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netineya [11]
3 years ago
9

The number is greater than 0 and less than 0.75

Mathematics
2 answers:
zepelin [54]3 years ago
8 0
The number can be 0.34 0.40 0.57 0.74 or any numbers in between those
Andreas93 [3]3 years ago
4 0
0.25, 0.50, 0.74. It could be any of these numbers or any number between these numbers.
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What is the coordinate of the midpoint of segment AC
Aloiza [94]

Answer:

-5.5

Step-by-step explanation:

\frac{-7+-4}{2}\\\\\frac{-11}{2}\\\\-5.5

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Samuel surveys 15 students at his school and asks them: "How many candies per day do you usually eat?"
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Minimum number of candies:

0

Maximum number of candies:

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Two different box-filling machines are used to fill cereal boxes on an assembly line. The critical measurement influenced by the
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See attachment for calculation

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3 years ago
Calculus 3 chapter 16​
o-na [289]

Evaluate \vec F at \vec r :

\vec F(x,y,z) = x\,\vec\imath + y\,\vec\jmath + xy\,\vec k \\\\ \implies \vec F(\vec r(t)) = \vec F(\cos(t), \sin(t), t) = \cos(t)\,\vec\imath + \sin(t)\,\vec\jmath + \sin(t)\cos(t)\,\vec k

Compute the line element d\vec r :

d\vec r = \dfrac{d\vec r}{dt} dt = \left(-\sin(t)\,\vec\imath+\cos(t)\,\vec\jmath+\vec k\bigg) \, dt

Simplifying the integrand, we have

\vec F\cdot d\vec r = \bigg(-\cos(t)\sin(t) + \sin(t)\cos(t) + \sin(t)\cos(t)\bigg) \, dt \\ ~~~~~~~~= \sin(t)\cos(t) \, dt \\\\ ~~~~~~~~= \dfrac12 \sin(2t) \, dt

Then the line integral evaluates to

\displaystyle \int_C \vec F\cdot d\vec r = \int_0^\pi \frac12\sin(2t)\,dt \\\\ ~~~~~~~~ = -\frac14\cos(2t) \bigg|_{t=0}^{t=\pi} \\\\ ~~~~~~~~ = -\frac14(\cos(2\pi)-\cos(0)) = \boxed{0}

3 0
1 year ago
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