Use the given function and the given interval to complete parts a and b. f(x)=2x^3-39x^2+216x on [3,10]   a. Determine the absolute extreme values of f on the given interval when they exist. b. Use a graphing utility to confirm your conclusions. a. What​ is/are the absolute​ maximum/maxima of f on the given​ interval? Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice.

Q: f(x) = 9x² - 4 at x = 1

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Q: Consider the function f(x) = 2x3 - 6x2 - 18x + 9 on the interval [-2,4]. What is the absolute…

A: Given function - f(x) = 2x3-6x2-18x+9Differentiating f(x) with respect to x - f'(x) =…

Q: Find the maximum value of 9x + 4 – x2 on the horizontal span of 0 to 9. (Enter the maximum value of…

A: We find f'(x) using the power rule Then we find the critical points by solving f'(x)=0

Q: Find max and min of function on the interval    f(x)=-x4-x3+5x2-4 on [-2,1]

A: The given function is; f(x)=-x4-x3+5x2-4 on [-2,1]

Q: Suppose that the tangent line to the graph of a function f at x=2 passes through the point (5,19)…

A: Given that the tangent line to the graph of a function f at x=2 passes through the point (5,19) and…

Q: What is the local maximum value of the f(x) = x3 - 3x +2 on [0.5, 4]

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Q: Find the maximum value of f(x) = 6x +1 - x on the horizontal span of 0 to 6. (Round your answer to…

A: Just use second derivative test.

Q: Use the second derivative test todetermine whether f(x)=-2x³+6x2-3 has a localmaximum or…

A: Given,          fx=-2x3+6x2-3

Q: Find the minimum and maximum values of the function y = 1613 + 2412 on [1,2] by comparing values at…

A: The given function y=16t3+24t2 on 1,2

Q: Find the absolute maximum and minimum values of f on the given interval. f(x)= (cube root of x)…

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Q: In terms of limits, what does it mean for ƒ to grow faster than g as x→ ∞?

A: Suppose we need to find out limits  And f(x) grows faster than g(x), Then denominator gets much…

Q: Find the absolute maximum value of y=sqrt(16-x2) on the interval [-6,6]

A: y=16-x2         -6,6y=16-x212ddxy=1216-x212-1.0-2xdydx=12-2x16-x212dydx=-xx116-x2Now , dydx=0…

Q: Find the minimum and maximum values of the function y = 2613 + 39t² on [1,2] by comparing values at…

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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: Use a graphing calculator to estimate the local maximum and local minimum values of the function to…

A: Local extrema.

Q: Consider the function f(x) = 2x - 9x? - 24x + 9 on the interval [-2, 5]. What is the absolute…

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Q: Find the critical points of the following function on the given interval. Identify the absolute…

A: gx=x4-50x2,  -1, 5 Differentiating with respect to x, we get g/x=4x3-502x   ∵dxndx=n·xn-1=4x3-100x…

Q: Use the First Derivative Test to locate the x-value of all extrema. Classify if it is a relative…

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Q: Find the absolute extrema of the function on the interval [0, 0). (If an answer does not exist,…

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Q: Use the given function and the given 2x +15x -24x on [0,5] . Determine the absolute extreme values…

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Q: Find the absolute maximum and absolute minimum of the function on the interval. f (x) = 5(x² -4)/z³,…

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Q: Use calculus to find the absolute maximum value and the absolute minimum value, if any, of the…

A: Topic:- calculus

Q: Find the minimum and maximum value of f(x) = 2x – 4 on the interval [1, 8]. If necessary, round your…

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Q: Use secant method to estimate a root for function f(x)= x3 + 2.7x+ 2.6 = 0, starting for interval…

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Q: ​f(x)=4xe−4x Identify the location and function value of the maximum of the​ function, if any.…

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Q: For the function f(x) = 2x4 - 16x2 , find and identify any extrema (maximum/minimum) using the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. = 9 + 81x – 3x³,…

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Q: Find the locations of local minimum and maximum of X⁹ x⁹-4x8 using the second derivative test. 32…

A: let f(x)=x9-4x8Differentiate with respect to x 9x8-32x7=0x7(9x-32)=0⇒x=0,x=329  are the critical…

Q: check uniquness and existance for fixed point while f(x)=(2x+1)^-3 in [1,2]

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Q: Find the points on the graph of f(x) = 2x3 + 15x2 - 84x + 12 where the tangent is horizontal. List…

A: we have to find the points on the graph of the function f(x) = 2x3 + 15x2 - 84x + 12 where the…

Q: Find the minimum value of the function f(x) = x³ – 6x² + 4x + 12 in the interval(-2,6] within 10% of…

A: We need to find minimum value.

Q: Find the absolute maximum of x40-x20 on the interval [0,1].Find also its absulute maximum value

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Q: Calculate the approximation M4 for the given function and interval. f(x) = 5-*, [1,3] (Use decimal…

A: Given that f(x) = 5-x, [1, 3]

Q: Determine the open interval(s) in which f(x) = 2x3 – 6x² is increasing or decreasing. Also, ocate…

A: Given        fx=2x3-6x2

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

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

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Q: Find the maximum and minimum values of the function y = V8 + x2 - 4x on the interval 3, 5|. (Use…

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Q: Find a formula for a function that has vertical asymptotes x = 6 and x = 8 and horizontal asymptote…

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Q: A wire of length 8x is bent into the shape of a circle. A. Express the circumference of the circle…

A: NOTE: Refresh your page if you can't see any equations. . the total length of the wire is L=8x so…

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

A: Topic = Functions

Q: Determine where the graph of the function f(x)= 2x-V49-x is concave upward and where it is concave…

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Q: A box with an open top is to be constructed from a rectangular piece ofcardboard with dimensions 12…

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Q: Find the smallest positive root for the given function by using the false position method with…

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Q: Consider the function defined on the indicated interval. f(x) = 2x² – 4x – 6, [–1,5] %3D - Find the…

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Q: the absolute minimum of f(x) = −x3 − 14x2 − 60x − 75 on interval [−7, −5]?

A: To find: The absolute minimum of fx=-x3-14x2-60x-75 in interval -7,-5. Calculation: The derivative…

Q: show that the function has neither an absolute minimumnor an absolute maximum on its natural domain.…

A: y=2x-sin2x The domain of given function is -∞, ∞. The range of sin2x is -1, 1.

Q: Determine the following information regarding the function + 2(x - 4)- A. f (x) f "(x) Intervals of…

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Q: Find the maximum and minimum values of the function y=4x^(3)−4x+6 on the interval [0,2]. (Use…

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Q: Find the critical points of the following function on the given interval. Identify the absolute…

A: Given: fx=2x3-3x2-36x+12 on -∞,∞ To evaluate the critical points find x where f'x=0.…