Which would give the most accurate estimate of the area under a curve?

Mathematics

2 answers:

mixas84 [53]2 years ago

8 0

It’s A the region one

Nataly_w [17]2 years ago

8 0

Answer:

A). when the region is divided into a greater number of rectangles.

Step-by-step explanation:

This forms the basics of integration.

Integration can be use to calculate areas under the curve. To find the area under the curve we try to approximate the area under the curve by using rectangles. When we increased the number of rectangles of equal width of the rectangles, a better approximation of the area is obtained. We then find the area of each infinitesimally small rectangle and then integrate by taking two limits, the upper limit and the lower limit.

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2. Find the volume of the cylinder pictured below. Use 3.14 for pi. Give your answer to the nearest tenth. Show your work to rec

Blababa [14]

Question 2

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Formula
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Volume of the cylinder = πr²h

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Find Radius
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Radius = Diameter ÷ 2
Radius = 10 ÷ 2
Radius = 5 ft

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Find Volume
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Volume = πr²h
Volume = 3.14 x 5² x 21
Volume = 1648.5 ft³

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Answer: Volume = 1648.5 ft³
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Question 3

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Formula
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Volume of a sphere = 4/3πr³

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Find Volume
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Volume = 4/3 x 3.14 x 20³
Volume = 33493.3 ft³ (nearest tenth)

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Answer: Volume = 33493.3 ft³
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2 years ago

Which is the correct algebraic representation for the area of a circle?

fiasKO [112]

B because pie radius square = area of a circle

4 0

3 years ago

Henry is up for retirement after 35 long years at his pharmacy. Before retiring, he would like to know how much he would receive

satela [25.4K]

To find how much Henry can expect to receive from Social Security on a monthly basis, we first need to find how much he cant expect to receive from social security per year.

We know form our problem that Henry averaged an annual salary of $45,620, so to find how much can Henry expect to receive from Social Security per year, we just need to find the 42% of $45,620.

To find the 42% of $45,620, we are going to convert 42% to a decimal by dividing it by 100%, and then we are going to multiply the resulting decimal by $45,620:

$\frac{42}{100} =0.42$

Social security annual payment = (0.42)($45,620) = $19,160.40

Since there are 12 month in a year, we just need to divided the social security annual payment by 12 to find how much he can expect to receive each month.

Social security monthly payment = $\frac{19,160.40}{12}$ = $1.596.70