Answer:
4 x^(3/2) + 5x -32
Step-by-step explanation:
This problem involves definite integration (anti-derivatives).
If dy/dx = 6x^(1/2) - 5, then dy = 6x^(1/2)dx - 5dx.
(1/2) + 1
This integrates to y = 6x
----------------
(1/2) + 1 x^(3/2)
= 6 ------------ + C
3/2
or: 4 x^(3/2) + C
and the ∫5dx term integrates to 5x + C.
The overall integral is:
4 x^(3/2) + C + 5x + C. better expressed with just one C:
4 x^(3/2) + 5x + C
We are told that the curve represented by this function goes thru (4, 20).
This means that when x = 4, y = 20, and this info enables us to find the value of the constant of integration C:
20 = 4 · 4^(3/2) + 5·4 + C, or:
20 = 4 (8) + 20 + C
Then 0 = 32 + C, and so C = -32.
The equation of the curve is thus 4 x^(3/2) + 5x -32
(1/2 + 1)
Answer:
There is nothing there...
Step-by-step explanation:
There is nothing at all.
Answer:
<h2>
V ≈ 160.85 cm³ ≈ 0,161 l</h2>
Step-by-step explanation:
Volume of cylinder: V = π×r² × h
r = 3.2 cm
h = 5 cm
Volume:
V = π×(3.2)²×5 = 51.2π cm³ = 160.8495.... cm³ ≈ 160.85 cm³
The answer is 1, each number has 8 added to it.
Also, i hated IXL so goodluck-
Answer:
$220 dollars
Step-by-step explanation:
a = p * w (the percentage formula)
subsitute. It rose by 30 % since last year so you're going to put 1.30 (30% -> 0.30 then add 1)
286 = 1.30 * w
solve.
w = 220