Answer:
=8x^3+27
Step-by-step explanation:
First you are going to multply 2x by all of the other numbers in the 2nd parentheses, then do the same with 3. By doing this you should get and answer then combine like terms.
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
256, 340, 740, 740, 749, 999
Answer:
10 in.
Step-by-step explanation:
The area of a rhombus is the product of the lengths of the diagonals divided by 2.
Let the diagonals be x and y.
area = xy/2
Here you have
area = 40 in.^2
x = 8 in.
We are looking for y, the other diagonal.
xy/2 = area
(8 in.)y/2 = 40 in.^2
(8 in.)y = 80 in.^2
y = 10 in.
Answer: The other diagonal has length 10 in.
