Find a vector function that represents the curve of intersection ofthe two surfaces. The cylinder

2 answers:

4 0

You're already given $x(t)=6\cos t$ and $y(t)=6\sin t$ . To find the $z$ component, plug these into the second equation:

$z=xy=36\sin t\cos t=18\sin(2t)$

so we have

$\vec r(t)=6\cos t\,\vec\imath+6\sin t\,\vec\jmath+18\sin(2t)\,\vec k$

Readme [11.4K]3 years ago

3 0

Answer:

here'

Step-by-step explanation:

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A circle's area is directly proportional to its radius squared.

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Answer:

3.14

Step-by-step explanation:

The formula for the area of a circle is ...

A = πr²

The constant of proportionality is the constant in this equation: π. To two decimal places, the value of π is 3.14.

The constant of proportionality is about 3.14.

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3 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviat

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Answer:

The diameter that separates the bottom 9% is 5.02 millimeters.

The diameter that separates the top 9% is 5.2 millimeters.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 5.11 millimeters and a standard deviation of 0.07 millimeters.

This means that $\mu = 5.11, \sigma = 0.07$