Numerade

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4. Sea $z = \sin x \cos y$. Suponga que $x = \sqrt{t}$ y que $y = \frac{1}{t}$. Calcule $\frac{dz}{dt}$ usando la regla de la cadena discutida en la sección 14.5:

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Which of the following statements about natural selection is true? Choose all that applies. Natural selection acts on phenotypes, not genotypes. Natural selection is not forward looking (goal seeking)

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Question 1 Which of the following best describes the Haber-Bosch Process? A Artificial fixing of atmospheric nitrogen under extreme heat and pressure to create liquid ammonia. B Artificial fixing of atmospheric oxygen under extreme heat and pressure to created liquid ammonia. C Artificial fixing of atmospheric phosphorus under extreme heat and pressure to create liquid ammonia. D Artificial fixing of atmospheric nitrogen under low heat and pressure to create liquid ammonia. 10 Poin

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Which of the following components of fitness does handgrip dynamometry predict? Coordination Cardiorespiratory fitness Muscular endurance Muscular strength

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15. H H Matching exercise.Answers used once only The shape of a water molecule ls: [Choose] What type of intermolecular force is present in a water molecule? [Choose] Select one:Water is a Anon polar B polar molecule [ Choose]

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A) Write a python program to choose the first root node for a regression tree using the CART algorithm as explained in class from the following dataset: B) Do the calculation in Excel to verify that your program has indeed chosen the best attribute according to the SDR metric. show your work. I only need help with part B # hours to bike (Numeric) Temperature Humidity Wind Weather Speed Condition Cool High Breezy Sunny 13 Warm Moderate Gentle Sunny 12 Cold High Windy Rainy 20 Mild High Calm Cloudy 9 Hot Moderate Strong Rainy 23 Warm High Moderate Cloudy 5 Very Cold Very Light Rainy 6 High Mild High Breezy Sunny 3 Cool High Windy Sunny 10 Mild Very Light Cloudy 3 High

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6. Sketch by hand: f(x) = -2x³ + 26x - 24, including the full algebraic calculations of the following. You may use Calculus for this question. Round to 2 decimal places where required. a) x & y-intercepts (Do NOT use guess & check for all x-intercepts) [3] b) relative maxima and minima [5] c) points of inflection [2]

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4. Consider the stationary states for the harmonic oscillator $|n\rangle = \frac{1}{\sqrt{n!}}a^{\dagger}|0\rangle$ (Equation 2.68 in the textbook). a. Find the matrix elements \langle n|x|n'\rangle and \langle n|p|n'\rangle in the orthonormal basis of these states. Hint: In problem 2.12 from your homework you calculated the diagonal elements ($n = n'$). Use the same technique for the general case. (12 points) b. Construct the corresponding infinite matrices $X$ and $P$ and show that the matrix representing the Hamiltonian: $\frac{1}{2m}P^2 + \frac{m\omega^2}{2}X^2 = H$ is diagonal. What are the diagonal elements of $H$? (13 points)

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7. Consider: $x = t^2 + 1$ and $y = t^2 - t$ on the interval $-2 \le t \le 2$ a. Use a table of values to sketch the graph, indicating orientation: (5) \begin{tabular}{|c|c|c|} \hline t & x & y \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline & & \\ \hline \end{tabular} b. What is the slope of the tangent line to the curve when $t = 1$? (5) c. Find the equation of the tangent line to the curve when $t = 1$. (3)

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Tom just received a Visa credit card with an 18% per year compounded monthly interest rate. He plans to use the card starting next month, spending at a rate of $1,000 per month and paying none of the balance or accrued interest. One month after he stops spending, Tom is willing to start payments of interest only on the total credit card balance at the rate of $500 per month for the rest of his life. Use the capitalized worth method to determine how many months Tom can spend before he must start making the $500 per month payments. Assume the payments can be made for many months, i.e., forever, and the credit card has a sufficiently high spending limit.

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anthony a.