Answer:
a)
b) and c)
See explanation below
Step-by-step explanation:
a)
The combined resistance R is a function of the the two
parallel resistances
So
and we have
Similarly,
b)
If we divide both the numerator and denominator by 
in the expression for R, we get
hence, if we held 
constant and increase the fraction 
gets smaller and so does the denominator of R, as a consequence R gets larger.
When is very large, the denominator of R is close to 1, so R is close to
c)
By a symmetric reasoning, we see that R gets larger when holding constant and increases.
In this case, R gets closer to as grows.
Given: 674/(6+9/3)
Follow PEMDAS:
674/(6+3)
674/9
74.89 (I rounded the answer)
Answer:
π/10
Step-by-step explanation:
When we rotate the region about the y-axis, we get something that looks like a volcano, or a bundt cake. Instead of slicing this into flat washers, we'll slice it in concentric rings, or "shells".
Each shell has a radius x, a thickness dx, and a height y. The volume of an individual shell is:
dV = 2π r h t
dV = 2π x y dx
Since y = x² − x³:
dV = 2π x (x² − x³) dx
dV = 2π (x³ − x⁴) dx
The total volume is the sum of all the shells from x=0 to x=1.
V = ∫ dV
V = ∫₀¹ 2π (x³ − x⁴) dx
V = 2π (¼ x⁴ − ⅕ x⁵) |₀¹
V = 2π (¼ − ⅕)
V = π/10
Answer:
Jake 2 1/2 Aflfie 1
2 \frac{1}{2} : 1
Step-by-step explanation:
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2/3 is bigger because it is smaller in fraction size.
