:

Q: If f(x) = x -kx^-1 has a relative maximum at x = -2, then the value of k is

A: We have to find value of k.

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

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Q: What is the relative maximum value of the function f (x) = 2/x – x?

A: Note: - “Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Determine all critical points for the function. f(x) = 20x3- 3x5

A: Topic:- calculus

Q: 2. Determine the maximum and minimum value of the function f(x) = 2x' +3x² –12x + 2 over the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

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

A: Given revenue function

Q: Find the minimum and maximum point of the function f(x)=x3-3x+1

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Q: Find the critical points of the function f(x)=8x3−x4.

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Q: How many critical points does the function f(x)=∣∣x3−12x∣∣ have?

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Q: If a and b are positive numbers, find the maximum value of f(x) = x°(2 - x)b on the interval 0sx <…

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

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

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

A:

Q: the first dirivative of f(x) =( 5x4 - 6x)-3 will be _______

A: Given : f(x) = (5x4 - 6x)–3

Q: Suppose f'(x) =x++x3– 6x². Determine the value of x where f has a relative maximum value.

A:

Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Find the asymptotes of the function f(x)=3x2−2x+1x−1

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Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: An asymptote is a line or a curve that the graph of a function approaches. Vertical asymptotes occur…

Q: The critical points of the function f(z) = 9x² - 8x + 16 are

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Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

Q: Vx² - 5x +1 a) lím V4x +3x

A: To find:- limx→∞x2-5x+14x2+3x

Q: Find the maximum and minimum values attained by the function: f(x) = x +-

A: Here the given function as fx=x+5x or fx=x2+5x Differentiate with respect to x…

Q: Find the critical points of the function f(x)=x2lnx.

A: We need to find the critical points of the given function.

Q: Find the absolute extreme values of f(x) = 2x3 - 6x +3 on the interval [0, 3]. |

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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: Find the critical points of the function f(x) = 4x° – 12x.

A: The given function is fx=4x3-12x. The critical points of any function is given by f'x=0.

Q: find the marginal revenue of the function. Using the quotient rule.  40x^2 -20x/x^2-10-2

A: Given: Revenue FunctionRx=40x2-20xx2-10-2 To Find: Marginal Revenue Concept: a. Marginal RevenueMx…

Q: 4) Where is the function g(x) = 3x2 -x+ 5 differentiable?

A:

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Find the value for k so that the function will be continuous at x = -4. f(x) = 7x + 47 -x² + 18x81+k…

A: Topic = Functions

Q: Find the maximum and minimum points of f(x) = x(12 – x)?

A: topic - application of derivatives

Q: find the critical points of the function f(x)=5x3-75x

A: fx=5x3-75x Differentiating with respect to x, we get f'x=53x2-751=15x2-75