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GuDViN [60]
3 years ago
10

Please help meeeeeee.

Mathematics
1 answer:
ruslelena [56]3 years ago
6 0
The perimeter represents the amount of wood needed and the area represents the amount of class needed.  

so 2*(2/3) +  2(2) = 4/3 + 4= 4 4/3 or 5 1/3 wood is needed for the border.

for the mirror, you will need the area= 4/3 * 2 = 8/3 sq yds or 2 2/3 sq yards is needed.

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Determine whether each integral is convergent or divergent. If it is convergent evaluate it. (a) integral from 1^(infinity) e^(-
AVprozaik [17]

Answer:

a) So, this integral is convergent.

b) So, this integral is divergent.

c) So, this integral is divergent.

Step-by-step explanation:

We calculate the next integrals:

a)

\int_1^{\infty} e^{-2x} dx=\left[-\frac{e^{-2x}}{2}\right]_1^{\infty}\\\\\int_1^{\infty} e^{-2x} dx=-\frac{e^{-\infty}}{2}+\frac{e^{-2}}{2}\\\\\int_1^{\infty} e^{-2x} dx=\frac{e^{-2}}{2}\\

So, this integral is convergent.

b)

\int_1^{2}\frac{dz}{(z-1)^2}=\left[-\frac{1}{z-1}\right]_1^2\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\frac{1}{1-1}+\frac{1}{2-1}\\\\\int_1^{2}\frac{dz}{(z-1)^2}=-\infty\\

So, this integral is divergent.

c)

\int_1^{\infty} \frac{dx}{\sqrt{x}}=\left[2\sqrt{x}\right]_1^{\infty}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=2\sqrt{\infty}-2\sqrt{1}\\\\\int_1^{\infty} \frac{dx}{\sqrt{x}}=\infty\\

So, this integral is divergent.

4 0
3 years ago
If f(x)=x^2-11, for what values of z is f(x) < 25?
GuDViN [60]

Answer:

D

Step-by-step explanation:

f(x) < 25

x² - 11 < 25

x² < 36

-6 < x < 6

5 0
3 years ago
Use the formula you found in the previous question to find the degree of angle B if angle A = 35 and angle C = 90.
jok3333 [9.3K]

Answer: 55

Step-by-step explanation:

90+35=125

180 is the total degrees of an angle so 180-125= 55

6 0
3 years ago
Read 2 more answers
Answer 1,2 and 3 and challenge thank you
Nadusha1986 [10]
NUMBER 2 is 240 because 6 times 4 times 10 is equal to 240. I am still working on the others
7 0
3 years ago
A metal can is a cylinder with a radius of 3 in. and a height of 6 in.
iVinArrow [24]

Answer:

169.56

Step-by-step explanation:

54*3.14 = 169.56

this is the answer on the test

5 0
3 years ago
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