Answer: 5x5x5x5
Step-by-step explanation:
5^4 is just multiplying 5 by itself 4 times
The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
Answer:
n = 20 or n = -2
Step-by-step explanation:
Solve for n over the real numbers:
n^2 = 18 n + 40
Subtract 18 n + 40 from both sides:
n^2 - 18 n - 40 = 0
The left hand side factors into a product with two terms:
(n - 20) (n + 2) = 0
Split into two equations:
n - 20 = 0 or n + 2 = 0
Add 20 to both sides:
n = 20 or n + 2 = 0
Subtract 2 from both sides:
Answer: n = 20 or n = -2
Answer:
x ≈ 34.88 square cm
Step-by-step explanation:
Solve by proportional formula:
Area of a sector/area of circle* = sector central arc measure/360
*area of a circle = πr²
x/(53.29π) = 75/360
x/53.29π = 0.2083
x = 11.1020833π
x = 34.8782233
x ≈ 34.88 square cm
Answer:
<h2>C) the length of each shape will alternate between even and odd numbers</h2>
Step-by-step explanation:
the rest are incorrect
