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ollegr [7]
3 years ago
15

Final Question!!!! College Math! I also did half of it!

Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0

Answer:

15π/4

9π /4

Step-by-step explanation:

5 \int\limits^4_1 {f(x)} \, dx  = 5 ((-π/4)+ π) = 5 (π-π/4) = 5(3π/4) = 15π/4

5 \int\limits^6_1 {|f(x)|} \, dx =  5(π/4 + 2π)  = 5(9π /4) = 45π/4

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I don't know what I'm doing wrong here, can anyone help?
Novosadov [1.4K]

if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

<h3></h3><h3>What is wrong with the graph?</h3>

When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.

In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:

y = 5 if x < - 2

y = -2x + 1 if  -2 ≤ x < 1

we don't have a discontinuity there, so there shouldn't be a dot.

That is the only error with the graph.

If you want to learn more about piecewise functions:

brainly.com/question/3628123

#SPJ1

8 0
2 years ago
Write your question here (Keep it simple and clear to get the best answer) simplify (3x-4y)(5x+2y)-(x+y)
Komok [63]

Answer:

15x^2−14xy−8y^2−x−y

Step-by-step explanation:

Combine like units.

3 0
3 years ago
Read 2 more answers
Solve for h<br> -8 &lt; -4h + 20
Vladimir [108]

Answer:

h < 7

Step-by-step explanation:

-8 < -4h + 20

4h < 28 / : 4

h < 7

5 0
3 years ago
The angle 0 lies in quadrant 1. sin 0=2/5 what is cos 0?
BaLLatris [955]

Answer:

√21/5

Step-by-step explanation:

Took the quiz:D (that’s a fraction btw)

7 0
3 years ago
F. -10x &gt;45<br> Solve the two step inequality
Daniel [21]

Answer:

x < -4.5

Step-by-step explanation:

<u>Step 1:  Solve for x</u>

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer:  x < -4.5

4 0
4 years ago
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