Show how to use the Calculus method from class to find the absolute maximum and minimum y-values for y= 3x"- 4x +5 over interval -1sxs2.

Q: Find the absolute extrema of the function on the closed interval. g(x) = 5x2 - 20x, [0, 5] minimum…

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Q: What is the absolute minimum on the interval [-2,1] for f(x) = 6x³ + 6x² – 6x + 14? A 1/3 B) 2 -6 -1

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Q: 6. Determine, with reasons, the absolute maximum and absolute minimum of f(x) = x/2 – x on the…

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Q: Find the absolute extrema of the function on the closed interval. 4x Rx) =2+25 [-6, 6] %3D minimum…

A: f(x)=4xx2+25

Q: Two nonnegative numbers whose product is 25a² (where a 0) and whose sum is a minimum, are

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Q: -x²+5 < f (x) < x+1 2

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Q: Find the absolute extrema of the function on the closed interval. g(x) = 4x2 − 16x,    [0, 5]…

A: Let the function be g(x)=4x2-16x. Differentiate the function with respect to x. g'(x)=8x-16 Put…

Q: 14 Find the absolute maximum and absolute Minimum value of each function: eCx)= 3x"+4x3 interval…

A: Consider the handwritten solution.

Q: Find the positive number x such that the sum of x and its reciprocal is as small as possible. Does…

A: Given the positive number is x

Q: Find the largest open intervals where the function is concave upward. 16) f(x) = x3 - 3x2 – 4x + 5…

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

A: Given Data The function is y=1-eˣ/ eˣ+1.   Differentiate the function y=1-eˣ/ eˣ+1 with respect to x…

Q: Lat f be a continous and differentiable function. If f'(c) = 0 then c is a local maximum or local…

A: Answer

Q: Find the absolute extrema of the function on the closed interval. (x) = 7x2 + 1, (-1, 2] minimum (х,…

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Q: Find the absolute extrema of the function on the closed interval. y = x2 - 8 In x, [1, 4] minimum…

A: given y=x2-8ln x y'=2x-8x=0x2-4=0x=2 x can not be negative

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 absolute minimum value for on the interval [-1,1]

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

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 extrema of the function on the closed interval. y = 3x2/3 – 2x, (-1, 1] minimum…

A: Given  y=3x23-2x and the interval [-1,1]

Q: Two nonnegative numbers whose product is 36a? (where a > 0) and whose sum is a minimum, are

A: Now we will solve the problem.

Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

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Q: Determine where the absolute extrema of f(x) =--5x + 14x on the interval 1, 3] occur. 1. The…

A: Given function is

Q: f (x) = e'/x²

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Q: Find the absolute extremd of the on the closed interval. 6x2 g(x) (-2, 1) X - 2 minimum (x, y)…

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Q: What is the absolute maximum on the curve x2 4х — 7 on the interval [-7, -3]?

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Q: Without the aid of a graph, find the absolute maximum and minimum values of the function f(x) = 36x°…

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Q: Determine the values of constants a, b, c, and d so that ƒ(x) = ax3 + bx2 + cx + d has a local…

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Q: Find the absolute minimum value of f(x) = + 2 In x + 5 for - < x < 5.

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Q: 2. Find the minimum value of f(x) = %3D

A: We expert are supposed to do first question . We have to find minimum value

Q: Find two positive numbers whose product is a such that their sum is minimum.

A: Let the two numbers are x and y So, xy=a y=a/x   Their sum= S= x+y We have to minimize S

Q: Find the absolute maximum/minimum of function f(x) = 4x3 - x2 - 2x %3D for interval of [0, 1]

A: The absolute maximum of a function in interval a,b is the maximum function value over this interval.…

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

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Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: f(x) = x2 + 4

A: Given: fx=xx2+4 To Find: a. Interval for which f(x) is increasing.b. Minimum Valuec. Point of…

Q: maximum of the quantity xy2 where x and y are

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Q: Find the absolute maximum and minimum assuming the function is f(x) = 2x^4 - 8x + 3 on interval…

A: f(x)=2x4-8x+3

Q: Find the absolute extrema of the function on the closed interval. f(x)= 3x²+2, [1, 2] 0,2 minimum…

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

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Q: Locate and classify all the critical points of the function.(If an answer does not ex g(x, y) = 4x2…

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Q: Find the absolute maximum and absolute minimum values for the function f(x) = x lnx on the interval…

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Q: Find the absolute maxiom and minimum. for F f(x) = Xe 10the interual

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Q: x and y are both positive numbers such that P=xy3. If the sum of both numbers is 24, determine x and…

A: given data p = xy3x+y =24

Q: Find the absolute minimum and maximum value for the function on the given interval f (x) = x – 3x2 +…

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Q: What is the absolute maximum and absolute minimum of the function f(x) = x3 – 3x2 – 9x – 6 in [0,5]?

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Q: Find the point on the line y = x that is closest to the point  (3, 1).[Hint: Express the distance d…

A: Assume d be the distance from point y=x to the line y=x Assume (x,y) be a point on a line ⇒(x,y)…

Q: For what value of x does the function f(x) = x³- -4x attain the absolute maximum %3D in the interval…

A: Given that : The function f is  fx=13x3-4x   ,..........(1) To find: The value of x∈-5, 5 for which…

Q: What are the absolute maximums and minimums of z(x) over its domain?

A: Given To find what are the absolute maximums and minimums of z(x) over its domain.

Q: Determine where the absolute extrema of f(x) = 3x²/3 2x on the interval |–1,1| occur. 1. The…

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Q: 3 The absolute minimum value of f(x)=x³ on the closed interval [-1,8] is a) 0 b) -1 c) 1 2 d) -…

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