Prove that there is no positive integer n such that n2 +

Introductory Chemistry 5
Balance each chemical equation. (a) \(\mathrm{Na}_{2} \mathrm{~S}(a q)+\mathrm{Cu}\left(\mathrm{NO}_{3}\right)_{2}(a q) \rightarrow \mathrm{NaNO}_{3}(a q)+\mathrm{CuS}(s)\) (b) \(\mathrm{HCl}(a q)+\mathrm{O}_{2}(g) \rightarrow \mathrm{H}_{2} \mathrm{O}(l)+\mathrm{Cl}_{2}(g)\) (c) \(\mathr

An Introduction to Thermal Physics 1
Problem 66P In analogy with the thermal conductivity, derive an approximate formula for the viscosity of an ideal gas in terms of its density, mean free path, and average thermal speed. Show explicitly that the viscosity Is Independent of pressure and proportional to the square root of the temperatur

Principles of General Chemistry 2
\(\mathrm{C}_{5} \mathrm{H}_{11} \mathrm{OH} ; \mathcal{M}=88.15 \mathrm{~g} / \mathrm{mol}\)) has nearly the same molar mass as hexane (\(\mathrm{C}_{6} \mathrm{H}_{14} ; \mathcal{M}=86.17 \mathrm{~g} / \mathrm{mol}\)) but is more than 12 times as viscous at \(20^{\circ} \mathrm{C}\). Explain.

Campbell Biology 10
Population ecologists follow the fate of same-age cohorts to a. determine a populations carrying capacity. b. determine the birth rate and death rate of each group in a population. c. determine if a population is regulated by density-dependent processes. d. determine the factors that regulate the siz

Campbell Biology in Focus - Standalone book 1
A recent revival of the antievolutionary intelligent design argument holds that biochemical pathways are too complex to have evolved, because all intermediate steps in a given pathway must be present to produce the final product. Critique this argument. How could you use the diversity of metabolic pa

Concepts of Biology 1
Figure 1.8 Which of the following statements is false? A. Tissues exist within organs which exist within organ systems. B. Communities exist within populations which exist within ecosystems. C. Organelles exist within cells which exist within tissues. D. Communities exist within ecosystems which exis

Urban Economics 8
Households in Metro differ in their demand for public schools: Half are low demanders (L ) and half are high demanders ( H ). In addition, houses differ in value: Half are expensive (E ) and half are cheap ( C ). The location choices of households are based on property taxes and spending on public sc

Biology for AP Courses
The secretion of hormones by the pituitary gland is an example of which type of signaling? a. autocrine signaling b. direct signaling across gap junctions c. endocrine signaling d. paracrine signaling