Match each of the given differential equations with one or more of these solutions: (a) y = 0, (b) y = 2, (c) y = 2x, (d) $y=2 x^{2}$. $x y^{\prime \prime}-y^{\prime}=0$

find the general solution of the given differential equation.y”−2y'+2y=0

Replace each $\bullet$ with < , >, or = to make a true sentence. $0 \bullet -35$

In the equation |x| = b, b is a positive real number. How many solutions does this equation have? Explain.

Graph each hyperbola. Give the domain, range, center, vertices, foci, and equations of the asymptotes. $4 y^{2}-25 x^{2}=100$

Name the compound. $\mathrm{FeBr}_{3}$

The volume of a balloon increased exponentially. At 1 p.m. the volume of the balloon was $100 \mathrm{cm}^{3}$, and 2 hours later the volume of the balloon was $300 \mathrm{cm}^{3}$. What time was it when the volume of the balloon was $400 \mathrm{cm}^{3} ?$

The following statements give the hometowns of different individuals. Use this information to convey the nationality of each person. Gustavo es de San José. ________

Complete each sentence with a logical adverb. The adjectives listed below provide the starting point for your adverb formation. Lento, especial, perfecto, proable, inteligente, rapido. Juan es un buen mecánico. _____ puede arreglar mi coche.

Choose the appropriate verbs and provide their correct forms in the imperfect tense in order to complete the following paragraph about a recent vacation. Hacer, ir, comer, haber, ser, querer. La familia Uribe ______ hacer muchas cosas en su viaje a México. Ellos ______ a visitar cinco ciudades pero decidieron pasar tiempo en Guadalajara y Puerto Vallarta. En Guadalajara ______ sol y calor y ________ muchos monumentos interesantes. En Puerto Vallarta los Uribe _______ a la playa y _______ en buenos restaurantes. Las vacaciones _______ muy especiales y divertidas para todos.

For $y=3 \sin t-\sqrt{2} e^{t}+\frac{1}{3} \ln |r|$, write the expression for the differential dy.

Give an example of a real-life problem that you can represent with a ratio.

Each of the statements given below is false. Explain why. The rate law for a reaction can be deduced from examination of the overall balanced equation for the reaction.

Write the metric unit of length that you would use to measure each of the following. width of a DVD player