Answer:
A
Step-by-step explanation:
the answer is A because I got it right on my test
Answer:
4 and -3 i think
Step-by-step explanation:
the dot is on 4 and -3
Answer:
Step-by-step explanation:
Find dy/dx of the ellipse at (2,3)
Using Implicit Differentiation
Differentiate both sides of the equation with respect to x
isolate the term dy/dx
Evaluate at point (2,3)
For x=2, y=3
It looks like the given equation is
sin(2x) - sin(2x) cos(2x) = sin(4x)
Recall the double angle identity for sine:
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
sin(2x) - sin(2x) cos(2x) = 2 sin(2x) cos(2x)
Move everything over to one side and factorize:
sin(2x) - sin(2x) cos(2x) - 2 sin(2x) cos(2x) = 0
sin(2x) - 3 sin(2x) cos(2x) = 0
sin(2x) (1 - 3 cos(2x)) = 0
Then we have two families of solutions,
sin(2x) = 0 or 1 - 3 cos(2x) = 0
sin(2x) = 0 or cos(2x) = 1/3
[2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
(where n is any integer)
[2x = 2nπ or 2x = π + 2nπ]
… … … or [2x = arccos(1/3) + 2nπ or 2x = -arccos(1/3) + 2nπ]
[x = nπ or x = π/2 + nπ]
… … … or [x = 1/2 arccos(1/3) + nπ or x = -1/2 arccos(1/3) + nπ]
Answer:
22.79
Step-by-step explanation:
If you're looking for..
Area of a cylinder: × r² × h
the diameter is 2.9, and half of that is the radius (r).
22/7 * 1.45 * 5 = 22.79