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>
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Answer:
The top is 5
The right side is 5
The bottom is 2x = 2*5 = 10
The left is 5-2 = 3
Step-by-step explanation:
The perimeter is the sum of the sides
x+x+ 2x + x-2 = 23
Combine like terms
5x-2 = 23
Add 2 to each side
5x-2+2 = 23+2
5x = 25
Divide each side
5x/5 = 25/5
x = 5
The top is 5
The right side is 5
The bottom is 2x = 2*5 = 10
The left is 5-2 = 3
Repeating decimal is the answer
Answer:
lo que opinaria sería modo serio pero en realidad no pero bueno lo que creo que sería bien sería pieseses pero eso tiene cosa que ver con la metoforsosis o como se llame