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Bogdan [553]
3 years ago
6

Find the circulation of Bold Upper F equals 5 x Bold i plus 7 z Bold j plus 6 y Bold k around the closed path consisting of the

following three curves traversed in the direction of increasing t.
Mathematics
1 answer:
ch4aika [34]3 years ago
4 0

Answer:

The circulation of the given vector is (5/2)x² + 7yz + 6yz + C

Step-by-step explanation:

Given that F = 5xi + 7zj + 6yk

The circulation of F is given as

Integral of F.dr

dr = idx + jdy + kdz

F.dr = (5xi + 7zj + 6yk).(idx + jdy + kdz)

= 5xdx + 7zdy + 6ydz

Integral of F.dr = Integral of (5xdx + 7zdy + 6ydz)

= (5/2)x² + 7yz + 6yz + C

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What is the solution to this equation?
labwork [276]
The solution to this equation is C (6)

3x - 3 = 15

3x = 15 + 3
3x = 18
3/3 x = 18/3

x = 6
6 0
2 years ago
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Find the value of x.<br> (3x+20) º<br> 12°
PolarNik [594]

Answer:

x=32°

Step-by-step explanation:

2x+3x+20=180 co interior angle

5x=180-20

x=160/5=32°

7 0
2 years ago
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A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of funds' returns shows an averag
Feliz [49]

A financial analyst wanted to estimate the mean annual return on mutual funds. A random sample of 60 funds' returns shows an average rate of 12%. If the population standard deviation is assumed to be 4%, the 95% confidence interval estimate for the annual return on all mutual funds is

A. 0.037773 to 0.202227

B. 3.7773% to 20.2227%

C. 59.98786% to 61.01214%

D. 51.7773% to 68.2227%

E. 10.988% to 13.012%

Answer: E. 10.988% to 13.012%

Step-by-step explanation:

Given;

Mean x= 12%

Standard deviation r = 4%

Number of samples tested n = 60

Confidence interval is 95%

Z' = t(0.025)= 1.96

Confidence interval = x +/- Z'(r/√n)

= 12% +/- 1.96(4%/√60)

= 12% +/- 0.01214%

Confidence interval= (10.988% to 13.012%)

3 0
3 years ago
Pls help me not fail
nignag [31]

Answer:

D

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

      = 18² + 12² - ( 2 × 18 × 12 × cos75° )

      = 324 + 144 - 432cos75°

      = 468 - 111.8

      = 356.2 ( take the square root of both sides )

AC = \sqrt{356.2} ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

\frac{18}{sinA} = \frac{18.9}{sin75} ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = \frac{18sin75}{18.9} , then

∠ A = sin^{-1} ( \frac{18sin75}{18.9} ) ≈ 66.9°

4 0
3 years ago
What is the solution to this systems of equation? 2x-3y=9 and 5x+3y=10​
mamaluj [8]

y = -5x/3 + 10/3

y = 2x/3 - 3

8 0
3 years ago
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