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cluponka [151]
3 years ago
15

10 POINTS!!! FULL ANSWER WITH FULL STEP BY STEP SOLUTION PLEASE

Mathematics
1 answer:
lora16 [44]3 years ago
5 0
Define z = ln(x). Then
  y = z^z
  y' = z^z * (z')*(1 +ln(z))
Since
  z' = 1/x
You have
  y' = ln(x)^ln(x) * (1/x) * (1 +ln(ln(x))

Evaluated at x=e, this becomes
  y'(e) = 1^1 * (1/e) * (1 +ln(1))
  y'(e) = 1/e
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Find the volume of the solid of revolution formed by rotating about the x--axis the region bounded by the given curves.
Maslowich

Answer:

16 pi cubic units

Step-by-step explanation:

Given that a region is bounded by

f(x)=√x, y=0, x=1, x=4

And the region is rotated about x axis.

We can find that here radius would be y value and height would be dx

So volume would be as follows:

If f(x) is rotated about x axis volume

= \pi \int\limits^b_a {y^2} \, dx \\=\pi \int\limits^4_1 {x} \, dx\\=\pi *x^2  ^4_1\\= \pi*16-1\\=15\pi

cubic units.

4 0
3 years ago
How many lines of symmetry does the letter z have ?
JulijaS [17]

Answer:

The Z is has no lines of symmetry. The W and Y have one line of symmetry. The X has two lines of symmetry.

6 0
3 years ago
Allison is running a race that is m miles long. She has already run 6 miles. Which expression shows how many miles Allison has l
Marysya12 [62]
M-6 is the expression that shows how far Allison has to run
8 0
3 years ago
Read 2 more answers
A restaurant has 9 3/5 pounds of onions. The restaurant's manager ordered 4 4/5 more pounds of onions. The onions then were mixe
Alina [70]

Answer:

7 1/5 pounds in each basket

Step-by-step explanation:

Original pounds of onion = 9 3/5

New pounds of onion = 4 4/5

The onions then were mixed and kept in 2 baskets with each basket having equal pounds on onions

Total onions = Original pounds of onion + New pounds of onion

= 9 3/5 + 4 4/5

= 48/5 + 24/5

= 48+24/5

= 72 / 5 pounds

How many pounds of onions does each basket contain?

Pounds in each basket = Total pounds /2 basket

= 72/5 ÷ 2

= 72/5 × 1/2

= 72 / 10

= 7 2/10

= 7 1/5 pounds in each basket

7 0
3 years ago
Calculate the volume.<br> 300 km^3 <br> 330km^3 <br> 270km^3 <br> 540km^3
NISA [10]

Answer:300km^3=27000000cubickilometers

330km^3=35937000cubickilometers

220km^3=19683000cubickilometers

540km^3=157464000cubickilometers

Step-by-step explanation:

5 0
3 years ago
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