Answer: 5
Step-by-step explanation:
Pythagorean Theorem = a^2 + b^2 = c^2 (hypotenuse)
the square root of 4^2 + 3^2 = c
c = 5
Answer:
X>-9
Step-by-step explanation:
Distribute
-5x-35<10
add 35 on both sides
-5x<45
Divide -5 on both sides and flip the sign since your dividing by a NEGATIVE number
x>-9
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
Answer:
131 points
Step-by-step explanation:
Apex. Sad nobody came in clutch for me
It's divergent because 1/√(5 - <em>x</em>) is defined only for <em>x</em> < 5, which means the integral from 5 to infinity doesn't exist.