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:
A and B are correct
Step-by-step explanation:
It's asking what's true, so let me break this down for you.
If you look at the table, y has a row under the x row. Each of the boxes have numbers, and it's a so-called "pattern graph." A says, "The value of the function at x = 0 is y = 3." That means that the number 0 in the "x-row" has a 3 in the "y-row" (or below that number. That's all there is to it, and you just repeat this except different numbers, however... C and D aren't horizontal from each other so they are incorrect.
Answer:
the distance is 9.1 inches (please give brainliest)
Step-by-step explanation:
we must use the pythagorean theorem:
5.7^2 + 7.1^2 = c^2
(c being the distance being the two corners)
c^2 = 82.9
c = sqrt(82.9) ≈ 9.1
Answer:
Step-by-step explanation:
Given
Required
Translate 3 units right
The result of a right translated function is:
<em>Where h is the unit of translation</em>
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Solve for f(x - 3)
Hence;
Answer:is this true or false or something?
Step-by-step explanation:
