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3 years ago

Lim x➡2 (x^3-8)/(x-2)

Mathematics

1 answer:

lara31 [8.8K]3 years ago

4 0

You have to use the difference of 2 cubes pattern for this to cancel out the x-2. Hope this helps!!!

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3 years ago

The diagram shows the curve with equation y = ( 1 + x ) cosx.

r-ruslan [8.4K]

Answer:

y = 1, 1.319, 1.024, 0

Step-by-step explanation:

Given equation:

$y=(1+x)\cos x$

$\textsf{when}\:x=0:$

$\begin{aligned} \implies y & =(1+0)\cos 0\\\implies y & = 1\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{6}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{6}\right)\cos \left(\frac{\pi}{6}\right)\\\implies y & = 1.319\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{3}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{3}\right)\cos \left(\frac{\pi}{3}\right)\\\implies y & = 1.024\: \sf (3\:dp)\end{aligned}$

$\textsf{when}\:x=\dfrac{\pi}{2}:$

$\begin{aligned} \implies y & =\left(1+\frac{\pi}{2}\right)\cos \left(\frac{\pi}{2}\right)\\\implies y & = 0\end{aligned}$

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2 years ago

(2 5/6)(6)+(-1 1/2)(1.5)-(1/16)

Jet001 [13]

Now I’m ngl my math might be wrong but I ended up with 1131/48
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3 years ago

Point d is on line segment ce. Given ce = 18 and cd=12,determine the length de

Ostrovityanka [42]

Answer:

Step-by-step explanation:

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3 years ago

Solve and check 8-(6-8x) =4x+4

navik [9.2K]

Greetings!

"Solve and check $8-(6-8x)=4x+4$ "...

Solve for x:
 $8-(6-8x)=4x+4$
Remove the Parenthesis.
$8-6-8x=4x+4$
Simplify.
$2-8x=4x+4$
Add -4 to both sides.
$(2-8x)+(-4)=(4x+4)+(-4)$
Simplify.
$-2-8x=4x$
Add 8x to both sides.
$(-2-8x)+8x=(4x)+8x$
Simplify.
$-2=12x$
Divide both sides by 12.
$(-2)/12=(12x)/12$
Simplify.
$-0.166666667=x$

The answer is: x=-0.166666667

Hope this helps.
-Benjamin

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3 years ago

Lim x➡2 (x^3-8)/(x-2)​

Lim x➡2 (x^3-8)/(x-2)