Need help finding the interval LOSXESMArove smx= cosX02 Determine the ntervals) an whieh theieden-Valved finetren Gud o aree425 contonorsotacrenP'LE)=C46-2,3t-lo, E-6.りこん?4 y2Sin;Los tan, bee

The vector -values function is given as r⇀t=4t-2 ,3t-10 ,1t-6. The general representation of the…

Answered: the interval

Math

Calculus

the interval

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter8: Areas Of Polygons And Circles

Section8.5: More Area Relationships In The Circle

Problem 9E

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Concept explainers

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!

Question

Need help finding the interval

LOSXESM
Arove smx= cosX
02 Determine the ntervals) an whieh theieden-Valved finetren Gud o aree
425 contonors
otacren
P'LE)=C
46-2,3t-lo, E-6.
りこん?4 y2
Sin;Los tan, bee

Expert Solution

Step 1

The vector -values function is given as $\overset{⇀}{r} (t) = (\sqrt{4 t - 2}, 3 t - 10, \frac{1}{t - 6}) .$

The general representation of the vector -valued function is ,

$\overset{⇀}{r} (t) = f (t) \hat{i} + g (t) \hat{j} + h (t) \hat{k .}$

Here ,

$f (t) = \sqrt{4 t - 2}$

$g (t) = 3 t - 10$

$h (t) = \frac{1}{t - 6}$

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