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frozen [14]
3 years ago
11

Answer and question is in the pictures.

Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Answer:

< - 52, 48 > and 70.77

Step-by-step explanation:

2v - 6u

= 2<- 11, 3 > - 6 < 5, - 7 >

= < - 22, 6 > - < 30, - 42 >

= < - 52, 48 >

| 2v - 6u | = \sqrt{(-52)^2+(48)^2} = \sqrt{5008} = 70.77


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The region R enclosed between the graph of the function y=x^2−4x+5 and the x-axis for 0≤x≤4 is partitioned into four subinterval
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Answer:

9.00 square units

Step-by-step explanation:

The width of the interval is 4 − 0 = 4.  Divided by 4 equal subintervals, the width of each subinterval is 4/4 = 1.

The subintervals are:

0 ≤ x ≤ 1

1 ≤ x ≤ 2

2 ≤ x ≤ 3

3 ≤ x ≤ 4

MRAM is midpoint rectangular approximation method.  So we use the midpoints of each interval to find the height of the rectangle:

f(0.5) = (0.5)² − 4(0.5) + 5 = 3.25

f(1.5) = (1.5)² − 4(1.5) + 5 = 1.25

f(2.5) = (2.5)² − 4(2.5) + 5 = 1.25

f(3.5) = (3.5)² − 4(3.5) + 5 = 3.25

So the total approximate area is:

A = 3.25 + 1.25 + 1.25 + 3.25

A = 9.00

Graph: desmos.com/calculator/x8dcibqszo

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3 years ago
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