Let f ( x ) = x 5 − 1 , g ( x ) = x 3 − 4 x 2 + 8 , and h ( x ) = 2 x 4 + x 3 − x 2 + 3 x + 3 . Find the following function values by using synthetic division. Check by using substitution. h (–1)
Let f ( x ) = x 5 − 1 , g ( x ) = x 3 − 4 x 2 + 8 , and h ( x ) = 2 x 4 + x 3 − x 2 + 3 x + 3 . Find the following function values by using synthetic division. Check by using substitution. h (–1)
Solution Summary: The author explains how to calculate the value of h(x) at a point.
Let
f
(
x
)
=
x
5
−
1
,
g
(
x
)
=
x
3
−
4
x
2
+
8
, and
h
(
x
)
=
2
x
4
+
x
3
−
x
2
+
3
x
+
3
. Find the following function values by using synthetic division. Check by using substitution.
• Plane II is spanned by the vectors:
P12
P2 = 1
• Subspace W is spanned by the vectors:
W₁ =
-- () ·
2
1
W2 =
0
Three streams - Stream A, Stream B, and Stream C - flow into a lake. The flow rates of these streams are
not yet known and thus to be found. The combined water inflow from the streams is 300 m³/h. The rate of
Stream A is three times the combined rates of Stream B and Stream C. The rate of Stream B is 50 m³/h less
than half of the difference between the rates of Stream A and Stream C.
Find the flow rates of the three streams by setting up an equation system Ax = b and solving it for x.
Provide the values of A and b. Assuming that you get to an upper-triangular matrix U using an elimination
matrix E such that U = E A, provide also the components of E.
dent Application X GA spinner is divided into five cox | +
9/26583471/4081d162951bfdf39e254aa2151384b7
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow,
and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red
5
Blue
11
Green
18
Yellow
5
Purple
7
Based on these results, express the probability that the next spin will land on purple as a
fraction in simplest form.
Answer Attempt 1 out of 2
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Feb 12
10:11 O
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