The function f(x)=2x^3−39x^2+216x+8 has one local minimum and one local maximum. This function has a local minimum at x =?    with function value  =?  and a local maximum at x= ? with function value=?

Q: Find the critical points, domain endpoints, and local extreme values for the function. y = 4x/16 -…

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Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

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Q: Find the absolute maximum value of f(x) = x² – 2x + 8 over the interval [0,5|

A: The objective of the question is determine the absolute maximum value of the given function.

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A: Given query is to find the number of box needs to be produced to maximize the profit.

Q: Find the quadratic approximation to f(x) = /x + 3 near a = 1. Graph f, the quadratic approximation,…

A: fx=x+3

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: Write apolynomial function of least degree with integral coefficients that has the given zeros. 4 3.…

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Q: The weekly demand for DVDS manufactured by Herald media Corporation is given by p =-.0005x +60,…

A: To find the revenue function, calculate Rx=x·p, where p=-0.0005x2+60.…

Q: f(x) = x2 -x-7 is The relative maximum value of and its relative minimum value is

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

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Q: The function f(x) = 2a* - 39x2 + 240x + 10 has derivative f'(x) = 6x² – 78x + 240. f(x) has one…

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Q: Find the minimum and maximum values of the function y = 3Vx² + 1 – 2x on the interval [0, 6] by…

A: Maximum and minimum value function

Q: Use algebraic methods to determine the critical value(s) of f(x)= x/(x^2-x-2). Give your answers in…

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Q: Plot f (x) = 2√x − x on [0, 4] and determine the maximum value graphically. Then verify your answer…

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Q: Find the x-coordinates of the absolute extrema of f(x) = -x² + 7x on the interval [1, 7]. Absolute…

A: f(x)=-x2+7x differentiating both side f'(x)=-2x+7 now f'(x)=0 -2x+7=0 x=3.5 So x=1, 3.5, 7

Q: Find the absolute maximum and minimum values of ƒ(x) = x2 on[-2, 1].

A: Given,  fx=x2 on −2,1

Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 2 at x = −2 and a…

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Q: Find the absolute minimum and absolute maximum of f(x)=ln(x2+10x+16) over the interval [0,4]

A: It is given that, f(x)=ln(x2+10x+16)   over the interval 0,4we have to find absolute minimum and…

Q: 9. Differentiate the function (use long method): y = xvx-1

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: Does ƒ(x) = (7 + x)(11 - 3x)^(1/3) have an absolute minimum value? An absolute maximum? If so, find…

A: Check the function has absolute minimum value.

Q: How do I find the critical numbers for the function f(x) = x2 – 4x + 2?

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Q: Find the absolute maximum and absolute minimum f(x) = + x2 24x over the interval 2, 6|. -

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Q: y = x3 + 1,

A: We have to find

Q: Does ƒ(x) = 2ex/(1 + x2) have an absolute minimum value? An absolute maximum? If so, find them or…

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Q: Find a 4th degree function that has solutions X=-4-2/3 and x=-4+2/3, x=2i and x=-2

A: See the attachment

Q: y = 3 – 2x + x?

A: In this question, we need to find the critical points and test for maxima/minima of y=3-2x+x2.

Q: b- find any locl maximum and locl minimum values by using first derivative: f(x)=x*-2x²

A: Points of local extremum can be calculated by using the first derivative. These are points which…

Q: How to Find the quadratic function f(x)= ax2+bx+c that goes through (3,0) and has a local maximum at…

A: NOTE: Refresh your page if you can't see any equations. . the vertex form of the parabola is given…

Q: 2. Use the second derivative test to determine the local minimum and maximum points of the graph of…

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Q: Find the values of constants a, b, and c so that the graph of y = ax + bax2 + cx has a local maximum…

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Q: Find the absolute maximum and absolute minimum values of f(x) = 8+ 81x – 3x³ on the interval [0, 4].

A: Given function is  f(x) = 8 + 81x - 3x^3

Q: Find the relative extrema of f(x) = 9+30x – 3x? using both first and second derivative tests. f(x)…

A: A detailed solution is given below.

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: The function f (x) 2x3 – 39x + 216x + 2 has derivative f'(x) = 6x? 78x + 216. f(x) has one local…

A: Function will have a local minimum at a point where the value of the derivative of the function will…

Q: ve maximum or

A: Maxima and minima: Let f(x)=e3x2+4 For maxima or minima we need to find those values where f'(x)=0.…

Q: On the graph of f(x)=sinx and the interval [−2π,0), for what value of x does f(x) achieve a minimum?

A: The given function is fx=sinx Differentiating w.r.t. x to both sides- f'x=cosx To find the critical…

Q: b- find any locl maximum and locl minimum values by using first derivative: I(x)=x-2x

A: Given, f(x)=x4-2x2

Q: Find the minimum and maximum values of the function y = 8Vx² + 1 – 7x on the interval [0, 8] by…

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Q: The function f(x) = 2x³ − 33x² + 60x + 8 has derivative f'(x) = 6x² f(x) has one local minimum and…

A: Explanation of the answer is as follows

Q: Use algebraic methods to determine the critical value(s) of f(x) = x √4−x.  Give your answers in…

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Q: Let f(x)=kx^-1+x^2 For what values of k, function f(x) has a relative minimum but not a relative…

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Q: The function f() = 2x - 33x2 + 168x +11 has derivative f'(x) = 6x – 66x + 168. f(x) has one local…

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Q: What values of a and b make ƒ(x) = x3 + ax2 + bx have a local maximum at x = -1 and a local minimum…

A: Given: fx=x3+ax2+bx To find a, b such that function has local maxima at x = -1 and local minima x =…

Q: The function h(x) = x³ + 28x4 – 1311x³ has a critical point at x = 19. Use the second derivative…

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Q: or equal to 0). Find the minimum possible value of X346.

A: here given mean of 345 quantities is 5.9

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: y = x* – 4x +1

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Q: Find the absolute maximum and absolute minimum of f(x) =2x – 3x² – 36x + 2 on the interval [0,5]

A: Before finding absolute maximum and absolute minimum of any function over the given interval we need…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.