Numerade

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A shere of radius a and mass m is on top of another sphere of radius b the frist sphere is moved slighty and starts rolling without slipping , Find the motion equation where I is the moment of inrtaia of the sphere equal I =2/5ma^5

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Create a case study of a person suffering from a severe persistent mental illness and associated health problems based on an actual or imagined person. Remember to exclude any identifying information if your case study is based on a real person. After describing your case, develop a multidisciplinary team to support your client. Identify the different members of the team and explain their role in addressing your client’s needs, with the social worker as the team leader. Interpret how you (as the social worker) may work with the team from various disciplines as the leader of the group. What challenges do you expect to encounter and how do you think you can overcome them? Be sure to examine the successful operation of your service delivery through your team.

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(a) Consider the following. $$y = 2\sin(3\pi x - \frac{\pi}{6})$$ Graph the function for two periods. Specify the intercepts and the asymptotes of the graph. (If an answer does not exist, enter DNE.) x-intercepts $$(x, y) = (-\frac{5}{18}, 0)$$ (smallest x-value) $$(x, y) = (\frac{1}{18}, 0)$$ $$(x, y) = (\frac{7}{18}, 0)$$ $$(x, y) = (\frac{13}{18}, 0)$$ $$(x, y) = (\frac{19}{18}, 0)$$ (largest x-value) y-intercept $$(x, y) = (0, -1)$$ vertical asymptote DNE horizontal asymptote DNE

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Suppose the U.S. Treasury offers to sell you a bond for $3,000. No payments will be made until the bond matures 10 years from now, at which time it will be redeemed for $4,100. What interest rate would you earn if you bought this bond at the offer price? Question 9 options: 2.38% 3.55% 3.17% 3.20% 3.27%

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How many different kinds of gametes can an individual with the genotype AaBbCCDdeeFf produce?

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The following equation corresponds to an exothermic reaction 2A(g) \implies B(g) + heat True False

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The moment of inertia of an object depends on which of the following factors? The angular acceleration of the object The total mass of the object Where the accelerating force is applied Whether friction is present in the rotation

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As per the 2023 Corruption Perceptions Index, which of the following is listed as one of the most corrupt nations/territories? Question 4 options: Luxembourg Somalia Qatar Bulgaria

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1. Let $X_1, X_2, \dots, X_n$ be a random sample from a distribution with mean $\mu$ and variance $\sigma^2$. a) Show that sample variance, $S^2$ is an unbiased estimator for $\sigma^2$ (Use alternative sample variance formula). b) Show that sample standard deviation S is a biased estimator for $\sigma$. (Write Var(S) and assume that S is an unbiased estimator, obtain a contradiction to show the biasedness of S)

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2) (10 pts) Is there a number $k$ such that $\lim_{x \to 3} \frac{4x^2 + kx - 6}{2x^2 - 9x + 9}$ exists? If so, find the value of $k$ and the value of the limit. 3) (10 pts) Find numbers $a$ and $b$ such that $\lim_{x \to 0} \frac{\sqrt{ax + b} - 1}{2x} = 1$. 4) (15 pts) Let $f(x) = \begin{cases} 5x - 2 & \text{if } x < -2 \\ a & \text{if } x = -2 \\ ax^2 + bx & \text{if } x > -2 \end{cases}$. Determine values of the constants $a$ and $b$, if possible, for which $f$ is continuous at $x = 2$. 5) (20 pts) Let $f(x) = \frac{2x^3 + x - 2}{x^2 - 2x}$ a) Find all asymptotes to the graph of the function $f(x)$ and discuss the behavior of the function about its asymptotes. b) Graph $f(x)$ including its asymptotes.

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ralph p.