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Nostrana [21]
3 years ago
11

The jar's inner dimensions of the jar are approximately a cylinder with a height of 18

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

v = \pi \times  {r}^{2}  \times h

v = \pi \times 49 \times 18

v = 2770.88

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Let C = C1 + C2 where C1 is the quarter circle x^2+y^2=4, z=0,from (0,2,0) to (2,0,0), and where C2 is the line segment from (2,
trapecia [35]
Not much can be done without knowing what \mathbf F(x,y,z) is, but at the least we can set up the integral.

First parameterize the pieces of the contour:

C_1:\mathbf r_1(t_1)=(2\sin t_1,2\cos t_1,0)
C_2:\mathbf r_2(t_2)=(1-t_2)(2,0,0)+t_2(3,3,3)=(2+t_2, 3t_2, 3t_2)

where 0\le t_1\le\dfrac\pi2 and 0\le t_2\le1. You have

\mathrm d\mathbf r_1=(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1
\mathrm d\mathbf r_2=(1,3,3)\,\mathrm dt_2

and so the work is given by the integral

\displaystyle\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r
=\displaystyle\int_0^{\pi/2}\mathbf F(2\sin t_1,2\cos t_1,0)\cdot(2\cos t_1,-2\sin t_1,0)\,\mathrm dt_1
{}\displaystyle\,\,\,\,\,\,\,\,+\int_0^1\mathbf F(2+t_2,3t_2,3t_2)\cdot(1,3,3)\,\mathrm dt_2
5 0
3 years ago
There are fifteen teams in a high school baseball league. How many different orders of finish are possible for the first four ​p
ankoles [38]
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This is a permutation where repetition is not allowed; the formula for that is:

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abruzzese [7]

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What is the next term of AP : √2, √8, √18, .......?
solmaris [256]

Answer:

\sqrt {32}

Step-by-step explanation:

Next term of the given AP can be obtained by adding common difference (d) in the last term \sqrt {18}

d =  \sqrt{18}  -  \sqrt{8}  = 3 \sqrt{2}  - 2 \sqrt{2}  =  \sqrt{2}  \\ next \: term =  \sqrt{18}  +  \sqrt{2}   \\  = 3 \sqrt{2}  +  \sqrt{2}  \\  = 4 \sqrt{2}  \\  =  \sqrt{ {4}^{2} \times 2 }  \\  =  \sqrt{16 \times 2}  \\  \huge \red{ \boxed{next \: term =  \sqrt{32} }}

8 0
2 years ago
The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this funct
Aleonysh [2.5K]
Hmm

2 times 4=8
3 times 8 is not 27



1 times 1=1
2 times 4=8
3 times 9=27

aka
1 times 1^2=1
2 times 2^2=8
3 times 3^2=27
x times x^2=x^3

the rule is y=x^3

3 0
2 years ago
Read 2 more answers
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