Mole equivalencies 1 mole = 6.022 x 1023 atoms, molecules, particles Heat equivalencies Cwater = 4.18 J/g°C 1 calorie (cal) = 4.184 joules (J) q = m x C x ΔT                                                   q = m x ΔHfusion                                                                                   ΔHfusion = heat of fusion constant = 334 J/g q = m x ΔHvaporization                                                                     ΔHvaporization = heat of vaporization constant = 2,230 J/g

Solve the following IVP using the Laplace Transform: Note: You do not need to type anything in here, please include your answer with your uploaded scratch paper. 

a.  Give an example of a function whose domain is all real numbers. b.  Give an example of a function whose domain is all real numbers except 3 and -2. c.  Give an example of a function whose domain is all real numbers that are greater than, or equal to, 5.

Find 5 ordered pair solutions that could be used to plot points to create the graph of this function.  f(x)=2x-4{“version”:”1.1″,”math”:”f(x)=2x-4″} Show how you determined/calculated the ordered pair solutions.

Simplify completely: 210xy5+xy38-72{“version”:”1.1″,”math”:”210xy5+xy38-72″}

Given the function:  f(x)=3×2-7x+2{“version”:”1.1″,”math”:”f(x)=3×2-7x+2″} What are the coordinates of the vertex? Does the parabola open up or down?  Explain how you know. Find 4 other ordered pair solutions that could be used to plot points to create the graph of this function.  Show how you determined/calculated the ordered pair solutions.

Solve the equation: x2-9=7×2+x-10{“version”:”1.1″,”math”:”x2-9=7×2+x-10″}

Given this function: f(x)=x2-7x+6×2-6x{“version”:”1.1″,”math”:”f(x)=x2-7x+6×2-6x”} What value(s) of x would make this function undefined? What is f(-3){“version”:”1.1″,”math”:”f(-3)”}? 

You are dispatched to an unresponsive person at an automotive garage. On arrival, you find a middle-aged man lying on the ground by a tire rack.Which of the following functions is under the control of the autonomic nervous system?

You are dispatched to an unresponsive person at an automotive garage. On arrival, you find a middle-aged man lying on the ground by a tire rack.Which portion of the brainstem is responsible for a person’s level of consciousness?