Match carbon dioxide (CO2), carbon disulfide (CS2), and carbon diselenide (CSe2) with their correct boiling points, based on their intermolecular forces.

Use the diagram below to answer the following questions: Which transition would correspond to freezing (fusion) [phase1]? Which transition would correspond to condensation [phase2]? At which point are the solid and liquid phases present in equilibrium [phase3]?

Problem 1. (15 pts) Consider the signal $$x[n] = 2 \left( \frac{1}{4} \right)^{-\frac{n}{4}} e^{j (3\pi n – 2)} u[-n].$$ Find the total energy of \(x[n]\). Problem 2. (15 pts) Consider the signal$$x(t) =  \cos \left(3 t \right) – \sin \left(2t + \frac{\pi}{4} \right) .$$ (a) Is \(x(t)\) periodic? If so, what is its fundamental period? (b) Repeat (a) for the discrete-time version of the signal, i.e.,$$x[n] =  \cos \left(3 n \right) – \sin \Big(2n + \frac{\pi}{4} \Big).$$ Problem 3. (10 pts) Consider the following signal $$x[n] = \sin\left({\pi n – \frac{\pi}{4}}\right)$$ Is \(x[n]\) even, odd, both, or neither? Explain in 1-2 sentences. Problem 4. (15 pts) A system is described by the input-output relationship$$y(t) = x(2^{-t}).$$ (a) Is the system causal? Explain in 1-2 sentences.  (b) Is the system stable? Justify your answer. Problem 5. (15 pts) A system is described by the input-output relationship$$y[n] = \left( x[n] – x[n – 1] \right) u[n].$$ (a) Is the system linear? Justify your answer. (b) Is the system time-invariant? Justify your answer. Problem 6. (10 pts) A discrete-time LTI system has an impulse response$$h[n] = u[n – 5] – 1.5 u[n – 10] + 2 \delta[n + 5].$$ Is the system causal? Justify your answer. Problem 7. (20 pts) A continuous-time LTI system has an impulse response \(h(t) = e^{-3t} u(t)\).  We input a signal \(x(t) = u(t + 1) – u(t – 2)\) to this system.  Use convolution to determine the output \(y(t)\), and provide a rough sketch of the output. Congratulations, you are almost done with Midterm Exam 1.  DO NOT end the Honorlock session until you have submitted your work to Gradescope.  When you have answered all questions:  Use your smartphone to scan your answer sheets and notes pages and save the scan as a PDF. Make sure your scan is clear and legible.  Submit your PDF to Gradescope as follows: Email your PDF to yourself or save it to the cloud (Google Drive, etc.).  Click this link to go to Gradescope to submit your work: Midterm Exam 1 Return to this window and click the button below to agree to the honor statement. Click Submit Quiz to end the exam.  End the Honorlock session. 

A sample of methane, CH4, occupies a volume of [x] mL at 25°C and exerts a pressure of 1115.0 mmHg. If the volume of the gas is allowed to expand to [y] mL at 298.15 K, what will be the pressure of the gas (in mmHg)? (Report your answer in mmHg to 1 decimal place, i.e. xxx.x) (No units are necessary in answer.)

True or False Wright and Cervetti’s (2016) research indicated that in almost all cases, teaching word meanings supported comprehension of text containing the target words BUT there was limited evidence that direct teaching of vocabulary, even long term interventions, improves generalized comprehension.

The following is an example of what type of vocabulary instruction… The Speech-Language Pathologist is having a student read a book about a child not knowing about his birthday party, but instead thinking he was going to his grandmother’s house for dinner. When the child showed up for dinner all of his friends were there for a party for his birthday, and he had no idea and was in shock. You had the student read this story to learn about the word “surprise.”

True or False Marulis and Neuman (2010) found the largest effect sizes for learning vocabulary when using a combination of explicit and implicit approaches.

According to the research by Jitendra et al. ( 2011), which types of interventions had significant effects on vocabulary development in students with disabilities?

The research supports which of the following interventions as having the strongest effects when teaching vocabulary to secondary students?

A nurse is caring for a 9-year-old child who has a new diagnosis of a UTI. The child reports intermittent discomfort in the genital area both during urination and when not urinating. Which of the following medications should the nurse expect to administer to provide prompt relief?