Answer:
f(x)⁻¹ = x³ + 2
Step-by-step explanation:
Find the inverse of f(x) = ∛(x - 2).
The first step is to let f(x) = y
y = ∛(x - 2)
Then make x the subject of the formula
y³ = [∛(x - 2)]³
y³ = x - 2
x = y³ + 2
∴ f(x)⁻¹ = y³ + 2
Replacing y with x we have.
f(x)⁻¹ = x³ + 2
Answer:
Step-by-step explanation:
10^0=1
10^-3 = 1/10^3
4.0=4
so : 1.72×10^0/4.0×10^-3 = (1.72× 10^3)/4 =430
scientific notation is : 4.30× 10^2
Perpendicular slope: flip sign and reciprocal = 2
Y = 2x + b
Plug in point (8,5)
5 = 2(8) + b
5 = 16 + b
b = -11
Equation: y= 2x - 11
Answer:
The cosine function to model the height of a water particle above and below the mean water line is h = 2·cos((π/30)·t)
Step-by-step explanation:
The cosine function equation is given as follows h = d + a·cos(b(x - c))
Where:
= Amplitude
2·π/b = The period
c = The phase shift
d = The vertical shift
h = Height of the function
x = The time duration of motion of the wave, t
The given data are;
The amplitude
= 2 feet
Time for the wave to pass the dock
The number of times the wave passes a point in each cycle = 2 times
Therefore;
The time for each complete cycle = 2 × 30 seconds = 60 seconds
The time for each complete cycle = Period = 2·π/b = 60
b = π/30 =
Taking the phase shift as zero, (moving wave) and the vertical shift as zero (movement about the mean water line), we have
h = 0 + 2·cos(π/30(t - 0)) = 2·cos((π/30)·t)
The cosine function is h = 2·cos((π/30)·t).