Answer will be (A) refer the attached photo
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:
7a ( 1,1)
7b ∅ or no solution
Step-by-step explanation:
The solution to the system is where the two functions intersect
For 7a. The parabola and the line intersect at (1,1)
For 7b The parabola and the line do not intersect so there is no solution
A tangent line is perpendicular to the radius to the point of tangency. Hence QR ⊥ PR. The Pythagorean theorem tells you
(QR)² + (PR)² = (PQ)²
(55 cm)² + (PR)² = (73 cm)²
(PR)² = 2304 cm²
(PR) = √(2304 cm²) = 48 cm
The length of PR is
b. 48 cm
