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marusya05 [52]
3 years ago
8

SCATTER PLOTS AND TREND LINES

Mathematics
2 answers:
Flura [38]3 years ago
8 0
C..........................
Fed [463]3 years ago
4 0
•cccccccccccccccccccccccccc
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...... 24 is the answer
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Find the work required to move an object in the force field F = e^x + y (1, 1, z) along the straight line from A(0, 0, 0) to B(-
DENIUS [597]

\vec F(x,y,z)=(e^x+y)(1,1,z)

is conservative if we can find a scalar function f such that \nabla f=\vec F. This would require

f_x=e^x+y

f_y=e^x+y

f_z=(e^x+y)z

Integrating both sides of the first equation wrt x gives

f(x,y,z)=e^x+xy+g(y,z)

Differentiating both sides of this wrt y gives

f_y=x+g_y=1\implies g_y=1-x\implies g(y,z)=y-xy+h(z)

but we assumed g was a function of y and z, independent of x. So there is no such f and \vec F is not conservative.

To find the work, first parameterize the path (call it C) by

\vec r(t)=(1-t)(0,0,0)+t(-4,5,-5)=(-4t,5t,-5t)

for 0\le t\le1. Then

\vec r'(t)=(-4,5,-5)

and the work is given by the line integral,

W=\displaystyle\int_C\vec F\cdot\mathrm d\vec r=\int_0^1(e^{-4t}+5t,e^{-4t}+5t,-(e^{-4t}+5t)5t)\cdot(-4,5,-5)\,\mathrm dt

W=\displaystyle\int_0^1(125t^2+5t+(25t+1)e^{-4t})\,\mathrm dt=\boxed{\frac{2207}{48}-\frac{129}{16e^4}}

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3 years ago
You can use the formula C=59(F−32), to convert temperature in degrees Fahrenheit, F, to temperature in degrees Celsius, C. What
iogann1982 [59]
C = 5/9(F - 32)
F = 62

C = 5/9(62 - 32)
C = 5/9(30)
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C = 16.7 <===
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3 years ago
A 16 ounce bottle of orange juice as it contains 200 mg of vitamin C which is the 250% of the daily recommended allowance of vit
egoroff_w [7]

Answer:

80

Step-by-step explanation

250% is 2.5 so 200 divided by 2.5 is 80

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