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irina1246 [14]
1 year ago
5

Make a sketch of the region and its bounding curves. Find the area of the region. The region inside one leaf of r

Mathematics
1 answer:
Anastaziya [24]1 year ago
4 0

The region inside one leaf of r the area of the region is pi.20.

r =cos5θ

cos5θ =0

5θ=pi/2 ,5θ=3pi/2

θ=pi/10,θ=3pi/10

area of one leaf = ∫[pi/10 to 3pi/10](1/2)r2dθ

= ∫[pi/10 to 3pi/10](1/2)(cos5θ)2dθ

= ∫[pi/10 to 3pi/10](1/4)(1+cos10θ)dθ

=[pi/10 to 3pi/10](1/4)(θ+ (1/10)sin10θ)

=(1/4)((3pi/10)+ (1/10)sin3pi) -(1/4)((pi/10)+ (1/10)sinpi)

=(1/4)(3pi/10)  -(1/4)(pi/10)

=(1/4)(2pi/10)  

=pi/20

area of one leaf =pi.20.

Region area (calculus) Region area. The non-negative function given by y = f(x) represents a smooth curve on the closed interval [a, b].The area through the curve of f(x), the x-axis, and the perpendicular lines x = a and x = b The bounding region shown in Figure 1 is given by.

Learn more about the area of the region here: brainly.com/question/19053586

#SPJ4

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When Luis begins painting, he realizes it takes him 45 seconds to complete 1 square foot. The room he is painting has 272 square
zepelin [54]

It will take Luis 12240 seconds to complete the project.

12240 seconds are 204 minutes when converted.

Step-by-step explanation:

Given,

Time taken to paint 1 square foot = 45 seconds

Time taken for 272 square feet = 45*272

Time taken for 272 square feet = 12240 seconds

We know that;

60 seconds = 1 minute

Therefore;

We will divide the total seconds by 60 to convert them into minutes.

12240 seconds = \frac{12240}{60} = 204\ minutes

It will take Luis 12240 seconds to complete the project.

12240 seconds are 204 minutes when converted.

Keywords: conversion, multiplication

Learn more about multiplication at:

  • brainly.com/question/10546617
  • brainly.com/question/10552347

#LearnwithBrainly

6 0
3 years ago
Which is the best buy?
sesenic [268]
3 bottles of juice
6.72/3 = $2.24 < amount paid for each bottle

11 bottles of juice
24.86/11 = $2.26 <amount paid for each bottle

9 bottles of juice
20.25/9 = $2.25 < amount paid for each bottle

16 bottles of juice
35.68/16 = $2.23 < amount paid for each bottle

*the best buy would be to get 16 bottles for $35.68*




10 bars of soap
23.20/10 = $2.32 < amount for each bar of soap

16 bars of soap
36.48/16 = $2.28 < amount for each bar of soap

13 bars of soap
29.51/13 = $2.27 < amount paid for each bar of soap

12 bars of soap
27.60/12 = $2.30 < amount for each bar of soap

*the best buy would be to get 13 bars of soap for $29.51*

hope this helps :)



















8 0
3 years ago
Ill send a full screen shot of the question
sammy [17]

according to the graph

f(20) = 3

and

f(140) = 3.5

4 0
2 years ago
There were m visitors in an exhibition on the first day and 1,200 fewer vistors on the second day. On the third day, the number
STALIN [3.7K]

Answer:

Step-by-step explanation:

The average number is given by :

[m + (m - 1200) + (m - 1200)(1.30 ] / 3   =

[ 2m + 1.30m - 1200 - 1560] / 3   =

[3.3m - 2760] / 3  =

[1.1 m  - 920 ]

6 0
3 years ago
What is 18/48 simplify
Y_Kistochka [10]
Hmm they're both even numbers so maybe we can start by cutting each number in half.
\rm \dfrac{18}{48}=\dfrac{9\cdot2}{24\cdot2}=\dfrac{9}{24}
18 and 48 had 2 as a common factor.
So factoring a 2 out of each number was the same as cutting each number in half. Try to do something similar with the 9 and 24. They each have something in common.
4 0
3 years ago
Read 2 more answers
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