The equation of the circle is may be expressed as,
(x - h)² + (y - k)² = r²
where h and k are the abscissa and ordinates of its center, respectively, and r is radius. Substituting the given values to the equation above,
(x - 5)² + (y - 3)² = 4²
Simplifying further the equation gives,
x² + y² - 10x - 6y + 18
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
Let x=bob’s original amount of money
Let 9x=Bessy’s original amount of money
9x+4=5(x+4)
9x+4=5x+20
4x=16
x=4
9(4)=36
Bob had $4 before earning $4 and Bessy had $36 before earning $4
Answer:
IT WILL TAKE 4 WEEKS TO PRODUCE 5,600 CARS
