I believe the correct answer from the choices listed above is option B. The variable y is the independent variable here and x is the dependent variable so the function can be represented as f(y). The function should be written as:
<span>x = f(y) = 7 + y</span>
We are given the equation <span>an = (n^2/ sqrt(n^3+4n)) and asked to determine if the function is divergent or convergent. In this case, we find the limit of the function as n approaches infinity.
an = </span><span> (n^2/ sqrt(n^3+4n))
lim (n to infinity ) = infinity / infinty: ;indeterminate
Using L'hopitals rule, we derive
</span><span>lim (n to infinity ) = 2 n / 0.5* ( </span><span>n^3+4n) ^-0.5 * (3 n2 +4) : infinity / infinity
again, we derive
</span>lim (n to infinity ) = 2 (0.25) (( n^3+4n) ^-0.5))*(3 n2 +4) / 0.5* ( 6n + 4) :infinity / infinity
<span>
again,
</span>lim (n to infinity ) = 2 (0.25) (6n + 4) / 0.5* ( 6)* 0.5 <span>(( n^3+4n) ^-0.5))</span>
this goes on and the function is divergent
Simply going to factorise this:
v(v - 1) -2(1 - v):
Note 1 - v = -(v-1)
<span>v(v - 1) -2(1 - v)
</span>
<span>v(v - 1) -2(-(v - 1))
</span>
<span>v(v - 1) +2(v - 1)</span>
(v + 2)(v - 1)
Answer:
A. 28cm^3
Step-by-step explanation:
V = lwh
L: 2
W: 2
H: 7
V = (2)(2)(7)
V = 4(7)
V = 28cm^3
Answer:
The rate is usually given as a percent.
To find the discount, multiply the rate by the original price.
To find the sale price, subtract the discount from original price.
Step-by-step explanation:
The rate is usually given as a percent.
To find the discount, multiply the rate by the original price.
To find the sale price, subtract the discount from original price.
