The easiest way to find such limits, where there is a numerator and a denominator is to apply <span><span>Hospital's Rule.
1st find the derivative of the numerator and the derivative of the denominator, if it still gives an indeterminate value, find the second derivative of N and D
3) lim sin(2x)/x when x →0
Derivative sin2x → 2cos2x
Derivative x→ 1
2cos2x/1 when x→0 , 2cos2x → 2
and lim sin(2x)/x when x →0 is 2
4) lim(sinx)/(2x²-x)
→cosx/(2x-1) when x →0 cosx/(2x-1) = -1
and lim(sinx)/(2x²-x) when x →0 is -1
and so on and so forth. Try to continue following the same principle
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Answer:
y = 156 when x = 12
Explanation:
<em>y</em> varies directly with <em>x</em>: y = kx
Step 1: Plug in variables
65 = 5k
Step 2: Solve for <em>k</em>
<em>k</em> = 13
Step 3: Plug in other variables (new)
y = 13(12)
y = 156
Answer:
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- <em>There are 30 experimental units in the experiment, which are the 30: the thirty sheets of metal.</em>
Explanation:
This table shows you how the <em>experimental</em> units, <em>sheets of metal</em>, were treated:
Metal 1 Metal 2 Metal 3 Total
Paint A 5 5 5 15
Paint B 5 5 5 15
Total 10 10 10 30
Fifteen sheets (units) were treated with <em>paint A</em>: 5 of metal 1, 5 of metal 2, and 5 of metal 3.
Fifteen sheets (units) were treated with <em>paint B</em>: 5 of metal 1, 5 of metal 2, and 5 of metal 3.
Answer: Yes
Plural Executive was created on 1876 constitution where there is a fragmented system of authority through which most statewide executive office holder are elected independently of governor.
However, one problem of plural executive is the potential conflict between governor & executive officials so when conflict emerges between state officials of the plural executive, the governor is most likely to become involved.
