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Andrew [12]
3 years ago
14

What is the Derivative of y=sec(x2)y=sec(x^2)?

Mathematics
2 answers:
wolverine [178]3 years ago
6 0
y=sec(x^2)=\frac{1}{cos(x^2)}=[cos(x^2)]^{-1}\\\\y'=-cos(x^2)^{-2}\cdot[-sin(x^2)]\cdot2x\\\\=\frac{1}{cos^2(x^2)}\cdot sin(x^2)\cdot2x=\frac{2xsin(x^2)}{cos(x^2)cos(x^2)}=2x\cdot\frac{sin(x^2)}{cos(x^2)}\cdot\frac{1}{cos(x^2)}\\\\=\boxed{2xtg(x^2)sec(x^2)}
steposvetlana [31]3 years ago
4 0
y=\sec x^2\\
y'=\tan x^2 \sec x^2 \cdot2x\\
y=2x\tan x^2 \sec x^2

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AleksandrR [38]
Okay, let's work this out...
What we know:
-32 stamps in all
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What we "want to know" :
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Problem Solving :
This is actually very easy its just the words than get ya!
1st : we need to figure out the factors of 32...
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Note:(* means multiplication)
#1: What are the factors of 32?
32: 1*32 , 2*16 , 4*8
32: 32*1 , 16*2 , 8*4
The factors (not including 1 are 2,4,8,16)
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That ¦ is 1 way with 16 in 2 rows. Basic multiplication, 16*2=32 or 16+16=32.
But, this is also a way,
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Now there should be 2 in each row and 16 rows. Again 2*16=32 or 2+2+2+2+2+2+2+2+2+2+2+2+2+2+2+2=32
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Another way which is 4 rows with 8 in each.
4*8=32 or 8+8+8+8=32
But, this is also a way,
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Now that is 8 rows with 4 in each. 8*4=32 or 4+4+4+4+4+4+4+4=32
That was our fourth way.
Again NOT including 1. If you include 1 then there will be 6 ways but aside from that there are 4 ways.
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3 0
3 years ago
Find the greatest common factor of the following monomials 26n5 12n2
Sidana [21]

The greatest common factor is 2n^{2}


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With the variables, we take out as many as the lowest number will let us. Since the smallest number of n's is 2 in the second term, we take that many.

8 0
3 years ago
Which sum represents the partial fraction decomposition?​
Alex Ar [27]

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7 0
3 years ago
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Ivenika [448]

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5 0
3 years ago
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Elena-2011 [213]

Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

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Givens

Arc1 = 60

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Solution

The red dot angle = 1/2 (60 + 100)

The red dot angle = 1/2(160)

The red dot angle = 80

Because the red dot angle and <3 are on the same line with the same common point, they are supplementary.

<3 and red dot = 180

<3 + 80 = 180                          Subtract 80 from both sides

<3 = 180 - 80

<3 = 100

8 0
3 years ago
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