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:
2,4,5,and 7
Step-by-step explanation:
a term is either a single number or variable, or numbers and variables multiplied together.
The LCM is the greater.
The GCF is a factor which divides in to each number so can never be equal to the greater number, whereas the LCM is the greater of the 2 numbers or a multiple of them
Answer:
The answer is in the image below
Answer: 18.7
Step-by-step explanation:
Find the lengths of AB, BC, and CA
AB = = 5 ≈ 7.1
BC = = 5 ≈ 7.1
CA = = 2 ≈ 4.5
7.1 + 7.1 + 4.5 = 18.7