Numerade

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Inserting BC; $ u(0)=0 $ We find that we must choose $ c_{1} $ such that \[ \int_{a_{1}}^{0} f(y) \sin k y d y=0 \Rightarrow c_{1}=0 \] Hence (4.2.6) reduces to \[ u(x)=\frac{\cos k x}{k} \int_{0}^{x} f(y) \sin k y d y-\frac{\sin k x}{k} \int_{c_{2}}^{x} f(y) \cos k y d y \] which imply we must choose $ c_{1}=0 $ Using second BC in (4.2.8) we have \[ \int_{c_{2}}^{l} f(y) \cos k y d y=\frac{\cos k l}{\sin k l} \int_{0}^{l} f(y) \sin k y d y \] After slight manipulation we can re write the above equation as \[ \begin{array}{l} \int_{c_{2}}^{0} f(y) \cos k y d y=\frac{1}{\sin k l} \int_{0}^{l} f(y)[\sin k y \cos k l-\cos k y \sin k l] d y \\ \quad \Rightarrow \int_{c_{2}}^{0} f(y) \cos k y d y=\frac{1}{\sin k l} \int_{0}^{l} f(y)[\sin k(y-l)] d y \end{array} \] $ \therefore $ Solution can now be written in the form \[ \begin{aligned} u(x)= & \frac{\cos k x}{k} \int_{0}^{x} f(y) \sin k y d y-\frac{\sin k x}{k} \int_{0}^{x} f(y) \cos k y d y \\ & -\frac{\sin k x}{k \sin k l} \int_{0}^{l} f(y) \sin k(y-l) d y \end{aligned} \]

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Which is not a required characteristic for a liability to be recognized? Transfer Service potential Incurred Nonavoidable

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Based on the previous information, calculate the incidence per 1,000 per year of cardiovascular events among those who were categorized as physically active.

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special type of simple epithelium that gives a false appearance of multiple cell layers

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Find the domain of the function. h(x) = 2 - 9log₇[(x/9) - 5] Question content area bottom Part 1 The domain of h is enter your response here. (Type your answer in interval notation.)

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Comparing the health care system of the U.S. with those of other industrialized countries, the text notes that Group of answer choices the U.S. spends more money and coverage is less comprehensive than in other industrialized countries. the U.S. has the indisputably best health care delivery system among industrialized countries. it is not possible to provide health coverage for the majority of the population for less than 13% of the gross domestic product. the U.S. leads in cost-efficient management of health care.

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Select the description and the sketch of the domain of the function.\\ $f(x, y) = \frac{3xy}{(y - x^2)}$

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5. 5% of a certain type of fuse fail immediately when put into use. a. Randomly select 30 fuses and check if they fail immediately. Define the random variable associated with this experiment, name it, and then list its possible values. r. v. = values = b. Find the mean and standard deviation of the above random variable.

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a charge of -3.26 uC is fixed in place. From a horizontal distance of 0.0588 m, a particle of mass 7.22*10^-3 kg and charge -9.25 uC is fired with an initial speed of 66.4 m/s directly toward the fixed charge. How far does the particle travel before its speed is zero?

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The free energy of formation of nitric oxide, NO, at 1000 K (roughly the temperature in an automobile engine during ignition) is about 74 kJ/mol. Calculate the equilibrium constant $K_p$ for the reaction $N_2(g) + O_2(g) \rightleftharpoons 2NO(g)$ at this temperature. Provide the answer in scientific notation

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