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I am Lyosha [343]
3 years ago
13

∫ 5cos(x) - 2sec²(x) dx

Mathematics
1 answer:
daser333 [38]3 years ago
5 0
\bf \displaystyle \int [5cos(x) - 2sec^2(x)]dx\implies 5\int cos(x)dx~-~2\int sec^2(x)dx
\\\\\\
5sin(x)-2tan(x)+C
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A transformation that maps the vertex A( 3 , 4 ) to A’ ( -4 , 3 ) is
Katen [24]

Answer:

"A translation of 7 units to the left followed by a translation of 1 unit down".

Step-by-step explanation:

There are multiple transformations that map one point into another, here is one example that works particularly for translations, which are the simplest (and usually the most used) transformations.

Suppose that we have the point (a, b) which is transformed into (a', b')

Then we have a horizontal translation of (a' - a) units followed by a vertical translation of (b' - b) units.

(the order of the translations does not matter, is the same having first the vertical translation and then the horizontal one).

Here we have the point A (3, 4) transformed into (-4, 3)

Then we have a horizontal translation of ((-4) - 3) = -7 units followed by a vertical translation of (3 - 4) = -1 units.

Where a horizontal translation of -7 units is a translation of 7 units to the left, and a vertical translation of -1 unit is a translation of 1 unit down.

Then we can write this transformation as:

"A translation of 7 units to the left followed by a translation of 1 unit down".

5 0
3 years ago
Many people believe that the daily change of price of a company's stock on the stock market is a random variable with mean 0 and
Tomtit [17]

Answer:

Step-by-step explanation:

We can use normal aproximation, assuming that the random variables are a lot of that means the sample size is large.

P(x>105) = P(z>\frac{105-100}{1})=P(z>5)

Using the normal distribution table,

P(z>5) = 0.00005

Hence, we can conclude that the probability that the stock’s price will exceed 105 after 10 days is very small.

Hope this helps!

8 0
4 years ago
Is k=6 a solution to the equation: 1/3k = 3
Step2247 [10]

Answer: No it's not

Step-by-step explanation:

1/3 x 6/1 = 6/3

6/3 = 2

8 0
3 years ago
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The scale on a map of Indiana is 1 inch=42 miles jill measured the distance on the map from the eastern border to the western bo
Temka [501]

Answer:

Step-by-step explanation:

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4 years ago
A group of tourists spends $168 to rent snorkels and fins. A total of 10 snorkels and 12 pairs of fins are rented. Renting a sno
allsm [11]
The snorkel costs $12 to rent!
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3 years ago
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