Answer:
A .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.
Step-by-step explanation:
p = 8l + 2
Length = l
Width:
2w = p - 2l
2w = (8l + 2) - 2l
2w = 6l + 2
w = 3l + 1
Therefor w is 3 times the length plus 1
by pythagorean formula, the last side is √(61)
by cos rule
cos A
A = 39.81
F(x)=(2/3)x^1.5
The centroid position along the x-axis can be obtained by
integrating the function * x to get the moment about the y-axis,
then divide by the area of the graph,
all between x=0 to x=3.5m.
Expressed mathematically,
x_bar=(∫f(x)*x dx )/(∫ f(x) dx limits are between x=0 and x=3.5m
=15.278 m^3 / 6.1113 m^2
=2.500 m
Answer:
y=ln(x/(1-x))
Step-by-step explanation:
y=e^x/(1+e^x)
Cross multiply
y(1+e^x)=e^x
Distribute
y+ye^x=e^x
Put anything with x on with side and everything without x on opposing side:
y=e^x-ye^x
Factor right hand side
y=(1-y)e^x
Divide both sides by (1-y)
y/(1-y)=e^x
Use natural log.
ln(y/(1-y))=x
The inverse is
y=ln(x/(1-x))
