For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Three pumps ( A , B , and C ) work to drain water from a retention pond. Working together the pumps can pump 1500 gal/hr of water. Pump C works at a rate of 100 gal/hr faster than pump B . In 3 hr , pump C can pump as much water as pumps A and B working together in 2 hr . Find the rate at which each pump works.
For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination. Three pumps ( A , B , and C ) work to drain water from a retention pond. Working together the pumps can pump 1500 gal/hr of water. Pump C works at a rate of 100 gal/hr faster than pump B . In 3 hr , pump C can pump as much water as pumps A and B working together in 2 hr . Find the rate at which each pump works.
For Exercises 61-64, set up a system of linear equations to represent the scenario. Solve the system by using Gaussian elimination or Gauss-Jordan elimination.
Three pumps (
A
,
B
, and
C
) work to drain water from a retention pond. Working together the pumps can pump
1500
gal/hr
of water. Pump
C
works at a rate of
100
gal/hr
faster than pump
B
. In
3
hr
, pump
C
can pump as much water as pumps
A
and
B
working together in
2
hr
. Find the rate at which each pump works.
4
In the integral dxf1dy (7)², make the change of variables x = ½(r− s), y = ½(r + s), and
evaluate the integral. Hint: Find the limits on r and s by sketching the area of integration in the (x, y) plane along
with the r and s axes, and then show that the same area can be covered by s from 0 to r and r from 0 to 1.
7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin?
-
5π
6
π
(A) 0, л,
and
6
7π
(B) 0,л,
11π
, and
6
6
π 3π π
(C)
5π
2 2 3
, and
π 3π 2π
(D)
2' 2'3
, and
3
4元
3
1
די
}
I
-2m
3
1
-3
บ
1
#
1
I
3#
3m
8. The graph of g is shown above. Which of the following is an expression for g(x)?
(A) 1+ tan(x)
(B) 1-tan (x)
(C) 1-tan (2x)
(D) 1-tan
+
X
-
9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval
Quiz A: Topic 3.10
Trigonometric Equations and Inequalities
Created by Bryan Passwater
can you solve this question using the right triangle method and explain the steps used along the way
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