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GREYUIT [131]
3 years ago
6

Five sandwich rings are each cut into four pieces you then cut each of the pieces into three servings how many servings do you h

ave
Mathematics
1 answer:
anastassius [24]3 years ago
8 0
You would have 48 servings
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Integrate cosx/sqrt(1+cosx)dx
Step2247 [10]
<span>Take the integral: integral (cos(x))/sqrt(cos(x)+1) dx
For the integrand (cos(x))/sqrt(1+cos(x)), substitute u = 1+cos(x) and du = -sin(x) dx: = integral (u-1)/(sqrt(2-u) u) du
For the integrand (-1+u)/(sqrt(2-u) u), substitute s = sqrt(2-u) and ds = -1/(2 sqrt(2-u)) du: = integral -(2 (1-s^2))/(2-s^2) ds
Factor out constants: = -2 integral (1-s^2)/(2-s^2) ds
For the integrand (1-s^2)/(2-s^2), cancel common terms in the numerator and denominator: = -2 integral (s^2-1)/(s^2-2) ds
For the integrand (-1+s^2)/(-2+s^2), do long division: = -2 integral (1/(s^2-2)+1) ds
Integrate the sum term by term: = -2 integral 1/(s^2-2) ds-2 integral 1 ds
Factor -2 from the denominator: = -2 integral -1/(2 (1-s^2/2)) ds-2 integral 1 ds
Factor out constants: = integral 1/(1-s^2/2) ds-2 integral 1 ds
For the integrand 1/(1-s^2/2), substitute p = s/sqrt(2) and dp = 1/sqrt(2) ds: = sqrt(2) integral 1/(1-p^2) dp-2 integral 1 ds
The integral of 1/(1-p^2) is tanh^(-1)(p): = sqrt(2) tanh^(-1)(p)-2 integral 1 ds
The integral of 1 is s: = sqrt(2) tanh^(-1)(p)-2 s+constant
Substitute back for p = s/sqrt(2): = sqrt(2) tanh^(-1)(s/sqrt(2))-2 s+constant
Substitute back for s = sqrt(2-u): = sqrt(2) tanh^(-1)(sqrt(1-u/2))-2 sqrt(2-u)+constant
Substitute back for u = 1+cos(x): = sqrt(2) tanh^(-1)(sqrt(sin^2(x/2)))-2 sqrt(1-cos(x))+constant
Factor the answer a different way: = sqrt(1-cos(x)) (csc(x/2) tanh^(-1)(sin(x/2))-2)+constant
Which is equivalent for restricted x values to:
Answer: | | = (2 cos(x/2) (2 sin(x/2)+log(cos(x/4)-sin(x/4))-log(sin(x/4)+cos(x/4))))/sqrt(cos(x)+1)+constant</span>
3 0
3 years ago
Please help me!! im so close to finshing
gtnhenbr [62]

Answer:

do you want me to answer this too

Step-by-step explanation:

???

8 0
2 years ago
The cost, C dollars, of hiring a taxi is given by the formula C=2.00+320n, where n is the number of tenths of a mile driven. Wha
Ainat [17]

Answer:

$14.80

Step-by-step explanation:

I'm assuming you meant to put 3.20 since $320 a mile would be ridiculous.

C(n)=2.00+3.20n

If n = 4 miles we have:

C(4)=2+3.20(4)

C(4)=2+12.80

C(4)=14.80

So the cost of the taxi is $14.80.

8 0
2 years ago
At the movie theatre, child admission is $5.20 and adult admission is $8.50. On Sunday, three times as many adult tickets as chi
Gemiola [76]

Answer:

sorry

Step-by-step explanation:

8 0
3 years ago
18+3x=-10+x what is x
son4ous [18]
18+3x=-10+x
3x-x=-10-18
2x=-28
x=-14
7 0
3 years ago
Read 2 more answers
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