Answer:
Step-by-step explanation:
Let y = f(x)
y = ln(3x)
Exchange place with x and y.
x = ln(3y)
Solve for y.
y = (e^x)/3
Replace y with the inverse notation.
f^(-1) x = (e^x)/3
Done.
Answer:
V=15.44
Step-by-step explanation:
We have a formula
V=\int^{π/3}_{-π/3} A(x) dx ,
where A(x) calculate as cross sectional.
We have:
Inner radius: 5 + sec(x) - 5= sec(x)
Outer radius: 7 - 5=2, we get
A(x)=π 2²- π· sec²(x)
A(x)=π(4-sec²(x))
Therefore, we calculate the volume V, and we get
V=\int^{π/3}_{-π/3} A(x) dx
V=\int^{π/3}_{-π/3} π(4-sec²(x)) dx
V=[ π(4x-tan(x)]^{π/3}_{-π/3}
V=π·(8π/3-2√3)
V=15.44
We use a site geogebra.org to plot the graph.
Answer:
k x 1/2
Step-by-step explanation:
because k x 1/2 = k/2
Answer: decreases; negative correlation; not
Step-by-step explanation:
Just got it right in the assignment