Answer:
a) Is multiplied by the original exponent.
Step-by-step explanation:
the power rule works like this:
you want to find the derivative of ax
ⁿ
where n is the exponent and a is the coefficient
the derivative would equal (n ⋅ a)xⁿ⁻¹
e.g. you want to find the derivatives of 5x⁴
f'(x) = (4 ⋅ 5)x⁴⁻¹ = 20x³
f''(x) = (3 ⋅ 20)x³⁻¹ = 60x²
f'''(x) = (2 ⋅ 60)x²⁻¹ = 120x
f''''(x) = (1 ⋅ 120)x¹⁻¹ = 120
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
The correct answer is D. (1, 2)
V= 1/3 pi r^2h
Find the radius
r=d/2
r=8/2
r= 4
V= 1/3 pi (4)^2•6
V=32pi or 100.53
