Solve the given differential equation by using an appropriate substitution. $y^{\prime}+y \ln y=y e^{x}$

Solve the equation. $c+\frac{2}{3}=4 ; c=$ ______

Find possible choices for outer and inner functions f and g such that the given function h equals $f \circ g$. $h(x)=\sqrt{x^{4}+2}$

Divide. $2.6)\overline{137.8}$

Divide using synthetic division. $\left(x^{3}+x^{2}+x-14\right) \div(x+2)$

Evaluate the following derivatives and integrals. $\frac{d}{d x}(\ln \sqrt{10 x})$

Two chemicals A and B react to form a new chemical C. Assuming that the concentrations of both A and B decrease by the amount of C formed, find the differential equation governing the concentration x(t) of the chemical C if the rate at which the chemical reaction takes place is proportional to the product of the remaining concentrations of A and B.

Solve the given differential equation by using an appropriate substitution. $\left(x^{4}+y^{4}\right) d x-2 x^{3} y\ d y=0$

En grupos, trabajen para presentar un noticiero de la tarde. Presenten por lo menos tres reportajes sobre espectáculos, política, crimen y temas sociales.

Use patterns and mental math to add. $1.997 + 0.003$ = ______

Prove that the degree of polarization $\left(V_{r}\right)$ of reflected light can be expressed as $V_{r}=\frac{R_{\perp}-R_{\|}}{R_{\perp}+R_{\|}}$. [Hint: For unpolarized reflected light $I_{r \|}=I_{r \perp}$, whereas for polarized reflected light $I_{p}=I_{r \perp}-I_{r I \cdot]}$

Compute the fundamental groups of the "solid torus $S^{1} \times B^{2}$ and the product space $S^{1} \times S^{2}$.

What are some current examples of discount retailers?

From the list below, supply the words needed to complete the paragraph. Some words will not be used. conduit, ancillary, semblance, behest, dossier, martyr, philatelist. At the FBI Director's _____, Special Agent Ford compiled a[n] on Caroline Polk, including a list of charges, previous warrants, and a psychological profile. No, it was not every day that a stamp thief made it to the most-wanted list, but Polk had simply gone too far when she burglarized the stamp collection of Terry Moore, a well-known _____ and, more important, a United States senator. Identifying the suspect had taken only hours; thanks to some _____ guidance from the local police department's homicide unit, investigators found Polk's fingerprints all over the heating _____ that she used to enter the senator's house. Polk's fingerprints were on record, largely because she was the only person in the country currently wanted for the grand theft of precious stamps. The Bureau had declined to arrest Polk in the past, for she was known to be armed, and few agents were willing to become _____ to the cause of stamp collecting.