2.99 See Answer

Question: Sketch the graph of f by hand

Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Use the graphs and transformations of Sections 1.2 and 1.3.)
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Use the graphs and transformations of Sections 1.2 and 1.3.)





Transcribed Image Text:

_f(x) = In x, 0


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> Find the critical numbers of the function. s (t) = 3t4 + 4t3 - 6t2

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> Sketch the graph of a function f that is continuous on [1, 5] and has the given properties. f has no local maximum or minimum, but 2 and 4 are critical numbers

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> Sketch the graph of a function f that is continuous on [1, 5] and has the given properties. Absolute minimum at 1, absolute maximum at 5, local maximum at 2, local minimum at 4

> (a). Sketch the graph of a function on [-1, 2] that has an absolute maximum but no local maximum. (b). Sketch the graph of a function on [-1, 2] that has a local maximum but no absolute maximum.

> (a). Sketch the graph of a function that has a local maximum at 2 and is differentiable at 2. (b). Sketch the graph of a function that has a local maximum at 2 and is continuous but not differentiable at 2. (c). Sketch the graph of a function that has a

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> C (x) = x1/3 (x + 4) (a). Find the intervals of increase or decrease. (b). Find the local maximum and minimum values. (c). Find the intervals of concavity and the inflection points. (d). Use the information from parts (a)–(c) to sketch the graph. Check

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> Find the absolute maximum and absolute minimum values of f on the given interval. x? - 4 f(x) = [-4, 4] x² + 4'

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> The length of a rectangle is increasing at a rate of 8 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 20 cm and the width is 10 cm, how fast is the area of the rectangle increasing?

> A plane flies horizontally at an altitude of 5km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/3, this angle is decreasing at a rate of π/6 rad/min. How fast is the plane traveling at that time?

> A lighthouse is located on a small island 3 km away from the nearest point P on a straight shoreline and its light makes four revolutions per minute. How fast is the beam of light moving along the shoreline when it is 1 km from P?

> B (x) = 3x2/3 - x (a). Find the intervals of increase or decrease. (b). Find the local maximum and minimum values. (c). Find the intervals of concavity and the inflection points. (d). Use the information from parts (a)–(c) to sketch the graph. Check you

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> Find the critical numbers of the function. f (x) = x3 + x2 + x

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2.99

See Answer