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 =
Answer:
p=0.05882
Step-by-step explanation:
Probability is the likelihood of an event occurring.
-A standard deck of cards has 4 kings.
#After one card is removed, 51 remains of which 3 are kings:

Hence, the probability that the second card is king is 0.05882
If nCk represents the number of ways k parts can be chosen from a pool of n, the probability of interest is the complement of the probability of selecting all good parts.
1 - (167C3)/(170C3) = 42,085/804,440 ≈ 0.0523
_____
nCk = n!/(k!(n-k)!)
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
<h3>What is a line?</h3>
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. A line segment is also a line but the line with finite length and having fixed endpoints.
The geometric term(s) modeled by each object
9. Stop sign ⇒ Hexagon
10. Tip of pin ⇒ Point
11. Strings of a violin ⇒ Line
12. A car antenna ⇒ Line
13. A library card ⇒ Plane
Hence, The geometric term(s) modeled by each object are Hexagon, point, line, line, and plane, respectively.
Learn more about Line here:
brainly.com/question/21511618
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Answer:
a
Step-by-step explanation: