At what interval is y= 2x3-3x2- 36x + 14 increasing? Decreasing?

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

A: Given: Rx = 46x- 0.04x2 , 0≤x≤900 To find the interval of increasing and decreasing, we have to find…

Q: The function f(x) = x* - 18z is increasing on the intervals

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Q: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

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Q: Find the intervals on which the function y=xx(x>0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: Find the intervals where f(x) = x2e−x is increasing and where it is decreasing.

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Q: Find the average rate of change of f(x) = 3x² – 9 on the interval [3, a]. Your answer will be an…

A: The average rate of change of function over an interval [a,b] is given by  f(b)-f(a)b-a

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

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Q: 1. f(x) = x² +x – 1 for all values of x -

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Q: A producer of door frame chin-up bars has determined that the revenue from the production and sale…

A: A function is said to be increasing if f'x>0. A function is said to be decreasing if f'x<0.…

Q: Find the absolute extrema of f(x) = x³ - 6x - 1 on the interval [-2,3].

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Q: find the extrema of f(x) =2x3-6x on [0,3]

A: Given:

Q: Find the average rate of change of f(x)=4x3-5 over the interval [-1,2]

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Q: + iv is analyt: and satisfies the a real constant

A: Since f is analytic in S, it satisfies Cauchy-Riemann equations. Thus,

Q: Find the area of a triangle bounded by the yy axis, the line f(x)=7−67xf(x)=7-67x, and the line…

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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: What points is the function y=|5x-1|+7sin(7x) continuous?

A: we have given function y=5x-1+7sin(7x) we know that  sin(ax) is continuous everywhere hence sin(7x)…

Q: Find the interval where the function, f(x) = 5 V3x – 2V3x + 57 is increasing?

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Q: What values of a and b maximize the value of ! (7x-x) dx? a

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Q: State why the function 2z2 - 3z + e-z is analytic everywhere.

A: See the answer below

Q: A producer of pedal-powered ice cream makers has determined that the revenue from the production and…

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Q: Find the absolute extreme of the function on the closed interval y = 3cosx ; [0,2π]

A: To find the absolute extreme of the given function.

Q: Consider the function f(x) = -3x²³ +3x²-3x -\ Find average rate of change on interval (-4,-1). Find…

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Q: Find the average rate of change of f(x) = 8x² − 4 on the interval [5, a]. Your answer will be an…

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Q: Find the extrema of f(x) = 3x4 − 4x3 on the interval [−1, 2].

A: The given function f(x) = 3x4 − 4x3 on the interval [−1, 2].

Q: The absolute max for the function f(x)=x² – 2x +1 on the interval [-2, 3] occurs at : Select one: а.…

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

A: y = 3x2/3 − 2x,                                   [−1, 1]   absolute extrema of the function = ?…

Q: (A) Find the absolute maxima and minima for y 4x +1 over 3 - [-V5, V5]. (B) Use the second…

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Q: are correct? The function is decreasing on the interval x > 4.

A: According to graph for x>2 slope = dydx increasesSo the function is increasing on the interval…

Q: Locate the critical points and determine whether maxima, minima or inflection point. b. у %3D (x —…

A: Here we will find critical points and determine maxima, minima or inflection point,

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval (3, b]. Your answer will be an…

A: Finding the average rate of a function in a given interval

Q: Find the areas below. a) Between the graph of f(x) = 50 + 3x² and x-axis over the interval [-2, 4].

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Q: True or False The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

A: The statement: The graph of the function f(x) = x2 is increasing on the interval [0, ∞ ].

Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

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Q: 5. How do the average rates of change for f(x) = – 0.5x and g(x) = - 1.5x² over the interval -5 < x…

A: Given functions are f(x)=-0.5x2 and g(x)=-1.5x2 over the interval [-5,-2] We know that average rate…

Q: Find the absolute extrema of the function ƒ(x) = 3x2/3 - 3x5/3 on the interval [0, 8].

A: Given ƒx = 3x2/3 − 3x5/3 on the interval 0, 8.

Q: Find the interval on which f(x) =x'e is increasing.

A: We find f'(x) using the product rule

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

A: Given, fx=∫0xt2-491+cos2tdt

Q: 4. Find the point on the graph of f(x) 5x + 20x – 3 where the tan gent line is horizontal. 5

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Q: Find the 2 points where the absolute maximum and absolute minimum of the function occur: m(x) = 2x²…

A: Given equation is   m(x)=2x2-7x+9 We have to find the absolute maximum and minimum of the given…

Q: Find the absolute extrema of f(x)=x^3-6x^2+5 on the interval [-3,5]

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Q: The interval in which the given function is decreasing is at 3 points y = x3 – x2 – 5x - 4 (-00, -1)…

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Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

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Q: Find the average rate of change of f(x)=9x2−8 on the interval [4,b]. Your answer will be an…

A: Given function , f(x)=9x2-8 on the interval 4,bThe average rate of change of fx=9x2-8 is in…

Q: All units in a 100-unit apartment building are rented out when the monthly rent is set at r =…

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Q: point =)=at x = 2 -5 at x = -2 x² +1

A: Solving

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: interval

A: We have to find the increasing interval according to the given function

Q: 6. What is a point of inflexion ? Does f(x) = x' have a point of inflexion at x = 0?

A: Given that,

Q: y fx) 4 3 21 -5-4-3-2-1 x- 1 2 3 4 5 -2 On what interval(s) is fincreasing? How about decreasing? 1.

A: Let's find.