The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
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Answer:
15
Step-by-step explanation:
60 divided by 4
Answer: part A: 5.4 because its a terminating deciaml Part B: 5.67854... and to the nearest hundereth is 5.68
Step-by-step explanation:
Answer:
B : 0.7
Step-by-step explanation:
Given:
Doug lives 7. Block away from his school.
Each block is about 265 feet long.
Question asked:
What is total round-trip distance,in miles that Doug walks to and from school each day ?
Solution:
Each block is about = 265 feet
7 Block = 
As he lives 7 block away from his school that means his round trip distance is,
7 block ( travel during going to school ) + 7 block ( when return from school )
<em>Therefore, his total round trip is 14 block, means 1855 feet + 1855 feet = 3710 feet.</em>
Now, we have to convert it into miles as here asked: (unitary method)
5280 feet = 1 mile
1 feet = 
3710 feet = 
= 
Thus, total round-trip distance,in miles that Doug walks to and from school each day is 0.7 miles.
Answer:
No,
12.8 = 12.800
Obviously, 12.800 <u>< </u>12.815.
