A small business sells handmade candles. The owner notices that when they sell the candles for $20 each, they sell 50 candles per month. For every $1 increase in the price, they sell 2 fewer candles per month.Write a quadratic function that represents the monthly revenue R(x) in terms of the price increase x.

Given the quadratic function F(x) = (x-3)^2 +5what is the vertex of the function

Please upload one pdf file with all your work.  This must be ONE file only.  PDF only. If you experience any issues, email your handwritten notes to: jiachi.ye@ufl.edu with the subject line: “Exam2Notes_[Your Name]” after completing your exam.

True/False.  Enter T or F for statement.  (Do not enter the words “true” or “false”.  Just the capital letter T or F)[1] Passive components are always linear. [2] silicon atoms forms ionic bonds to create a diamond lattice. [3] Valance holes move through the silicon lattice harder than conduction electrons. [4] Band diagrams are more quantitative than chemical bond models. [5] An ‘electron volt’ is a tiny unit of voltage.   [6] The brightness of an LED corresponds with the amount of current flowing through it. [7] N-channel MOSFETs require positive VGS to turn on. [8] A solar panel is essentially an array of photoresistors. [9] Biasing a PN junction changes the bandgap of the semiconductor. [10] Applying forward bias to PN junction increases the width of the depletion region.

In Hamlet’s first soliloquy, Hamlet is:  

In scene four / five, Hamlet goes away with the ghost against the advice of the guards and Horatio.  

Meatball Mulligan is holding a party to celebrate _____________.

What kind of animal is Callisto holding?

Two Schrodinger boxes containing either dead or alive cats are sliding along a frictionless surface. The boxes collide and stick together. We still don’t know whether the cats in the boxes are dead or alive. Quantum theory tell us that the cats are both in states of dead and alive (50/50) until you actually see them. What’s the velocity of the two boxes after they stick together? [Be careful with the signs.] Q7(2).jpg

When you were a kid, Christmas morning brought an exciting surprise—a toy car from your dad, but not just any toy car. This one was heavy and solid, making it feel like a real miniature car. It quickly became your favorite gift that year. Curious to test its strength, you decided to roll it on a perfectly smooth and frictionless surface. With all your might, you applied a 10 N force for 4 seconds, watching in awe as it zoomed across the floor. Little did you know, you were demonstrating the concept of impulse by applying a force over a period of time. Now imagine you wanted to achieve the same impulse but with a force twice as big. How long would the force need to act to match the effect of your initial push? Q4.jpg