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Musya8 [376]
3 years ago
7

Please help me on this question

Mathematics
1 answer:
Marrrta [24]3 years ago
4 0
It is the right answer........

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Y=arccos(1/x)<br><br> Please help me do them all! I don’t know derivatives :(
Stells [14]

Answer:

f(x) =  {sec}^{ - 1} x \\ let \: y = {sec}^{ - 1} x  \rightarrow \: x = sec \: y\\  \frac{dx}{dx}  =  \frac{d(sec \: y)}{dx}  \\ 1 = \frac{d(sec \: y)}{dx} \times  \frac{dy}{dy}  \\ 1 = \frac{d(sec \: y)}{dy} \times  \frac{dy}{dx}  \\1 = tan \: y.sec \: y. \frac{dy}{dx}  \\ \frac{dy}{dx} =  \frac{1}{tan \: y.sec \: y}  \\ \frac{dy}{dx} =  \frac{1}{ \sqrt{( {sec}^{2}   \: y - 1}) .sec \: y}  \\ \frac{dy}{dx} =  \frac{1}{ |x |  \sqrt{ {x }^{2}  - 1} } \\   \therefore  \frac{d( {sec}^{ - 1}x) }{dx}  =  \frac{1}{ |x |  \sqrt{ {x }^{2}  - 1} } \\ \frac{d( {sec}^{ - 1}5x) }{dx}  =  \frac{1}{ |5x |  \sqrt{25 {x }^{2}  - 1} }\\\\y=arccos(\frac{1}{x})\Rightarrow cosy=\frac{1}{x}\\x=secy\Rightarrow y=arcsecx\\\therefore \frac{d( {sec}^{ - 1}x) }{dx}  =  \frac{1}{ |x |  \sqrt{ {x }^{2}  - 1} }

4 0
2 years ago
(2,-1) <br> y-intercept -3 <br> slope 1/2<br><br> Write an equation with the given info above.
jek_recluse [69]

y-intercept -3  

slope 1/2

is sufficient info with which to write an equation for a straight line:

y = mx + b becomes y = (1/2)x - 3.

You should check this by determining whether or not (2,-1) satisfies this equation.

4 0
2 years ago
What is the surface area of the cube? cube with edge length = 3.6 in.
Anvisha [2.4K]
B.77.76 Sq in
I did 3.6^2 and then multiplied it by 6
Hope this helps :)
6 0
3 years ago
What is the value of k in the equation k/3 - 5 = 34?<br> 11 1/3<br> 13<br> 102<br> 117
mestny [16]

1. Add 5 to both sides

k/3 = 34 + 5

2. Simplify 34 + 5 to 39

k/3 = 39

3. Multiply both side by 3

k = 39 * 3

4. Simplify 39 * 3 to 117

k = 117

6 0
3 years ago
Read 2 more answers
Which represents a total cost of 3 dance tickets at a price of c for each, less a one-time $2 discount?
VLD [36.1K]

Answer: c. 3(c - 2)

Step-by-step explanation:
c. 3(c - 2) because, in order to get the total cost, you have to multiply the number of tickets (3) by the price of each ticket (c). Then, you have to subtract the discount (2) from that total cost.

8 0
1 year ago
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