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lisabon 2012 [21]
3 years ago
15

SOLVE. integration of (1-v) /(1+v^2)

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0
I think you have to first separate the integral:1/(1+v^2) + v/(1+v^2),
so the integral of the first term is ArcTan (v) and for the integral of the second term i recommend you to do a change of variable:

y= 1+v^2
 so
 dy= 2v
 and
v= dy/2and then you substitute:v/(1+v^2) = (1/2)(dy/y)
and the integral is
 (1/2) (In y)finally you plug in the initial variables:

(1/2)(In [1+v^2])

so the total integral is:

ArcTan (y) + (1/2)(In [1+v^2])
Ganezh [65]3 years ago
6 0

Answer:

tan^-1( v)  - \frac{1}{2} ln(1+{v}^2) +c is the answer.

Step-by-step explanation:

∫\frac{1-v}{1+{v}^2} \\\frac{1}{1+{v}^2}- \frac{v}{1+{v}^2}}

∫\frac{dv}{1+{v}^2}-∫\frac{2v}{1+{v}^2}dv

{tan}^{-1} (v)-\frac{1}{2} ln(1+{v}^2) +c

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In a study of the effect of handedness on athletic ability, participants were divided into three groups: right-handed, left-hand
inessss [21]

Answer:

Option A) Discrete and quantitative                                                          

Step-by-step explanation:

We are given the following situation in the question:

In a study of the effect of handedness on athletic ability.

Variable 1: Handedness - right-handed, left-handed, and ambidextrous

Variable 2:  Athletic ability measured on a 12-point scale.

Dependent Variable:

  • The dependent variable is the response variable and its value depends on the independent variable.
  • A change in independent variable leads to a change in the dependent variable.

For the given case the athlete ability is the dependent variable that depends on the independent variable of handedness.

Athletic ability is measured on a 12 point scale. thus, it can take numerical values from 0 to 12.

Thus, it is a quantitative variable.

Since theses values are always expressed in whole numbers and not in decimals so they cannot take all the values within an interval.

Thus, it is a discrete variable.

Option A) Discrete and quantitative

8 0
3 years ago
W(x) = 3x; find (-3x)
Mashutka [201]
So this means W(-3x) = 3x. So it's equal to 3(-3x), which simplifies to be -9x. Whenever you have a function, it looks like f(x). f doesn't have to be the letter, it can be a, b, c, or like in this case, W. It just means the output of what W(x) is if x equals the number in the parentheses, which is -3x in this case.
7 0
3 years ago
How can you write the outer dimension of the walkway?
UNO [17]
4/5/8/87/7/9 is the answer
7 0
3 years ago
There are 12 students who wish to enroll in a particular course. there are only five seats left in the classroom. how many diffe
siniylev [52]
792 is the answer

(12*11*10*9*8)/5!=792
5 0
3 years ago
You want to purchase a new car in 55
Tanzania [10]

Answer:

Ans. you should deposit each month to end up with $38,000 the amount of $533.33 every month for 5 years at a APR of 6.5%

Step-by-step explanation:

Hi, first we have to convert all the data to monthly basis, that is, 5 years (5*12=60 months) and the rate of 6.5% APR offered by the bank (Monthly rate = 0.065/12=0,005666667  or 0.5667% monthly)

With that in mind, we need to solve for "A" the following equation.

FV=\frac{A((1+r)^{n}-1) }{r}

Where:

FV = Future value of the car

r = rate of return offered by the bank

n = number of periods that you are going to make the monthly deposit

That is:

38,000=\frac{A((1+0,005667)^{60}-1) }{0,005667}

38,000=\frac{A(0,403599896)}{0,005667}

38,000=A(71,22351103)

A= 533,53

Best of luck.

5 0
3 years ago
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