The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444
Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
11/12 is the greatest fraction
Answer:
-46
Step-by-step explanation:
We need to find the common difference of this arithmetic sequence:

So, the common difference d = -4. We can now write the equation:


So, the 15th term is -46.
Hope this helps!
Answer:
19
Step-by-step explanation:
45-45-90 triangles always have two legs that are the same length, and a hypotenuse that is the length of the leg times sqrt 2.
Given the position of x, we know it is a leg and must be equal to the other leg, which is 19.