Take the derivative with respect to t

the maximum and minimum values occur when the tangent line is zero so we set the derivative to zero

divide by w

we add sin(wt) to both sides

divide both sides by cos(wt)

OR

(wt)=2(n*pi-arctan(2^0.5))
(wt)=2(n*pi+arctan(2^-0.5))
where n is an integer
the absolute max and min will be

since 2npi is just the period of cos

substituting our second soultion we get

since 2npi is the period

so the maximum value =

minimum value =
Y = -2x - 7
slope = -2 (parallel shares the same slope, -2)
Option A:
y = -2x + 7
slope = -2
At (3, 1)
y = -2(3) + 7 = 1
Answer: Option A
All the choices are correct.
_____
In our base-10 number system, moving a digit one place to the left multiplies its value by 10. Moving it one place to the right multiplies its value by 1/10.
You know already that 1,000 has 10 times the value of 100, and 1/10 the value of 10,000.
Pretty sure it’s B I could be wrong
Answer:
Step-by-step explanation:
x=number of talk mnutes
Sage uses 7 minutes = x-7
Tom uses 4 and 3 minutes = x-4-3 = x-7