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travis grimes

travis g.

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2. (40 pts. ) In class, we learned how to take small solutions from our toolbox, and combine them to solve larger problems. Assume you have the following building blocks in your toolbox, and no other operation or function not listed: • +,-,x, ÷ for scalars • if-else vector dot product vector addition and sub- • length, size, and zeros commands for matrices traction, 2+2=k • loops • matrix addition, A+B = C Using these tools, (a) Describe an algorithm to perform the integer multiple of a matrix. That is, given A compute something like 4A. Is this a tool that can be added to your toolbox? (b) Describe an algorithm to raise, a matrix, A to an integer power, i.e. compute something like 4° . Would this be a candidate for your toolbox?

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8 H PI (0. \( 4 \mathrm{ki3/2} \) Ein Finf 36 Stivil! (11) \( 00: 14: 42 \) 7 Marks Negative Marks \( -0.25 \) The average age of 7 members of a family is 32 years. What will be the average age of them after 4 years? 34 36 40 30 28

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n the U.S., what is the most common STI for individuals of ages 15-24?

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Find the mistake in the following process. Find the antiderivative for $\int \sqrt{4 - 9x^2} dx$. Step 1: $\int \sqrt{4 - 9x^2} dx = \int \sqrt{2^2 - (3x)^2} dx$ Step 2: Let $3x = 2 \sin \theta$, $\frac{3x}{2} = \sin \theta$ Step 3: $= \int \sqrt{2^2 - (2 \sin \theta)^2} dx = \int \sqrt{4 - 4 \sin^2 \theta} d\theta = \int \sqrt{4(1 - \sin^2 \theta)} d\theta$ Step 4: $= \int \sqrt{4 \cos^2 \theta} d\theta = \int 2 \cos \theta d\theta$ Step 5: $= 2 \sin \theta + C$ Step 6: $= 2 \cdot \frac{3x}{2} + C = 3x + C$

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Use the isNaN() function in validateForm() to verify the user id is a number. Display "Invalid user id" in the console log if the user id is not a number. Use the event method preventDefault() to avoid submitting the form when the input is invalid.

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Rewrite sec 65° in terms of its cofunction. sec 65° = (Type an exact answer. Simplify your answer. Type any angle measures in degrees. Do not include the degree symbol in your answer.)

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6. Use formal definitions to prove that $\sqrt{(n+1)^3} = \Omega(n\sqrt{n})$, hint $\sqrt{ab} = \sqrt{a}\sqrt{b}$ for any non-negative real numbers a and b.

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Curved arrows are used to illustrate the flow of electrons. Follow the arrows and draw the intermediate and the final product formed in this reaction. Include all lone-pairs. Ignore any inorganic byproducts.

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Question 7 0/1p Tuomas creates a spreadsheet with the days of the week across the top row, times in 15 minute intervals down the first column, and has his potential trainee track their activities for two weeks to determine whether they have sufficient resources available to begin supervision. Tuomas is having the trainee complete a Time Management Self Assessment Task Analysis Time Study Prioritization Matrix

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• Properties. Investigate the properties "in-place" and "stable" in the context of sorting algorithms. Which of the studied algorithms satisfies these properties? How would you modify those algorithms that do not meet them without sacrificing their big-O behavior? • Magic. Suppose you consult an oracle who can tell you the median of a list of integers in one step. How would you apply such a miraculous help to invent a new sorting algorithm? Would a "mean" fortune teller be as helpful?

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