Answer:
Option (a) is correct.

Step-by-step explanation:
Given :A function has real zeros at x = −10 and x = −6 .
We have to find the function that has real zeros at x = −10 and x = −6.
Consider real zeros at x = −10 and x = −6.
x = - 10 ⇒ x + 10 = 0
x = - 6 ⇒ x + 6 = 0
Multiply both zeroes, we have,

Apply Distributive rule,

we have,

Simplify, we have,

Thus, 
Option (a) is correct.
OK so we need to find the function v(t) which will tell us where the particle is at any given time.
We know that the derivative of distance is speed and the derivative of speed is acceleration.
In this case we need to work backwords and find the integrals.
a(t) = 13 sin(t) + 4 cos(t)
s(t)= integral of above = 13(-cos(t)) + 4(sin(t)) + C
v(t)= integral of above = -13sin(t) -4cos(t) +Ct + D
Now I believe you have incorrect initial conditions
s(0) = 0, s(2π) = 10
As cos and sin functions have the same value at 0 and 2Pi the above cannot be true.
My guess is that one is s(0) and the other is v(2Pi) or the other way round.
These initial conditions will determine the value of the two constants: C and D.
Hope this helps.
Answer:
432
Step-by-step explanation:
The formula for volume of a rectangular prism is length x width x height
V = lwh
V = 8 x 6 x 9
V = 432
If you're solving for d your answer is d = -t,rt
If you're evaluating the problem your answer is t = d/r
If you're solving in terms of arbitrary letter d your answer is r=d/t
I hope this helps!
The answer is 6/21 is not in its simplest form as you can still divide them both by 3