Mathematics, 29.09.2019 04:30 princess6039
Twhat point does the curve have maximum curvature? y = 7ex (x, y) = what happens to the curvature as x → ∞? κ(x) approaches as x → ∞.
Answers: 1
![\frac{|{y}''|}{[1+{y}'^2]^\frac{3}{2}}](/tpl/images/0272/8657/d47e6.png)
![\frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}](/tpl/images/0272/8657/f61a0.png)
![{k(x)}'=\frac{7(e^x)(1+49e^{2x})(49e^{2x}-\frac{1}{2})}{[1+49e^{2x}]^{3}}](/tpl/images/0272/8657/c59a1.png)
[not possible ∵there exists no value of x satisfying these equation]
<0 at x=
![\lim_{x\to\infty } \frac{7e^{x}}{[{1+(7e^{x})^2}]^\frac{3}{2}}](/tpl/images/0272/8657/0de90.png)
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Twhat point does the curve have maximum curvature? y = 7ex (x, y) = what happens to the curvature a...
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