Answer:
f. none of the above
Step-by-step explanation:
90 + 63 = 153
180 - 153 = 27
∠A = 27°
The Lagrangian,
has critical points where its partial derivatives vanish:
tells us , so that
Then with , we get
and tells us
Then there are two critical points, . The critical point with the negative -coordinates gives the maximum value, .
Answer:
m = 1/5
Step-by-step explanation:
The answer is 2000 customers paid the old rate, the remainder (500) paid new rate
Let <em>n</em> be the smallest of the three numbers. Then
<em>n</em> + (<em>n</em> + 1) + (<em>n</em> + 2) = 5 ((<em>n</em> + 1) - 22)
Solve for <em>n</em> :
3<em>n</em> + 3 = 5 (<em>n</em> - 21)
3<em>n</em> + 3 = 5<em>n</em> - 105
2<em>n</em> = 108
<em>n</em> = 54
Then the three numbers are 54, 55, and 56.