?If f and g are twice differentiable functions, show that?2(fg) = f?2g + g?2f + 2?f ?g

Physics with MasteringPhysics 4
Problem 38P What is the highest tree the ball in the previous problem could clear on its way to the longest possible holc-in-one? Reference (previous) Problem: . A golfer gives a ball a maximum initial speed of 34.4 m/s. (a) What is the longest possible hole-in-one for this golfer? Neglec

An Introduction to Chemistry 2
Problem 42QP Tetraphosphorus trisulfide, P4S3, is used in the heads of wooden matches. This material is manufactured by the heating of a mixture of red phosphorus and sulfur. 8P4(s) + 3S8(s) ?8P4S3(s) What is the limiting reactant when each of the following sets of quantities of reactants is mixed? (

Chemistry: The Central Science 12
Problem 27E Intermolecular Forces (Section) Ethylene glycol (HOCH2CH2OH), the major substance in antifreeze, has a normal boiling point of 198 C. By comparison, ethyl alcohol (CH3CH2OH) boils at 78 C at atmospheric pressure. Ethylene glycol dimethyl ether (CH3OCH2CH2OCH3) has a normal boiling poi

Elementary Statistics: A Step by Step Approach 8th ed. 8
Soft Drink Consumption A researcher claims that the yearly consumption of soft drinks per person is 52 gallons. In a sample of 50 randomly selected people, the mean of the yearly consumption was 56.3 gallons. The standard deviation of the population is 3.5 gallons. Find the P-value for the test. On t

Anatomy & Physiology 1
Explain why the smell of smoke when you are sitting at a campfire does not trigger alarm, but the smell of smoke in your residence hall does.

Anatomy & Physiology 1
Closer to the heart, arteries would be expected to have a higher percentage of ________. a. endothelium b. smooth muscle fibers c. elastic fibers d. collagenous fibers

Brief Applied Calculus
First make a substitution and then use integration by parts to evaluate the integral. \(\int t^{3} e^{-t^{2}} d t\)

Biochemistry 9
State why the following terms are important in biochemistry: polymer, protein, nucleic acid, catalysis, genetic code