Equations of Straight Lines on Various Graph Papers
... a number on one of the axes, you are actually
positioning it according to its logarithm.(i.e.,
the paper takes the log for you; the numbers
on the paper are antilogs.) The logarithms
themselves are not shown, but are spaced
arithmetically along the axes. For example,
log 1 = 0; log 10 =1; log 100 =2 ...
Answer Key_Midterm Review
... STA: (2)(A)| (6)(C)
TOP: 2-4 Problem 5 Identifying Transformations
KEY: transformation | translation | compression
REF: 2-4 Transformations of Absolute Value Functions
OBJ: 2-4.1 To graph absolute value functions
STA: (2)(A)| (6)(C)
TOP: 2-4 Problem 6 Writing an Absolute Value ...
Learning Objective: Solve Problems by Writing Proportions Example 1
... 2. Translate. Let the variable x represent the unknown quantity. In this case,
x = the number of miles Kathy’s Humvee can travel on 6 gallons of gasoline.
3. Solve. Since the ratio of 21 gallons to 588 miles is the same as the ratio of 6 gallons
to x miles, we can write the proportion
Analysis Final Review B
... Find the exact value of the six trigonometric
functions of the
given in the figure. (Use
the Pythagorean Theorem to find the third side of
9. A photographer points a camera at a window in a nearby building forming an angle of
with the camera
platform. If the camera is 54 meters from t ...
In general relativity, the geodesics of the Schwarzschild metric describe the motion of particles of infinitesimal mass in the gravitational field of a central fixed mass M. The Schwarzschild geodesics have been pivotal in the validation of the Einstein's theory of general relativity. For example, they provide quite accurate predictions of the anomalous precession of the planets in the Solar System, and of the deflection of light by gravity.The Schwarzschild geodesics pertain only to the motion of particles of infinitesimal mass m, i.e., particles that do not themselves contribute to the gravitational field. However, they are highly accurate provided that m is many-fold smaller than the central mass M, e.g., for planets orbiting their sun. The Schwarzschild geodesics are also a good approximation to the relative motion of two bodies of arbitrary mass, provided that the Schwarzschild mass M is set equal to the sum of the two individual masses m1 and m2. This is important in predicting the motion of binary stars in general relativity.