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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Proportion women /men = 2/7 = x/490 7x= 2· 490 :7
X = 2·70 = 140
Answer:
Circle requires ≈ 20 m of edging
Step-by-step explanation:
A = πR²
R = √(A/π)
C = 2πR = 2π√(A/π)
C = 2π√(30/π) = 19.41625... ≈ 20 m
square needs ≈ 22 m of edging
equilateral triangle needs ≈ 25 m of edging
Answer:
B) A < 0
Step-by-step explanation:
I had the same question, and got it right.
Answer:
4 hair bow
Step-by-step explanation:
if 1/4 can make 1 hair bows you can make 4 hair bows
, it's simple 4/1=4
