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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The function rule is that each input (x value in (x,y)) should only equal to one output and one output (y value) can have more than one input.
✯the following is a function, so yes.
Answer:
Step-by-step explanation:
1) Expand
2) Simplify 6x - 36 - 5x + 35 to x - 1.
3) Cancle x on both sides.
4) Since −1 = 6 is false, there is no solution.
No Solution
Hence, this equation have no solution.
Answer:
1ml : 1m
Step-by-step explanation:
The scale factor of the drawing is the ratio of 1 milliliter and 1 meter; that is, 1ml : 1m.