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2 years ago

Evaluate the integral (tan3x)dx

1 answer:

5 0

The solution to the problem is as follows:

tan (3x) = sin(3x) / cos(3x)

let u = cos(3x), du = -3 sin(3x)

Integrating -1/3 du / u = -1/3 ln (u) = -1/3 ln (abs (cos(3x)) + constant

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Graham spent a total of $15.05 on 10 apples and a packet of strawberries. If a packet of strawberries cost $2.55, how much did e

Olenka [21]

Answer:

no no

Step-by-step explanation:

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2 years ago

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The areaot a square is 36 cm? What is the side length, s?

vichka [17]

Answer: 6

Step-by-step explanation: To find the side length of a square, you need to find the square root of the area because the side length squared is the area.

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2 years ago

Use counting to determine the whole number that corresponds to the cardinality of these sets:______. (a) A= (xl x € Nand 20.<

Harlamova29_29 [7]

Answer:

Step-by-step explanation:

Cardinality of a set is defined as number of element in a set. It is represented as n(X) where X is any set.

a) Given the set A =(x l x € N and 20.< x<27). According to the set, the set contains the values of natural numbers between 20 and 27. The values are 21, 22, 23, 24, 25 and 26

A = (21, 22, 23, 24, 25, 26)

According to the set A, it can be seen that there are 6 elements in the set, this means n(A) = 6.

b) Given B=(x | xeN and x+1=x)

Since natural numbers starts from 1, the first element in the set is 2 i.e 1+1

The elements of the set B = (2, 3, 4, 4...)

The number of whole number in the set is therefore infinite.

c) For the set C={x l xe N and (x- 1)(x - 9) = 0)

We need to get the root of the equation (x- 1)(x - 9) = 0

x-1 = 0 and x-9 = 0

x = 1 and x = 9

Hence the element C = (1,9)

The number of whole number in the set is n(C) = 2

d) D={xlx E N, H X 5 100, and x is divisible by both 5 and 8)

Given the value of x between 5 and 100, the values of x divisible by 5 = (10, 15, 20, 25, 30, 35, 40, 45, 50 , 55, 60 , 65, 70, 75, 80 85, 90, 95)

values of x divisible by 8 = (16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96)

The total number of elements in both set = 29 i.e n(D) = 29

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3 years ago

A man can take a same time to row 13km downstream and 7km upstream.His speed in still water is 5km/hr.The speed of stream is

vekshin1

Answer:

0.6 km/hr

Step-by-step explanation:

Speed downstream: 13/5= 2.6 km/hr

Speed upstream: 7/5= 1.4 km/hr

Therefore, Velocity of current is: 1/2 (2.6-1.4) km/hr = 1/2(1.2) km/hr

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1 year ago

Which of the expressions below can be factored using the difference of squares method?

zlopas [31]

Answer:

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

Step-by-step explanation:

The Difference of Squares Method for Factoring

The expression:

$a^2-b^2=(a-b)(a+b)$

Is a widely used method to factor binomials that are expressed as the subtraction of two perfect squares.

The condition for a binomial to be factored by using this method is that both terms must have an exact square root and they must be subtracted.

The last two choices are not valid because they are not a subtraction but an addition.

The first choice is not valid because none of the terms is a perfect square.

The second choice is correct. It can be factored as:

$9x^2-16y^2=(3x-4y)(3x+4y)$

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2 years ago