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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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luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. what is the total cost of th
aivan3 [116]

<u>ANSWER: </u>

The total cost of the skate board is $74.61.

<u>SOLUTION: </u>

Given, Luis wants to buy a skateboard that usually sells for $79.99. all merchandise is discounted by 12%. luis has to pay a state sales tax of 6.75%.  

We need to find what is the total cost of the skateboard.

Final cost is nothing but original amount subtracted by discount and added with tax.

final cost = original cost – discount + sales tax

Original cost = $79.99

Discount = 12% of original cost

\begin{array}{l}{=12 \% \times 79.99} \\\\ {=\frac{12}{100} \times 79.99} \\\\ {=\frac{959.88}{100}} \\\\ {=9.5988}\end{array}

discount is $9.6 approximately

Sales tax = 6% of cost after discounting

\begin{array}{l}{=6 \% \times \text { (original cost - discount) }} \\\\ {=\frac{6}{100} \times(79.99-9.6)} \\\\ {=\frac{6}{100} \times(70.39)} \\\\ {=\frac{422.34}{100}} \\\\ {=4.2234}\end{array}

Sales tax is $4.22 approximately

Now, final cost = 79.99 – 9.6 + 4.22

= 84.21 - 9.6

= 74.61

Hence, the total cost of the skate board is $74.61

6 0
3 years ago
If you solve this for me I’ll love you forever (but seriously I need the answer ASAP)
mash [69]

Description:

This will be no solution because when we add 10 to both sides of the equation then simplify it. After that we will subtract 6 from both sides. It will give us no solution. For more info please see the attachment.

Answer: No solution

Hope this helps.

8 0
3 years ago
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What is 190% of 66? Round to the nearest hundredth.
Aneli [31]

Answer:

190% of 66= 125.4

rounded to the nearest tenth:130

4 0
3 years ago
James says that 12 is a common factor of 3 and 4.june says that 12 is common multiple of 3 and 4.who is correct.
Sliva [168]
June is correct because <span>12 is a </span>multiple<span> of both </span>3 and 4<span>.</span>
7 0
3 years ago
Read 2 more answers
Find the area on the shaded region
mars1129 [50]

Answer:

83.2 cm^2

Step-by-step explanation:

To solve this we're going to find the area of the bigger triangle (the shaded and unshaded parts together) and then the area of the smaller triangle (the unshaded part) and then subtract that from the area of the bigger triangle. We're going to use the equation: Area=1/2 x base x height. So the base of the big triangle is 16, and the height is (10.4+8.6 = 19). Put into the equation this looks like this: Area=1/2 x 16 x 19, so by multiplying we find that the area is 152 cm^2. Next we find the small triangle's area, Area=1/2 x 16 x 8.6, so the area is 68.8. Then to find the area of the shaded part, we subtract the unshaded area  (68.8) from the whole area (152), 152-68.8=83.2.

4 0
2 years ago
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