Write a structural formula for each of the following compounds: (a) o-Ethylanisole (b) m-Chlorostyrene (c) p-Nitroaniline

Decuce that $\frac{4}{3} \leqslant \int_{0}^{1} e^{x^{2}} d x \leqslant e$.

Sphingosine is a component of membrane lipids, including those found in nerve and muscle cells. How many stereoisomers are possible?

Differentiate the function. $y=\ln |\cos (\ln x)|$

Find the missing dimension of the cone. Round your answer to the nearest tenth. Volume = $900 \mathrm{mm}^{3}$, Radius = 6 mm, h = ?

Give a reason why the function is continuous on its domain. $f(x)=2 x^{2}-3$

Use a graph to find approximate -coordinates of the points of intersection of the given curves. Then use your calculator to find (approximately) the volume of the solid obtained by rotating about the -axis the region bounded by these curves. y=$x^4$, $y=3 x-x^{3}$

Give a reason why the function is continuous on its domain. $f(x)=\ln (\sqrt[3]{x})$

Differentiate the functions. $y=\frac{e^{x}+e^{-x}}{e^{x}-e^{-x}}$

Simplify. Express all answers in terms of positive exponents. Rationalize the denominator where necessary to avoid fractional exponents in the denominator. $\sqrt{75 k^{4}}$

Copper wire with a diameter of 0.5 cm is covered with a 0.65-cm layer of insulating material having a thermal conductivity of $0.242 \mathrm{W} / \mathrm{m} \cdot \mathrm{K}$. The air adjacent to the insulation is at 290 K. If the wire carries a current of 400 A, determine a. the convective heat-transfer coefficient between the insulation surface and the surrounding air b. the temperatures at the insulation-copper interface and at the outside surface of the insulation

Find the derivative of the function. $y=\left[x^{2}+(1-3 x)^{5}\right]^{3}$

The water in a biological wastewater treatment system must be heated from 15$^{\circ} \mathrm{C}$ to 40$^{\circ} \mathrm{C}$ for the microorganisms to function. If the flow rate of the wastewater into the process is 30 $m^{3} \cdot d a y^{-1}$, at what rate must heat be added to the wastewater flowing into the treatment system? Assume the treatment system is completely mixed and that there are no heat losses once the wastewater is heated. Answer: 3.14 $GJ \cdot d^{-1}$

A chemical is placed in a beaker containing 20 g of soil and 500 mL of water. At equilibrium, the chemical is found in the soil at a concentration of $100 \mathrm{mg} \cdot \mathrm{kg}^{-1}$ of soil. The equilibrium concentration of this same chemical in the water is $250 \mu g \cdot L^{-1}$ What is the partition coefficient for this chemical on this soil?