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keith sullivan

keith s.

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3. Parts of Exercise 1.53. Consider a plane $\pi$ in $\mathbb{R}^3$ with Cartesian equation $ax + by + cz + d = 0$. (b) Prove that the plane $ax + by + cz = 0$ is the set $$ \left\{ \mathbf{v} \in \mathbb{R}^3; \left\langle \mathbf{v}, \mathbf{N}_{\pi} \right\rangle = 0 \right\} $$ where $\mathbf{N}_{\pi} = (a,b,c)$. We will say that $\mathbf{N}_{\pi}$ is normal to $ax + by + cz = 0$, and also to $\pi$. (c) Prove that the points on $ax + by + cz + d = 0$ are the set $$ \left\{ \mathbf{v} \in \mathbb{R}^3; \left\langle \mathbf{v} - \mathbf{x}_0, \mathbf{N}_{\pi} \right\rangle = 0 \right\} $$ where $\mathbf{x}_0$ is any fixed point on $\pi$.

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Muscle fibers are termed type I (red) or type II (white). Which is a characteristic of type II fibers? Abundant capillary supply Slow contraction speed None of these describe type II fibers Use oxidative metabolism primarily for energy production Do not tire very easily

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A teacher wants to deliver a sticker to Johnny every time he says "Please." This would be considered positive reinforcement if: Question 32 options: a) The behavior of saying "Please" increases over time. b) The behavior of saying "Please" decreases over time. c) The behavior of saying "Please" does not change over time. d) The behavior of sticker giving decreases over time.

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In this problem, assume that the batteries have zero internal resistance. The currents are flowing in the direction indicated by the arrows. Find the current through the 13.8 ohm resistor and the 4.7V battery at the top circuit.

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According to Jeong, Christensen, & Drolet (2016), all of the following statements are true about chronically indecisive people EXCEPT: - They tend to rely more on others for making decisions. - They tend to spend little time on making decisions. - They have difficulty prioritizing decision subtasks. - They tend to engage in variety-seeking behavior.

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Systems of Equations and Matfiles Solving a system of linear equations given its augmented matrix Suppose that the augmented matrix of a system of linear equations for unknowns $x$, $y$, and $z$ is $\begin{bmatrix} 1 & 0 & -4 & | & 21 \ -3 & 1 & 10 & | & 4 \ 2 & 0 & -8 & | & 21 \ \end{bmatrix}$ Solve the system and provide the information requested. The system has: A unique solution which is Infinitely many solutions two of which are $x = $ $y = $ $z = $ No solution $x = $ $y = $ $z = $

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1. A copper single crystal, which has a face-centered cubic structure with a lattice parameter (edge length) of a = 0.361 nm, experiences the passage of 100 dislocation lines (100 dislocations), each with a Burgers vector of [110]/2. (i) Calculate the resulting change in length along the [110] direction due to these dislocations. (60%) (ii) Is it possible for a tensile stress of 400 MPa, applied along the [001] direction, to activate the slip system of (111)[110]? Assume that the critical resolved shear stress, $\tau_{crss}$ of the single crystal is 200 MPa. Additionally, the values of $\lambda$ and $\phi$ are 90° and 54.75° respectively. (40%) $= 6 \cos(90) \cos(45)$

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1. Create a student table with the following columns: • id - fixed-length string with 9 characters, primary key • name - variable-length string with up to 50 characters • birthdate - date • gpa - decimal value representing the grade point average, with 2 decimal digits. Create a course table with the following columns: • crn - course reference number, fixed-length string with 5 characters, primary key. • courseName - variable-length string with up to 20 characters • days - variable-length string with up to 5 characters • time - time • capacity - integer with range 0 to 100 Add two constraints: • gpa must be greater than 0 and less than or equal to 4.0. • capacity must be less than or equal to 35. 2. Create a studentCourse table with the following columns: • studentID - fixed-length string with 9 characters, partial primary key, foreign key references to student(id). • courseID - fixed-length string with 5 characters, partial primary key, foreign key references to course(crn) • grade - fixed-length string with a single character. If a row is deleted from the student table, the rows with the same student id should be deleted from studentCourse automatically. If a row is deleted from the course table, the same course id should be set to NULL in the studentCourse table automatically.

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4. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.6.013. Evaluate the limit using the appropriate properties of limits. (If an answer does not exist, enter DNE.) $\lim_{x \to \infty} \frac{2x^2 - 7}{5x^2 + x - 3}$ DNE Need Help? Read It Watch It 5. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET8 2.6.017. Find the limit, if it exists. (If an answer does not exist, enter DNE.) $\lim_{x \to \infty} \frac{x - 9}{x^2 + 6}$ DNE Need Help? Read It Watch It

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Use Mason's law to find the numerical value of the transformation function of the following flowchart -2 1 3 1 1 R C

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