Show that the characteristic of divides a2 + b2.

Introductory Chemistry 5
Classify each substance as a pure substance or a mixture. If it is a pure substance, classify it as an element or a compound. If it is a mixture, classify it as homogeneous or heterogeneous. (a) helium gas (b) clean air (c) rocky road ice cream (d) concrete

College Physics 1
For a fixed initial speed, the range of a projectile is determined by the angle at which it is fired. For all but the maximum, there are two angles that give the same range. Considering factors that might affect the ability of an archer to hit a target, such as wind, explain why the smaller angle (cl

Principles of General Chemistry 2
Problem 15P A compound of iodine and cesium contains 63.94 g of metal and 61.06 g of nonmetal. How many grams of cesium are in 38.77 g of compound? How many grams of iodine?

Sears and Zemansky's University Physics with Modern Physics 13
On a winter day in Maine, a warehouse worker is shoving boxes up a rough plank inclined at an angle above the horizontal. The plank is partially covered with ice, with more ice near the bottom of the plank than near the top, so that the coefficient of friction increases with the distance x along the

Organic Chemistry 9
For each pair of ions, determine which ion is more stable. Use resonance forms to explain your answers. (a) CH3 CH CH3 + CH3 CH OCH3 + or (b) + 3 CCH CH3 3 NCH CH3 + 3 CCH CH3 3 CHCH CH3 or (c) CH2 CH CH+ CH3 or CH2 CH CH2 + CH2 (d) CH2 CH3 or 2 NCCH (e) CH2 + CH2 + or (f) O O

Organic Chemistry 9
Dimethylamine, (CH3)2NH, has a molecular weight of 45 and a boiling point of 7.4 C. Trimethylamine, (CH3)3N, has a higher molecular weight (59) but a lower boiling point (3.5 C). Explain this apparent discrepancy.

Anatomy & Physiology 1
Langerhans cells are commonly found in the ________. a. stratum spinosum b. stratum corneum c. stratum granulosum d. stratum basale

Advanced Engineering Mathematics 10
CAS PROJECT. Direction Fields. Discuss direction fields as follows. (a) Graph portions of the direction field of the ODE (2) (see Fig. 7), for instance, \(-5 \leqq x \leqq 2,-1 \leqq y \leqq 5\). Explain what you have gained by this enlargement of the portion of the field. (b) Using implicit di