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2 years ago

Integration of [(x+1)/(x-1)]dx

Mathematics

1 answer:

nordsb [41]2 years ago

6 0

Hello!

∫[(x+1)/(x-1)dx

∫t+2/t dt

∫t/t + 2/t dt

∫1 + 2/t dt

∫1dt + ∫2/t dt

∫t + 2In (|t|)

x - 1 + 2In (|x-1|)

x + 2In (|x-1|) + C, C ∈ R

Good luck! :)

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Write the equation of a circle whose center is at (3,-2) and has a radius of 11. Show your work!

Viefleur [7K]

Answer:

$(x - 3)^{2} + (y + 2)^{2} = 121$

Step-by-step explanation:

The equation of a circle has the following format:

$(x - x_{0})^{2} + (y - y_{0})^{2} = r^{2}$

In which r is the radius and the centre is the point $(x_{0}, y_{0})$

In this question:

Center at (3,-2), so $x_{0} = 3, y_{0} = -2$

Radius 11, so $r = 11$

Then

$(x - 3)^{2} + (y - (-2))^{2} = 11^{2}$

$(x - 3)^{2} + (y + 2)^{2} = 121$

3 0

2 years ago

81 is 45% of what number

andrew-mc [135]

81 is 45% of 180, all you do is divide 81 by .45 and boom there you go

8 0

3 years ago

The admission fee to an amusement park is $28. It costs an additional p dollars to rent a locker to hold your belongings. The to

mina [271]

The overall equation we can generate from the problem is:

C = (28 + p) * x

where C is the total cost, p is the payment for the locker, and x the number of people

We can calculate for p:

180 = (28 + p) * 5

28 + p = 36

p = 8

Therefore the cost of one person, x = 1:

C = (28 + 8) * 1

C = $36

Answer:

$36

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2 years ago

A rectangle has an area of 256 cm 2 . it has a width that is 48 cm shorter than 4 times its length. what is the rectangle's leng

AveGali [126]

Let
x--------> the rectangle's length
y-------> the rectangle's width

we now that
Area of rectangle=x*y
Area=256 cm²
256=x*y-------> equation 1

y=4x-48------> y=4x-48------> equation 2

substitute equation 2 in equation 1

256=x*[4x-48]-----> 256=4x²-48x
4x²-48x-256=0

using a graph tool----> to resolve the second order equation
see the attached figure
the solution is
x=16 cm
y=4x-48----> y=4*16-48-----> y=16 cm

is a square

the answer is
the rectangle's length is 16 cm