state the domains and ranges of f and f^-1. f(x) = √x+1.

State the domain and range of the function.

$$f(x)=-2cos3x$$

Approximate to three decimal places

$$\cos 0.68$$

A person pulls a toboggan for a distance of 35.0 m along the snow with a rope directed

$$25.0 ^ { \circ }$$

above the snow. The tension in the rope is 94.0 N. (a) How much work is done on the toboggan by the tension force? (b) How much work is done if the same tension is directed parallel to the snow?

The thermal efficiency of a reversible power cycle operating between hot and cold reservoirs is $20 \%$. Evaluate the coefficient of performance of (a) a reversible refrigeration cycle operating between the same two reservoirs. (b) a reversible heat pump cycle operating between the same two reservoirs.

Find $\lim _{x \rightarrow 1} \dfrac{x^2+2 x-3}{x^2-1}$, if it exists.

Find the limit (if it exists), $\lim\limits_{x \to 2}\frac{\vert x-2\vert}{x-2}$.

Based on the things Carlos and hisfriends like,

what activities do you think they like to do?

MODELO: A Roberto le gustan las peliculas. Le gusta ir al cine.

$$\begin{array}{lll} \text{ir al cine}& \text{ ver televisión}& \text{ escuchar música}\\ \text{jugar al tines}& \text{ comer comida italian }& \text{ jugar a los videojuegos }\\ \end{array}$$

A mis amigos les gustan los deportes.

Air enters the compressor of a Brayton refrigeration cycle at $100\ \mathrm{kPa}, 260 \mathrm{~K}$, and is compressed adiabatically to $300\ \mathrm{kPa}$. Air enters the turbine at $300\ \mathrm{kPa}, 300 \mathrm{~K}$, and expands adiabatically to $100\ \mathrm{kPa}$. For the cycle (a) determine the net work per unit mass of air flow, in $\mathrm{kJ} / \mathrm{kg}$. and the coefficient of performance if the compressor and turbine isentropic efficiencies are both $100 \%$. (b) plot the net work per unit mass of air flow, in $\mathrm{kJ} / \mathrm{kg}$, and the coefficient of performance for equal compressor and turbine isentropic efficiencies ranging from $80$ to $100 \%$.

A person working on the transmission of a car accidentally drops a bolt into a tray of oil. The oil is 5.00 cm deep. The bolt appears to be 3.40 cm beneath the surface of the oil, when viewed from directly above . What is the index of refraction of the oil?

Determine whether the decimal is terminating or repeating. 5.692

Consider the number $N$ to be located anywhere in the given array. By checking several locations in the array, determine how $N$ is related to the sum of all entries in the shaded cells. Describe the relationship in words.

Es el Año Nuevo y Ud. está trabajando en una emisora de televisión. Ud. está describiendo cómo las personas están pasando la noche en un restaurante popular. Complete las frases siguientes usando el gerundio de uno de los verbos dados (cada verbo debe usarse solamente uno vez).

comenzar                      divertirse     caer                                  tirar     tocar                                comer     celebrar                          cantar     besar                                bailar

Muchas personas siguen _______________________ serpentinas.

Write as a decimal. 4$\frac{1}{4}$