They Have 2: <span>Like an ellipse, an hyperbola has two foci and two vertices; unlike an ellipse, the foci in an hyperbola are further from the hyperbola's center than are its vertices: The hyperbola is centered on a point (h, k), which is the "center" of the hyperbola. hope this helps c:</span>
Answer:
Maximum height of the arrow is 203 feets
Step-by-step explanation:
It is given that,
The height of the arrow as a function of time t is given by :
..........(1)
t is in seconds
We need to find the maximum height of the arrow. For maximum height differentiating equation (1) wrt t as :



t = 2 seconds
Put the value of t in equation (1) as :

h(t) = 203 feet
So, the maximum height reached by the arrow is 203 feet. Hence, this is the required solution.
Answer:
sin²2θ. (cos θ sin θ). cos 2θ
Step-by-step explanation:
finding g'(x)
g'(x)
= 4 (cosθsinθ)³ . { cosθ. (sinθ)' + sinθ. (cosθ)' }
- (cosθ)' = - sinθ
- (sinθ)' = cosθ
= 4 (cosθsinθ)³ { cosθ. cos θ + sinθ.(-sin θ)}
= 4 (cosθsinθ)³{ cos²θ - sin²θ}
- cos²θ - sin²θ = cos 2θ
- 2sinθ cosθ = sin 2θ
= (4 cosθ sinθ)². (cosθ sinθ). { cos²θ - sin²θ}
= <u>sin²2θ. (cos θ sin θ). cos 2θ</u>