Show that the functions have exactly one zero

Mathematical Statistics with Applications 7
Let \(Y_{1}, Y_{2}, \ldots, Y_{n}\) denote a random sample from a Rayleigh distribution with parameter \(\theta\). (Refer to Exercise 9.34.) Show that \(\sum_{i=1}^{n} Y_{i}^{2}\) is sufficient for \(\theta\). Equation Transcription:

Physics with MasteringPhysics 4
A train is traveling up a \(3.73^{\circ}\) incline at a speed of \(3.25 \mathrm{~m} / \mathrm{s}\) when the last car breaks free and begins to coast without friction. (a) How long does it take for the last car to come to rest momentarily? (b) How far did the last car travel before momentarily coming

Organic Chemistry 2
Draw structures for all constitutional isomers with the followingmolecular formulas:(a) C4H10 (b) C5H12 (c) C6H14(d) C2H5Cl (e) C2H4Cl2 (f) C2H3Cl3

Biology 8
What characteristics do hagfishes have that lancelets and tunicates lack?

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

Chemistry: The Central Science 12
The reaction between reactant \(A\) (blue spheres) and reactant \(B\) (red spheres) is shown in the following diagram: Based on this diagram, which equation best describes the reaction? [Section 3.1] (a) \(\mathrm{A}_{2}+\mathrm{B} \longrightarrow \mathrm{A}_{2} \mathrm{~B}\) (b) \(\mathr

Organic Chemistry 8
How many signals are produced by each of the following compounds in its a. 1H NMR spectrum? b. 13C NMR spectrum?

Urban Economics 8
The city of Medianville has 100 citizens with income ranging from $20,000 to $70,000. The average income is $50,000 and the median income is $60,000. An individuals demand for open space depends only on income, and the indi- vidual demand curve (marginal benefit curve) has a vertical intercept equal