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lyudmila [28]
3 years ago
9

Find the derivative of y = arcsin(x)​

Mathematics
2 answers:
natta225 [31]3 years ago
8 0

Answer:

f'(x)= \frac{1}{\sqrt{1-x^{2} } }

Step-by-step explanation:

As khown the derivative of arcsin(x) is;

f'(x)= \frac{1}{\sqrt{1-x^{2} } }

mojhsa [17]3 years ago
7 0

Answer:

1 /√( 1 - x^2).

Step-by-step explanation:

y = arcsin x

x = sin y

dx/dy = cos y

dy/dx = 1 / cos y

Now cos y = √( 1 - sin^2 y)

but sin y = x so

cos y = √( 1 - x^2).

So dy/dx = 1 / √( 1 - x^2).

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Find the orthocenter of the triangle with the given vertices: L(2, 2), M(-4, 2), N(-2, 6) a (-2, 4) b (3, -5) c (2, -4) d (-3, 5
Norma-Jean [14]

9514 1404 393

Answer:

  (a)  (-2, 4)

Step-by-step explanation:

The orthocenter is the point of concurrence of the altitudes of the triangle.

A plot of the triangle vertices shows the triangle to be acute. That means the orthocenter is inside. This eliminates choices B, C, D, which are all points outside the triangle.

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Conveniently, side LM is horizontal. This means the orthocenter will have the x-coordinate of the vertical line through N, which is -2. Only one answer choice has an x-coordinate of -2:

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3 years ago
When Vivian was born, her grandparents decided to help save for her college education. They put $2000 in an account that pays 1.
melomori [17]

Answer:

P = 2000 * (1.00325)^(t*4)

(With t in years)

Step-by-step explanation:

The formula that can be used to calculated a compounded interest is:

P = Po * (1 + r/n) ^ (t*n)

Where P is the final value after t years, Po is the inicial value (Po = 2000), r is the annual interest (r = 1.3% = 0.013) and n is a value adjusted with the compound rate (in this case, it is compounded quarterly, so n = 4)

Then, we can write the equation:

P = 2000 * (1 + 0.013/4)^(t*4)

P = 2000 * (1.00325)^(t*4)

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A high school math class has 28 students: 18 seniors and 10 juniors. What is the probability that four randomly selected student
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Answer:

18/28, or percentage wise, approximately 64.2%

Step-by-step explanation:

Take the seniors and divide it by the total # of students, and you got your probability!

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Serhud [2]
Since the number ranges between 3 and 10, an equation can't be made because the number is always unknown or can be different every time
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