Evaluate the value of $$ x $$ in the expression below: $$ \log (x-1)+\log (x+8)=2 \log (x+2) $$ A closed cylindrical container of volume $$ 200 \mathrm{~cm}^{3} $$ is to be made fro Determine the radius and height of the container that will give a minis Prove the identities: $$ \frac{ ext { strut } x}{ ext { cosh } x-1}= $$ coth $$ x+\operatorname{cosech} x $$ Locate the stationary points of the function $$ y=x^{3}+3 x^{2}+3 x-1 $$ Express the equation of the parabola $$ y^{2}=3-5 x $$ into its polar form

Question

Evaluate the value of $$ x $$ in the expression below: $$ \log (x-1)+\log (x+8)=2 \log (x+2) $$ A closed cylindrical container of volume $$ 200 \mathrm{~cm}^{3} $$ is to be made fro Determine the radius and height of the container that will give a minis Prove the identities: $$ \frac{	ext { strut } x}{	ext { cosh } x-1}= $$ coth $$ x+\operatorname{cosech} x $$ Locate the stationary points of the function $$ y=x^{3}+3 x^{2}+3 x-1 $$ Express the equation of the parabola $$ y^{2}=3-5 x $$ into its polar form

Bates Christensen · Accepted Answer

1. $$ x = 4 $$ 2. The radius $$ r = \left(\frac{100}{\pi}ight)^{1/3} $$ cm and height $$ h = 2 \cdot 10^{1/3} \cdot \pi^{1/3} $$ cm 3. The identity is proven. 4. The stationary point is $$ x = -1 $$. 5. The polar form is $$ r^2 \sin^2 	heta + 5r \cos 	heta - 3 = 0 $$.

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