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heather thomas

heather t.

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1. (a) What is the coefficient of $x^4y^{15}$ in the expansion of $(5x^2 -2y^3)^7$? (b) What is the coefficient of $x_1^9x_2^3x_3^6x_4^7$ in the expansion of $(x_1 - 2x_2 + 3x_3 - 4x_4)^{25}$?

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An air-plane has an effective wing surface area of 12.0 m^2 that is generating the lift force

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43) \int \sin 8x \cos 5x \, dx

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8 (a) Find an orthogonal matrix $P$ and a diagonal matrix $D$ such that $D = P^{-1}AP$, where $\begin{aligned} A = \begin{bmatrix} 2 & 1 & 2 \\ 1 & 2 & 2 \\ 2 & 2 & 5 \end{bmatrix} \end{aligned}$ (b) Use Descartes' rule of signs to determine whether the matrix $A$ is positive definite, positive semidefinite, or neither. (c) Perform a change of variables so that the quadratic form $f(x, y) = 3x^2 - 2xy + 3y^2$ becomes diagonal. (d) Sketch the curve given by the equation $3x^2 + 4xy + 6y^2 = 1$. (e) Compute the complex dot product in $C^2$ for the vectors $\begin{bmatrix} 1 \\ i \end{bmatrix}$ and $\begin{bmatrix} 1 + i \\ 0 \end{bmatrix}$.

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A nurse is preparing to administer 5% dextrose in 0.45% sodium chloride 1,000 mL IV to infuse over 12 hr. The nurse should set the IV pump to deliver how many mL/hr? (Round the answer to the nearest whole number. Use a leading zero if it applies. Do not use a trailing zero.)

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Cooper Section 12.1 #2 What are the amplitude, frequency, and period of the following? a. 9 sin(4t) Amplitude = Frequency = Period = a. 5 sin(4t) Amplitude = Frequency = Period = a. -4 sin(3?t) Amplitude = Frequency = Period =

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What do you conclude about lim sin (1/x)? Choose the correct answer below.

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Assignment Brief Following on fromthe Design Specification created in Assignment 1; Create technical solutions to meet the customer brief, and propose a final design. To pass this assignment, you must: 1) Use of concept sketches and ideas 2) Propose at least 3 possible design solutions 3) Use of decision making tools to help develop solutions, and derive the preferred final design solution I To obtain a merit, you must pass the above and show that you can Use appropriate engineering software to create 3D models of design solution ideas/concepts To obtain a distinction, you must pass the above and: Critically compare and provide justification for your chosen final design solution Submission Format: A written evaluation to include three potential design solutions with evidence of the use of engineering drawings or sketches. Concept sketches should outline specific components of the design and how you have derived each solution. Within your report you should use of decision making tools to help develop solutions, and derive the preferred final design solution To achieve a Merit, the submission should also: Demonstrate the use of 3D modelling to design or test some of the proposed design solutions. This can take the form at of screenshots of your 3D designs with comments and explanations. To achieve a Distinction, the submission should also: Use appropriate decision making tools to critically compare and provide justification for your chosen final design solution.

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Q#1 to 9 are about the clinic database. Please write a SQL query for each question. Patient PK PatientID COUNTER LastName TEXT (50) FirstName TEXT (50) U1 DOB DATETIME SSN TEXT (11) Visit PK VisitID COUNTER PK, FK1 VisitDate PatientID DATETIME Department LONG Symptoms TEXT (50) LONGTEXT 8. Write a single query to delete records of patients who are younger than 2. 9. Write a single query to change the name of "Emergency" department to "Accident and Emergency". please answer 8 and 9

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A Pew Research Center survey (Pew Research website) examined the use of social media platforms in the United States. The survey found that there is a 0.53 probability that a randomly selected American will use Instagram and a 0.34 probability that a randomly selected American will use Linkedin. In addition, there is a 0.26 probability that a randomly selected American will use both Instagram and Linkedin. What is the probability that a randomly selected person will use Instagram or Linkedin (to 2 decimals)? What is the probability that a randomly selected person will not use either social media platform (to 2 decimals)?

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