a. Write a variation model using k as the constant of variation if Z is directly proportional to the cube of A and inversely proportional to the square root of 8 . b. If Z = 100 when A = 2 and B = 25 , what is the constant of proportionality k ?
a. Write a variation model using k as the constant of variation if Z is directly proportional to the cube of A and inversely proportional to the square root of 8 . b. If Z = 100 when A = 2 and B = 25 , what is the constant of proportionality k ?
Solution Summary: The author explains how to determine the value of the constant of proportionality k.
a. Write a variation model using
k
as the constant of variation if
Z
is directly proportional to the cube of
A
and inversely proportional to the square root of
8
.
b. If
Z
=
100
when
A
=
2
and
B
=
25
, what is the constant of proportionality
k
?
1. A bicyclist is riding their bike along the Chicago Lakefront Trail. The velocity (in
feet per second) of the bicyclist is recorded below. Use (a) Simpson's Rule, and (b)
the Trapezoidal Rule to estimate the total distance the bicyclist traveled during the
8-second period.
t
0 2
4 6 8
V
10 15
12 10 16
2. Find the midpoint rule approximation for
(a) n = 4
+5
x²dx using n subintervals.
1° 2
(b) n = 8
36
32
28
36
32
28
24
24
20
20
16
16
12
8-
4
1
2
3
4
5
6
12
8
4
1
2
3
4
5
6
=
5 37
A 4 8 0.5
06
9
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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Linear Equation | Solving Linear Equations | What is Linear Equation in one variable ?; Author: Najam Academy;https://www.youtube.com/watch?v=tHm3X_Ta_iE;License: Standard YouTube License, CC-BY