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7 2 points Classical conditioning is a type of associative learning that deals with involuntary behavior. True False

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Problem 05-10 (algo) The following is a report from a BLS survey taker: There were 115 people in the houses I visited. 30 of them were children under the age of 16, 25 people had full-time jobs, and 15 had part-time jobs. There were 10 retirees, 5 full-time homemakers, 14 full-time students over age 16, and 3 people who were disabled and cannot work. The remaining people did not have jobs, but all said they would like one. 10 of these people had not looked actively for work for three months, however. Find the labor force, the unemployment rate, and the participation rate implied by the survey taker's report. Labor force: people Instructions: Enter your responses rounded to two decimal places. Unemployment rate: % Participation rate: %

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Case Study #2 A 57-year-old male was brought to the endoscopy suite for dint prior to initiation of sedation, prepped. After moving the patient to the procedy and the physician cancels the procedure. he develops significant hypertension Assign the code for hospital services. Index: Code(s): A 57-year-old male was brought to the endoscopy su Case Study #2 Assign the code for hospital services. Index: Code(s):

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Find the slant asymptote of $f(x) = \frac{x^2 - 7x + 12}{x - 1}$

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Find all points on the curve $y = \frac{11}{2}x^2 - x^3$ where the tangent line is horizontal. The point(s) is/are $oxed{}$ . (Simplify your answer. Type an ordered pair, using integers or fractions. Use a comma to separate answers as needed.)

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In this experiment you disregarded the pulley itself and only computed the moment of inertia of the aluminum disk, disk with the ring, and two masses on the rod. Because of that, should the slope of the torque vs. angular acceleration graph be larger or smaller than your computed values of the moment of inertia? Justify your answer.

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Consider a quantum particle of mass $m$ moving in an infinite well of width $2a$ not centered at the origin, but centered at $x = 0$. (a) Find the solutions of the Schrödinger equation, apply the appropriate boundary conditions, normalize the wavefunctions, and show that the resulting quantized energies are identical to those we found in class. (N.B.: To verify that you got the correct result, you should plot your first three solutions and compare them to the first three solutions that we got in class. Should they be different?) (b) Describe the relationship between your wavefunctions and the ones derived in class. (c) Discuss why the positioning of the well should have no effect on any measurable quantities.

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Question 2 (9 marks). Consider the following systems of two linear second order ODEs: $\dot{z}_1(t) = -z_1(t) + az_2(t) + u_1(t)$, $\dot{z}_2(t) = -z_2(t) + az_1(t) - 2u_2(t)$, where $a$ is some parameter. (i) Re-write this system in a state space form. (ii) For what values of $a$ this system is controllable? (iii) For what values of $a$ this system is controllable from $u_1$ alone? (iv) For what values of $a$ this system is controllable from $u_2$ alone? (v) If the controls are constrained to be equal, $u_1 = u_2$, for what values of $a$ this system is controllable? (vi) Find the transfer function from $u$ to $z = \begin{pmatrix} z_1 \ z_2 \end{pmatrix}$. Hence find the the Smith- Mcmillan form.

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50. Find the dot product for $2i + 4j$ and $-j$.

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Exactly five years ago, Tom and Jerry borrowed $715,000 from Westpac to purchase a lovely terrace in Newtown. Since then they have been making monthly loan repayments based on an interest rate of 4.68% p.a. compounding monthly and a loan term of 20 years. They have now sold this property and are required to fully repay this loan. How much must they pay now to fully discharge their debt?

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