Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , thus
A(4, - 1 ) → A'(- 4, - 1 )
B(3, - 3 ) → B'(- 3, - 3 )
C(0, 2 ) → C'(0, 2 )
Answer:
If P(x) has the roots -11 and 6, then its multipliers can be written as
Step-by-step explanation:
P(x)=(x+11)(x-6)
P(x)=x2-6x+11x-66
P(x) = x2+5x-66
Answer:
C . The sun
plants absorb light which make carbohydrates which makes a part of bodies of animals and plants . When they die this compound in their bodies which later became coal
Answer:
4
Step-by-step explanation:
The question is not clear. You have indicated the original function as 12sin(0) - 9sin²(0)
If so, the solution is trivial. At 0, sin(0) is 0 so the solution is 0
However, I will assume you meant the angle to be
rather than 0 which makes sense and proceed accordingly
We can find the maximum or minimum of any function by finding the first derivate and setting it equal to 0
The original function is

Taking the first derivative of this with respect to
and setting it equal to 0 lets us solve for the maximum (or minimum) value
The first derivative of
w.r.t
is

And setting this = 0 gives

Eliminating
on both sides and solving for
gives us
Plugging this value of
into the original equation gives us

This is the maximum value that the function can acquire. The attached graph shows this as correct
One revolution is completed when a fixed point on the wheel travels a distance equal to the circumference of the wheel, which is 2π (13 cm) = 26π cm.
So we have
1 rev = 26π cm
1 rev = 2π rad
1 min = 60 s
(a) The angular velocity of the wheel is
(35 rev/min) * (2π rad/rev) * (1/60 min/s) = 7π/6 rad/s
or approximately 3.665 rad/s.
(b) The linear velocity is
(35 rev/min) * (26π cm/rev) * (1/60 min/s) = 91π/6 cm/s
or roughly 47.648 cm/s.