Use a graphing utility and the change-of-base properly to graph y = log 3 x , y = log 25 x , and y = log 100 x in the same viewing rectangle. a. Which graph is on the top in the interval (0,1)? Which is on the bottom? b. Which graph is on the lop in the interval (1, ∞ )? Which is on the bottom? c. Generalize by writing a statement about which graph is on top. which is on the bottom, and in which intervals, using y = log b x where b > 1. Disprove each statement in Exercises 116-120 by a. letting y equal a positive constant of your choice, and b. using a graphing utility to graph the function on each side of the equal sign. The two functions should have different graphs. showing that the equation is not true in general.
Use a graphing utility and the change-of-base properly to graph y = log 3 x , y = log 25 x , and y = log 100 x in the same viewing rectangle. a. Which graph is on the top in the interval (0,1)? Which is on the bottom? b. Which graph is on the lop in the interval (1, ∞ )? Which is on the bottom? c. Generalize by writing a statement about which graph is on top. which is on the bottom, and in which intervals, using y = log b x where b > 1. Disprove each statement in Exercises 116-120 by a. letting y equal a positive constant of your choice, and b. using a graphing utility to graph the function on each side of the equal sign. The two functions should have different graphs. showing that the equation is not true in general.
Solution Summary: The author explains the base-change property for logarithmic functions, which is mathematically expressed as mathrmlog_ba=
Use a graphing utility and the change-of-base properly to graph
y
=
log
3
x
,
y
=
log
25
x
, and
y
=
log
100
x
in the same viewing rectangle.
a. Which graph is on the top in the interval (0,1)? Which is on the bottom?
b. Which graph is on the lop in the interval (1,
∞
)? Which is on the bottom?
c. Generalize by writing a statement about which graph is on top. which is on the bottom, and in which intervals, using
y
=
log
b
x
where b > 1.
Disprove each statement in Exercises 116-120 by
a.letting y equal a positive constant of your choice, and
b.using a graphing utility to graph the function on each side of the equal sign. The two functions should have different graphs. showing that the equation is not true in general.
~
exp(10). A
3. Claim number per policy is modelled by Poisson(A) with A
sample x of N = 100 policies presents an average = 4 claims per policy.
(i) Compute an a priory estimate of numbers of claims per policy.
[2 Marks]
(ii) Determine the posterior distribution of A. Give your argument.
[5 Marks]
(iii) Compute an a posteriori estimate of numbers of claims per policy.
[3 Marks]
2. The size of a claim is modelled by F(a, λ) with a fixed a
a maximum likelihood estimate of A given a sample x with a sample mean
x = 11
=
121. Give
[5 Marks]
Robbie
Bearing Word Problems
Angles
name:
Jocelyn
date: 1/18
8K
2. A Delta airplane and an SouthWest airplane take off from an airport
at the same time. The bearing from the airport to the Delta plane is
23° and the bearing to the SouthWest plane is 152°. Two hours later
the Delta plane is 1,103 miles from the airport and the SouthWest
plane is 1,156 miles from the airport. What is the distance between the
two planes? What is the bearing from the Delta plane to the SouthWest
plane? What is the bearing to the Delta plane from the SouthWest
plane?
Delta
y
SW
Angles
ThreeFourthsMe MATH
2
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How to determine the difference between an algebraic and transcendental expression; Author: Study Force;https://www.youtube.com/watch?v=xRht10w7ZOE;License: Standard YouTube License, CC-BY