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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Associative property of addition
16xy, 24x^2y^2 are two expressions with gcf of 8xy.
Answer:
(25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Step-by-step explanation:
The general representation P(x,y) represents the Cartesian Representation of a point in a 2 Dimension.
Here, x represents the distance of the point P from y axis to the x axis.
and y represents the distance of the point P from x axis to the y axis.
(x, y) together gives the 2 dimensional representation of the point P.
Now here, the given coordinates are (25, 20)
So, here x = 25 and y = 20
So, (25, 20 ) represents that the dimension of the coral is 25 feet long and 20 feet wide.
Hence, option 3 is the most appropriate.
Answer: i put B an got it correct
Step-by-step explanation:
