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MaRussiya [10]
3 years ago
11

Find the average rate of change for f(x) = x2 + 9x + 18 from x = -8 to x = -2.

Mathematics
1 answer:
aksik [14]3 years ago
5 0
Need more information!!!!
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Find the volume of the solid whose base is the region Ix I Iy I < 1 and whose vertical cross sections perpendicular to the y-
gavmur [86]

Answer:

volume of the solid = \frac{\pi }{3}

Step-by-step explanation:

As given , the region : |x| + |y| \leq 1

when y \geq 0 ,

|x| + y = 1

⇒|x| = 1 - y

when y ≤ 0 ,

|x| - y = 1

⇒|x| = 1 + y

The given region is the rectangle with sides (0, 5) , (0, -5), (5, 0), (-5, 0)

As given , the vertical cross section are semicircle

As we know that the area of semi circle  = \frac{1}{2}\pi  x^{2}

Now,

Volume = \int\limits^0_-1    {\frac{\pi }{2} (1+y)^{2}  } \, dy + \int\limits^1_0    {\frac{\pi }{2} (1-y)^{2}  } \, dy

            = \frac{\pi }{2} (\frac{(1+y)^{3} }{3} ) - \frac{\pi }{2} (\frac{(1-y)^{3} }{3} )

           = \frac{\pi }{6}[1-0] - \frac{\pi }{6}[0-1]

           = \frac{\pi }{6} + \frac{\pi }{6} = 2\frac{\pi }{6} = \frac{\pi }{3}

⇒volume of the solid = \frac{\pi }{3}

4 0
3 years ago
Investments are different from savings accounts in that they _____.
Natalija [7]
The answer is letter D.

Investments are different from savings accounts in that they offer high profit potential. However, investments also carry larger risks.

<span>Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.</span>

8 0
3 years ago
Read 2 more answers
Can someone help me please!?
oee [108]

Answer:

yes it is parallel

Step-by-step explanation:

because I think I know it

7 0
3 years ago
For the function f(x) = -2(x + 3)^2 -1, identify the vertex, domain, and range. A.) The vertex is (3, -1), the domain is all rea
Vlada [557]
Ok so domain is all allowed numbers look at deonomenator and don't allow any numbers that will make it zero none that means domain=all real numbers vertex in form y=a(x-h)^2+k (h,k)=vertex we have y=-2(x+3)^2-1 h=-3 k=-1 vertex=(-3,-1) range the vertex opens down so max is y=-1 y≤-1 domain is all real vertex is (-3,-1) y≤-1 C
8 0
4 years ago
Sheila purchased ski equipment for $513 using a six-month deferred payment plan. The interest rate after the introductory period
klemol [59]

$65 * 6 = $390 total monthly payments made

The downpayment made is $125, so the total balance at the end is:

balance = $513 – ($125 + $390)

balance = - $2

 

<span>There is an excess of 2 dollars at the end.</span>

4 0
3 years ago
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