Answer:
(x^4-8)^45 /180 +c
Step-by-step explanation:
If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.
If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.
Now we are ready to make substitutions into our integral.
Int(x^3 (x^4-8)^44 dx)
Int(((x^4-8)^44 x^3 dx)
Int(u^44 du/4)
1/4 Int(u^44 dul
1/4 × (u^45 / 45 )+c
Put back in terms of x:
1/4 × (x^4-8)^45/45 +c
We could multiply those fractions
(x^4-8)^45 /180 +c
Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
We have m = (6-0)/(7-5) = 6 / 2 = 3 ;
The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
A
x X x
= x^2
B
20 x 20 = 40
C
100 / 40 = 2.5 per square inch
<h3>
<u>Answers:</u></h3>
1. Name all the line segments.
<u>Ans.</u><u> </u> PL, LA, AY, YS,
2. How many line segments were formed?
<u>Ans.</u><u> </u> 4 (four)
3. Name all rays
<u>Ans.</u><u> </u>AM, AN
4. How many rays were formed?
<u>Ans.</u> 2 (two)
5. Name the opposite rays :
<u>Ans.</u><u> </u>AM, AN
6. Is point A between MN ?
<u>Ans.</u><u> </u>Yes
7. Find the line segments and rays formed by 5 points.
<u>Ans.</u><u> </u>
- Line segment = PL, LA, AY, YS,
- Rays = AM, AN
<h3>
Hope it helps you.</h3>
The final solutions are C1=7, C2=14
