Given two functions are
f(x) = 2 cos(x)
g(x) = 3 sin(x+
)
We know that the maximum value of cos x and sin x is always 1
y= maximum of cos = 1
y= maximum of sin =1
f(x) = 2 cos(x)
y= 2 (max of cos) = 2(1) = 2
g(x) = 3 sin(x+
)
y= 3 (max of sin) = 3(1) = 3
g(x) = 3 sin(x+
) has the maximum value.
Answer:
C=6π
Step-by-step explanation:
It is given that, two circles are identical. The radius of first circle is 2x and the diameter of other circle is 2x+3.
If identical, it means that the radius of both circles are same i.e.

Radius of both circles is 2(1.5)=3
The circumference of a circle is given by :

So, the circumference of each circle is 6π.
Answer:
16
Step-by-step explanation:
because 7 times 4 is 28
4 times 4 is 16.
also it says 1/4 and yeah the little box is 1/4 of the big one so that is your answer <3 :]
Answer:
2s or 3s
Step-by-step explanation:
Given the function that models the height of the object as;
h(t) = - 16t^2 + 80t + 96
The ball reaches the ground when h = 0
Substitute
0 = - 16t^2 + 80t + 96
Divide through by -16
0 = t²-5t-6
t²-5t-6 = 0
t²-2t-3t+6 = 0
t(t-2)-3(t-2) = 0
(tt-2)(t-3) = 0
t - 2 = 0 and t-3 = 0
t = 2 and 3s
Hence it will take the ball 2s or 3s to reach the ground