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elena55 [62]
1 year ago
5

the graph of a function f is given. use the graph to answer the questions.find the numbers, if any, at which f has a relative mi

nimum. what are the relative minima?

Mathematics
1 answer:
Fynjy0 [20]1 year ago
3 0

From the graph, the point at which the function of the graph have relative minimum is

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I am redesigning a rectangular prism in geometry where I have to minimize the surface area while maintaining the same volume. I
Romashka [77]

Strategy:

You will need to make use of the formulas for volume and area of the shapes you have chosen.

... volume of a sphere = (4/3)πr³

... area of a sphere = 4πr²

You will have to use the volume equation to find the radius of the sphere with the desired volume. Then use the area formula to verify the area is smaller than for your rectangular prism. (A sphere has the smallest surface area for a given volume of any figure.)

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For your pyramid, it's a bit more complicated. You can use the formula for volume to find a relationship between the side length and the height. Then you can solve for height and put that expression into the equation for surface area. Now, you have an equation for surface area as a function of side length, which you can use to choose side lengths that give surface area in the range you want. You may find a graphing utility to be helpful for this.

... volume of a pyramid = (1/3)b^2h . . . . . b is the edge length of the base; h is the verical height.

... area of a pyramid = b^2 + 2bs, where s is the slant height: s=√((b/2)^ +h^2)

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The cylinder is solved essentially the same way the pyramid is solved, except the formulas are slightly different.

... volume of a cylinder = πr²h

... area of a cylinder = 2πr² + 2πrh

Numbers:

If I did it right, a pyramid with a base edge length of 4 or 5 inches (or somewhere between) should give a smaller surface area for the volume you want.

For the cylinder, the radius may be around 2 or 2.1 inches.

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What’s the largest number ever ?
Aleks04 [339]

Answer:

(10)^(10^100)

Step-by-step explanation:

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How much is 142,560 inches in miles
BigorU [14]

Answer:

11880 ft

Step-by-step explanation:

12 in = 1 ft

142560/12 = 11880

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The quantity of something?
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3 years ago
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iren [92.7K]

How many magazines are there?

12 magazine.

Step by step explanation:

The ratio of stories to magazines is 4 to 3, if there are 28 stories, how many magazines are there?

Story: c

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R = 3k

4K + 3k = 28

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Substituting:

C = 4X4 = 16

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