Mathematics
20.01.2020 02:04
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In panama city in january, high tide was at midnight. the water level at high tide
In panama city in january, high tide was at midnight. the water level at high tide was 9 feet and 1 foot at low tide. assuming the next high tide is exactly 12 hours later and that the height of the water can be modeled by a cosine curve, find an equation for water level in january for panama city as a function of time (t).
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goodluck99
4,5(59 marks)
H(t) = a*cos((2pi/P)*t) + b,
a = amplitude of motion,
P = period
b = vertical displacement.
so a = [max. height - {min. height}]/2 =[9 - 1]/2 = 4,
b = [{max. height} +{min. height}]/2 = (9 + 1) / 2 = 5.
As P = 12 hours
so
h(t) = 4*cos[(2pi/12)*t] + 5 = 4*cos((pi/6)*t) + 5 is the required equation
hope it helps
a = amplitude of motion,
P = period
b = vertical displacement.
so a = [max. height - {min. height}]/2 =[9 - 1]/2 = 4,
b = [{max. height} +{min. height}]/2 = (9 + 1) / 2 = 5.
As P = 12 hours
so
h(t) = 4*cos[(2pi/12)*t] + 5 = 4*cos((pi/6)*t) + 5 is the required equation
hope it helps
yurionice42069
4,8(89 marks)
combinations.
Step-by-step explanation:
Given : A standard deck of 52 cards contains 13 cards with hearts, 13 with diamonds, 13 with clubs, and 13 with spades.
To find : The combination of 7-cards with 2 hearts, 2 diamonds, 2 clubs, and 1 spade.
Solution : Total 7 cards are in hand out of 52 cards in which,
2 hearts out of 13 hearts
2 diamonds out of 13 diamonds
2 clubs out of 13 clubs
1 spade out of 13 spades
As order doesn't matter,
Therefore the combination is
→ 
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