Expressing the numbers as decimal, we have
0.5% = 0.5/100 = 0.005
1/20 = 0.05
1.5% = 1.5/100 = 0.015
From least to greatest, we have: 0.5%, 1.5%, 0.047, 1/20
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:
-2
Step-by-step explanation:
3.3÷(0.8−3)−0.5
First think of PEMDAS
So first do parenthese
(0.8-3)=-2.2
3.3÷-2.2-0.5
Now do division
3.3/-2.2=-1.5
and now subtraction
-1.5-0.5=-2
Answer:
f=4
Step-by-step explanation:
1) first we have to get the "f" by itself. to do this we subtract the 1 from the right side of the equation.
2) and what you do to one side you ALWAYS do to the other side!!! so subtract 1 from the 5 also
3) this leaves you with 4=f
hope this helps!
Answer:
A = 28 units ^2
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
The base is 14 and the height is 4
A = 1/2 (4) * 14
A = 28 units ^2