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3 years ago

Use integration by parts to evaluate the indefinite integral [ 2x sin(c) dx

Mathematics

1 answer:

valkas [14]3 years ago

6 0

Answer:

-2x cos x + 2 sin x + C

Step-by-step explanation:

∫ (2x sin x) dx

If u = 2x, then du = 2 dx.

If dv = sin dx, then v = -cos x.

∫ u dv = uv − ∫ v du

= 2x (-cos x) − ∫ (-cos x) (2 dx)

= -2x cos x + 2 ∫ cos x dx

= -2x cos x + 2 sin x + C

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Try Solve<br> 4/7 + -8/9 + -5/21 + 1/3 = ???

erica [24]

Answer:

hey:)

the answer is -8.11

there is no step-by-step explanation, because you have to either do it with a calculator or do it by yourself

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3 years ago

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Sketch the graph of y= (x - 3)2 - 25, then select the graph that corresponds

kupik [55]

Answer:

graph C

Step-by-step explanation:

because the vertex is h,k. h is -3 k is -25. C is the only graph with a vertex at that location.

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3 years ago

The quotient of 36 and 3 is j

MaRussiya [10]

the answer is 12 because

36÷12=3

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4 years ago

Of the 12 temporary employees in a certain company, 4 will be hired as permanent employees. If 5 of the 12 temporary employees a

Ivenika [448]

Answer:

<h2>70 possible groups</h2>

Step-by-step explanation:

Given the total number of employee to be equal to 12 temporary employee.

Number of women employee = 5 women

Number of men employee = 12 - 5 = 7 men

If 4 will be hired as permanent employees, the possible ways they can be grouped so that the 4 temporary employees consists of 3 women and 1 man can be done by applying the combination formula.

Combination has to do with selection. For example, if r objects are to be selected from n pool of similar objects, this can be done in <em>nCr </em>different ways.

$nCr = \frac{n!}{(n-r)!r!}$

According to question, we are to select 3 women from 5 women and 1 man from 7 men. Based on similarity in sex, this can be done in (5C3* 7C1) different ways .

$5C3 * 7C1\\= \frac{5!}{(5-3)!3!} * \frac{7!}{(7-1)!1!}\\\\= \frac{5!}{2!3!} * \frac{7!}{6!1!}\\\\= \frac{5*4*3!}{3!*2} * \frac{7*6!}{6!*1}\\\\= \frac{20}{2} * \frac{7}{1}\\ \\= 10*7\\\\= 70\ possible\ groups$

8 0

4 years ago

In AEFG, e = 9.8 cm, f = 3 cm and G=167º. Find the length of g, to the nearest 10th

sveta [45]

Answer:

g = 12.7 cm

Step-by-step explanation:

Here, we want to find the length of the side g

To do this, we shall employ the use of the cosine rule

Mathematically, by using the general form of the rule, we have it that ;

g^2 = e^2 + f^2 -2efCosG

So we have;

g^2 = (9.8)^2 + (3)^2 - 2(9.8)(3) cos 167

g^2 = 162.33

g = √162.33

g = 12.7

8 0

3 years ago