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Galina-37 [17]
2 years ago
12

Y=sech(tan‐¹x) find the derivative ​

Mathematics
1 answer:
Klio2033 [76]2 years ago
8 0

Recall that

d/dx sech(x) = - sech(x) tanh(x)

d/dx tan⁻¹(x) = 1/(1 + x²)

Then by the chain rule,

dy/dx = - sech(x) tanh(x) / (1 + x²)

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Ms Clark bought 9 yards of fabric. She used it to make 13 identical scarves. How many yards of fabric did she use to make each s
Alona [7]

Answer:

9/13 or 0.69 yards

Step-by-step explanation:

To find the amount of fabric per scarves, divide the number of yards by the number of scarves.

9/ 13 = 0.69 yards per 1 scarf

6 0
3 years ago
What is the slope of the line that passes through (-2,-2) and (3,-1)?
JulsSmile [24]

Answer:

+1/5

Step-by-step explanation:

3 0
2 years ago
Leonard's parents told him that he can only play video games for less than 5 1/2 hours each week. Leonard has a new game and he
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2 years ago
Read 2 more answers
The figures are similar. Give the ratio of the perimeters and the ratio of the areas of the first figure to the second.
pickupchik [31]

Answer: first option.

Step-by-step explanation:

The ratio of the area of the triangles can be calculated as following:

ratio_{(area)}=(\frac{l_1}{l_2})^2

Where l_1 is the lenght of the given side of the smaller triangle and l_2 is the lenght of the given side of the larger triangle.

Therefore:

ratio_{(area)}=(\frac{28}{32})^2=\frac{49}{64}

It can be written as following:

ratio_{(area)}=49:64

The ratio of the perimeter is:

ratio_{(perimeter)}=\frac{l_1}{l_2}

Where l_1 is the lenght of the given side of the smaller triangle and l_2 is the lenght of the given side of the larger triangle.

Therefore:

ratio_{(perimeter)}=\frac{28}{32}=\frac{7}{8}

It can be written as following:

ratio_{(perimeter)}=7:8

5 0
3 years ago
Factor using the trinomial<br> 10.<br> X2 + 13x + 12
Rudik [331]

Answer:

Factoring the trinomial: x^2+13x+12 we get the factors \mathbf{(x+1)(x+12)}

Step-by-step explanation:

We need to factor the trinomial: x^2+13x+12

We can factor the trinomial by breaking the middle term i.e 13x

Such that adding or subtracting gets the both terms we get 13x and multiplying both terms we get 12x^2

We can break 13x as: 12x and x

Adding them we get 13x and multiplying them we get 12x^2

So,

x^2+13x+12\\=x^2+12x+x+12\\=x(x+12)+1(x+12)\\=(x+1)(x+12)

So, Factoring the trinomial: x^2+13x+12 we get the factors \mathbf{(x+1)(x+12)}

8 0
2 years ago
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