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Galina-37 [17]
3 years ago
12

Y=sech(tan‐¹x) find the derivative ​

Mathematics
1 answer:
Klio2033 [76]3 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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A circle with a radius of 10 inches is divided into sectors by an angle of 45 degrees. What is the length of the arc subtended b
DENIUS [597]

Answer:

The length of the arc is 7.85 in

Step-by-step explanation:

First of all we need to calculate the circumference

To solve this problem we need to use the circumferenc formula of a circle:

c = circumference

r = radius = 10 in

π = 3.14

c = 2π * r

we replace with the known values

c = 2 * 3.14 * 10 in

c = 62.8 in

The length of the circumference is 62.8 in

Now we have to get the relation of the sector with the circle, for this we divide 45° by 360°

45° / 360° = 1/8

we multiply this fraction with the circumference and obtain the length of the arc

62.8 in  * 1/8 = 7.85 in

The length of the arc is 7.85 in

3 0
4 years ago
Find the x-intercept for the line represented by this equation. y=5x-2
vfiekz [6]

Answer:

C

Step-by-step explanation:

The x- intercept is where the line crosses the x- axis. At this point on the x- axis the y- coordinate is zero.

To find the x- intercept let y = 0 in the equation and solve for x, that is

5x - 2 = 0 ( add 2 to both sides )

5x = 2 ( divide both sides by 5 )

x = \frac{2}{5} ← x- intercept

coordinates of x- intercept are (\frac{2}{5}, 0 ) → C

4 0
3 years ago
Which has the greatest value: 1/20, 1/80, or 1/100?
JulijaS [17]

Answer:1/20

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
Find the slope of the line.<br> a. -1<br> b. 2<br> C. -2<br> d. 1
allsm [11]

Answer:

I need the graph

Step-by-step explanation:

6 0
3 years ago
Please help this is kind of confusing
faltersainse [42]

Answer:

61

Step-by-step explanation:

(2x + 3) + (x - 6) = 180

3x - 3 = 180

3x = 183

x = 61

7 0
3 years ago
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