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 =
It is A. 0.05 represents one of his candies, and x represents how many of those, 0.10 represents the other candy while y represents how many of those candies. 1.00 is the total it should come to.
Answer:
25 , 17
Step-by-step explanation:
Let the unknown two numbers be x & y.
According to the question,
Sum of 2 numbers is 42.
x + y = 42 ⇒ ( 1 )
Their difference is 8.
x - y = 8 ⇒ ( 2 )
First let us find the value of x.
( 1 ) + ( 2 )
x + y + x - y = 42 + 8
2x = 50
Divide both sides by 2.
x = 25
And now let us find the value of y.
x + y = 42
25 + y = 42
y = 42 - 25
y = 17
Therefore, the two numbers are 25 , 17
Hope this helps you :-)
Let me know if you have any other questions :-)
Let the fraction be 5/5
remaining= 50%*5/5-1/5= 2.5/5-1/5=1.5/5
percentage =1.5/5*100=30%
A) 0
B) 6
C) middle number, or middle 2, averaged, so 3
D) 1
E) 4
F) 6-0 = 6