2 years ago

Suppose lim f(x)=-1, lim f(x)=-1, and f (-3) is not defined.

Mathematics

1 answer:

cupoosta [38]2 years ago

4 0

Its e all of them hope it helped

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a. Find symmetric equations for the line that passes through the point (4, −4, 8) and is parallel to the vector −1, 4, −3b. Find

daser333 [38]

The line has equation

$\vec r(t)=(4,-4,8)+(-1,4,-3)t$

where $t$ is any real number. $(-1,4,-3)t$ is the line containing all scalar multiples of the vector (-1, 4, -3); we add (4, -4, 8) to shift the line so that it passes through this point while remaining parallel to the the line.

To get the symmetric form, we have

$\begin{cases}x(t)=4-t\\y(t)=-4+4t\\z(t)=8-3t\end{cases}$

Solving for $t$ in each equation gives the symmetric form,

$t=\boxed{4-x=\dfrac{y+4}4=\dfrac{8-z}3}$

The line has intercepts in the coordinate planes wherever either the $x$ , $y$ , or $z$ coordinate is 0.

$xy$ -plane:

$z=0\implies\begin{cases}4-x=\frac83\\\frac{y+4}4=\frac83\end{cases}\implies\left(\dfrac43,\dfrac{20}3,0\right)$

$yz$ -plane:

$x=0\implies\begin{cases}\frac{y+4}4=4\\\frac{8-z}3=4\end{cases}\implies\left(0,12,-4\right)$

$xz$ -plane:

$y=0\implies\begin{cases}4-x=1\\\frac{8-z}3=1\end{cases}\implies\left(3,0,5\right)$

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Ginger's cat gave birth to a kitten that weighed 3 3/8 ounces when it was born. On the day Ginger sold the kitten to its new own

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The kitten grew 2.12 lbs

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Step-by-step explanation:

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