Z dy py2 a2 = cosh1 y a or ln y + py2 a2 . Hint: See hints

An Introduction to Thermal Physics 1
Problem 5P For an Einstein solid with each of the following values of N and q, list all of the possible microstates, count them, and verify below formula. (a) N = 3, q = 4 (b) N = 3, q = 5 (c) N = 3, q = 6 (d) N = 4, q = 2 (e) N = 4, q = 3 (f) N = 1, q = anything (g) N = anything, q = 1 Formula:

Organic Chemistry 7
a. Which of the following has a nonpolar covalent bond? b. Which of the following has a bond closest to the ionic end of the bond spectrum? \(\mathrm{CH}_{3} \mathrm{NH}_{2}\) \(\mathrm{CH}_{3} \mathrm{CH}_{3}\) \(\mathrm{CH}_3\mathrm{F}\) \(\mathrm{CH}_{3} \mathrm{OH}\)

Biology 8
Which ofthe following does not occur during mitosis? a. condensation of the chromosomes b. replication ofthe DNA c. separation of sister chromatids d. spindle formation e. separation ofthe spindle poles

Anatomy & Physiology 1
Which element is important in directly triggering contraction? a. sodium (Na+ ) b. calcium (Ca++) c. potassium (K+ ) d. chloride (Cl)

Urban Economics 8
The 19th century brought many changes in commuting, from walking to omni- buses, electric trolleys (streetcars), and subways. a. For each commuting method, draw a housing-price curve for a monocentric city, labeling each curve with the date on which the method was introduced. b. Over time, the feasib

Advanced Engineering Mathematics 10
Solve the ODE by integration or by remembering a differentiation formula. \(y^{\prime}=4 e^{-x} \cos x\)

Applied Calculus For The Managerial, Life, And Social Sciences: A Brief Approach 10
In Exercises, find dy/dx by implicit differentiation. \(x^{2}+y^{3}=2 e^{2 y}\)