Answer:
x = log(1+√2) ≈ 0.38277569
Step-by-step explanation:
Let z = 10^x. Then the equation can be rewritten ...
z^2 -2z -1 = 0
z^2 -2z +1 -2 = 0 . . . . rewrite to a form with a square
(z -1)^2 = 2 . . . . . . . . . add 2
z -1 = ±√2 . . . . . . . . . . square root
z = 1 ± √2 . . . . . . . . . . add 1
From the definition of z, we know it must be positive, so the only viable solution here is ...
z = 10^x = 1+√2
x = log(1+√2)
x ≈ 0.38277569
Answer:
The values of theta where cos(theta) is 0 is equal to π/2 or 3π/2 so, the value of tan(theta) will be zero.
Step-by-step explanation:
As we know,
tan(theta) = sin(theta)/ cos(theta)
tan(theta) will be undefined whenever cos(theta) = 0
as anything divided by zero is undefined.
We need to find the values of theta where cos(theta) is 0.
cos(0) = 1
cos (π/2) = 0
cos(π) = 1
cos(3π/2) = 0
The values of theta where cos(theta) is 0 is equal to π/2 or 3π/2 so, the value of tan(theta) will be zero.
Answer:
(7,7)
Step-by-step explanation:
The maximum point in a graph is where the y value is the highest. On this graph, the point (7,7) has the highest y value of 7 of the entire graph, making it the maximum. Hope this helps!
