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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Sphere Surface Area = <span> 4 • <span>π <span>• r²
50.27 = 4 * PI * r^2
</span></span></span>
<span>50.27 / (4 * PI) = r^2
</span>
<span>
<span>
<span>
4.0003594946
</span>
</span>
</span>
= r^2
r = sq root
(<span>
<span>
<span>
4.0003594946)
radius = </span></span></span>
<span>
<span>
<span>
2.0000898716
</span>
</span>
</span>
So the diameter =
<span>
<span>
<span>
4.0001797433
</span>
</span>
</span>
or it is roughly 4 feet
Answer:
B.) 45
Step-by-step explanation:
Answer:
-23/4
Step-by-step explanation:
