Answer: Let . (a) Show that . (b) Show that is not independent of path. [Hint: Compute

Principles of General Chemistry 2
How many grams of solid barium sulfate form when 35.0 mL of 0.160 M barium chloride reacts with 58.0 mL of 0.065 M sodium sulfate? Aqueous sodium chloride forms also.

Organic Chemistry 7
Problem 21P For each of the following compounds, indicate the aldehyde or ketone from which it would be formed by an aldol addition: a. 2-ethyl-3-hydroxyhexanal b. 4-hydroxy-4-methyl-2-pentanone c. 2,4-dicyclohexyl-3-hydroxybutanal d. 5-ethyl-5-hydroxy-4-mcthyl-3-heptanone

Anatomy & Physiology 1
Voltage-gated Na+ channels open upon reaching what state? a. resting potential b. threshold c. repolarization d. overshoot

Mathematical Statistics with Applications 7
Let Y1, Y2, Y3,... Yn be independent standard normal random variables. a What is the distribution of n i=1 Y 2 i ? b Let Wn = 1 n n i=1 Y 2 i . Does Wn converge in probability to some constant? If so, what is the value of the constant?

Campbell Biology in Focus 2
What are pathogens?

Organic Chemistry 8
Predict all approximate bond angles about each highlighted carbon atom. To make these predictions, use valence-shell electron-pair repulsion (VSEPR) theory (Section 1.4).

Advanced Engineering Mathematics 10
Find the trigonometric polynomial F(x) of the form (2) for which the square error with respect to the given f(x) on the interval \(-\pi<x<\pi\) is minimum. Compute the minimum value for \(N=1,2, \cdots, 5\) (or also for larger values if you have a CAS). \(f(x)=|x| \quad(-\pi<x<\pi)\)

Biochemistry 9
MATHEMATICAL Calculate the net ATP yield from oleic acid \(\left(18: 1 \quad \Delta^{9}\right)\). Hint: Remember the step that bypasses acyl-CoA dehydrogenase.