A grade line AB having a slope of -4% intersect another grade
line BC having a slope of +2% at B. The elevations of points A, B
and C are 93 m, 87 m and 92 m respectively. Determine the:
a) elevation of the sag of the 200 m vertical parabolic curve to
connect the grade lines;
b) location of sag from where the curve starts;
c) station of sag if PI is at station 10+20 (format:
00+00.00);
d) vertical...
a) Find area between parabola f(x) = x^2/2p and its chord AB
which is perpendicular to y-axis. Here A(a,f(a)), B(-a, f(-a)),
a<0, p>0.
b) Show also that this area is 2/3 of the area of the rectangle
bounded by lines AB, X -axis, x = a,x = b.
Given a segment, construct its perpendicular bisector.
Given a line an a point, construct the perpendicular to the line
through the point.
Given a line an a point not on the line, construct the parallel
to the line through the point.
A security market line has an intercept and slope of 1% and 9%.
This implies that
A. the risk-free interest rate is 1%
B. the market risk premium is equal to 9%
C. the required market return is 10%
D. all of the above
1. Write an equation of the line perpendicular to the line y=
-1/2x + 5 at (-4,3) and sketch its graph.
Draw the graph of y= 3 sin 2x from x=0 to x=2π.
Let f(x) = x - 4 and let g(x) = x^2 − 16. Specify the domain
of f(x)/g(x).
Draw the graph of y = -2+|x-3|
Draw the graph of y = -2x^2 + 8x - 3 and label its
minimum.
Draw the graph of y= squareroot of...
A straight line is drawn on the ground perpendicular to the
shore of a body of water, then the locations of a ground arthropod
species are measured along a 1-meter-wide band on either side of
the line. Use the Kolmogorov-Smirnov procedure on the following
data to test the null hypothesis of uniform distribution of this
species from the water's edge to a distance of 10 meters inland.
(Use R)
Distance from water (m)
Distance from water (m)
1.1
2.5
1.1...