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Kisachek [45]
2 years ago
9

Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving

the plane region about the y-axis. y=x^{3 / 2}, \ y=8, \ x=0y=x 3/2, y=8, x=0

Mathematics
1 answer:
ladessa [460]2 years ago
6 0

Answer:

The volume of the solid using shell method is V= π(284/7)

Step by step Explanation:

Shell method is a method device to calculate the volume of a solid of revolution.

From the question, we were given

y=x³/₂

y=8,

x=0

then f(x)=8-x³/₂

The volume we were told to find , using the shell formula can be calculated using below formula

V=2π∫xf(x)dx

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

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12. In ∆PQR, if m∠P is 14 less than five times x, m∠Q is five less than x, and m∠R is nine less than twice x, find x and the mea
pychu [463]

Answer:

12)x=26.125°

∠P  = 115.625°

∠Q =21.125°

∠R=43.25°

13)x=52°

∠L=52°

∠J =45°

∠K =69°

14)x=11°

∠C = 36°

∠D =36°

∠B = 108°

15)x=7

WX = 52

WY=52

XY =29

Step-by-step explanation:

12)In ∆PQR

∠P is 14 less than five times x = 5x-15

∠Q is five less than x=x-5

∠R is nine less than twice x=2x-9

Angle sum property of triangle : The sum of all angles of triangle is 180°

So,5x-15+x-5+2x-9=180

8x-29=180

8x=180+29

x=\frac{180+29}{8}

x=26.125

So,∠P  = 5x-15 =5(26.125)-15=115.625°

∠Q =x-5=26.125-5=21.125°

∠R=2x-9=2(26.125)-9=43.25°

13)  In ∆JKL

Let the angle L be x

∠L=x

∠J is seven less than ∠L=x-7

∠K is 21 less than twice ∠L=2x-21

Angle sum property of triangle : The sum of all angles of triangle is 180°

So, x+x-7+2x-21=180°

4x-28=180°

4x=180+28

x=\frac{180+28}{4}

x=52

∠L=x=52°

∠J =x-7=52-7=45°

∠K =2x-21=2(45)-21=69°

14)In ∆BCD

BC ≅ BD(Given)

Opposite angles of equal sides are equal

So, ∠C =∠D

∠C = 5x – 19

∠D = 2x + 14

So, 5x-19=2x+14

3x=33

x=11

∠C = 5x – 19=5(11)-19=36°

∠D = 2x + 14=2(11)+14=36°

∠B = 13x – 35=13(11)-35=108°

15) In ∆WXY

∠X ≅ ∠Y(Given)

Opposite sides of equal angles are equal

WY=WX

WX = 9x – 11

WY = 7x – 3

So, 9x-11=7x-3

2x=14

x=7

So, WX = 9x – 11=9(7)-11=52

WY=52

XY = 4x + 1=4(7)+1=29

3 0
3 years ago
What is 685 x 32?? im confused
MatroZZZ [7]

Answer:

21920

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
So ummm anyone down to please help me I need to turn in the assignment tomorrow
Elodia [21]

1.-7

3.-2

5.9

7.11

9.0

15. $10/-$10?? idk

17.5


4 0
3 years ago
Write an equation in slope for a line that passes through (3,4) (and has a y intercept of -8)
Vlad [161]

Answer:

Part 1) The equation in slope intercept form is y=4x-8

Step-by-step explanation:

Part 1) Write an equation in slope-intercept form for a line that passes through (3,4) (and has a y intercept of -8)

we know that

The equation of a line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

b=-8

point\ (3,4)

substitute

4=m(3)-8

solve for m

4+8=3m

3m=12

m=4

therefore

y=4x-8

5 0
2 years ago
You are considering leasing a store site that has 1,500 square feet. The landlord is asking for a rent of $50 per square foot, p
tigry1 [53]

Answer:

$75000/year

$6250/month

Step-by-step explanation:

1500 ft²*$50/(ft²*year) = $75000/year

1 year = 12 month

$75000/12 month= $6250/month

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2 years ago
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