4 x 7 is 28, and 8 x 7 is 56. You can use 4 x 7 to find 8 x 7 by multiplying that first and doubling that quotient.
Half of 56 is 28, therefore doubling that allows us to find the quotient of 8 x 7.
When x<span> approaches to </span><span>+∞</span><span> the function </span><span>e^<span>3x</span></span><span> becomes much bigger then </span><span>e^<span>−3x</span></span><span>, which obviously means that </span><span>e^<span>−3x</span></span><span> can be neglected in both numerator and denominator.
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Here's how I figured this out:
</span><span>lim <span>x →+∞ </span></span>= (<span><span><span>e^(<span>3x))</span></span>− (<span>e^(<span>−3x)) / (</span></span></span><span><span>e^<span>3x)) </span></span>+ (<span>e^(<span>−3x)) </span></span></span></span>= <span>lim <span>x → +∞ </span></span><span><span>e^<span>3x / </span></span><span>e^<span>3x </span></span></span>= 1
Answer:
8 3/4 below sea level
Step-by-step explanation:
Given that:
Depth of fish at 7:00 A. M = 3 1/2 feets below sea level
Depth at 11:00a.m (4 hours later) = 5 1/4 feets below it's position at 7:00 a. M
Rational number to represent position of fish with respect to the water surface at 11:00 a. M
Position at 11:00 a. M :
Addition of the two depth distances given :
(3 1/2 + 5 1/4)
7/2 + 21/4 = (14 + 21) / 4 = 35 / 4
35/4 = 8 3/4 feets below sea level
Answer:
To find angle y you subtract the two angles form 180 degrees because it is a straight line. Then you subtract angle y and 72 from 180 because a triangle adds up to 180 degrees and you get angle x.
Hope this helps, ask if you have any more questions!
