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
20...just draw 20 coins or something
Answer:
x = 21
Step-by-step explanation:
11x – 32 = 31 + 8x
11x = 63 + 8x
3x = 63
x = 21
g(x) has a greater rate of change in the interval 0<=x<=2.
The graph increases from -4 to -1, a change of +3
The table increases from 5 to 13, a change of +8.
Answer:
Round up all costs
Least expensive: $6
Most expensive: $13
Half (half of 12 people is 6) ordered $10 calculators so 6x10=$60
Other half
(6+13)/2= $9.5 round up to $10 so 6x10=$60
$60 + 60=$120 best estimate $125
Step-by-step explanation:
