Numerade

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b. Use the fact that $-1 \leq \sin(\theta) \leq 1$ to write a least algebraic upper bound for the absolute value of the integrand. $0 \leq \left| \frac{5 \sin(4x)}{x^2} \right| \leq 1 = g(x)$.

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How do you know that the cost curve, TC = Q3 - 12Q2 + 60Q, is for the long-run? Solve for LR price and quantity in a competitive market.

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How is iron primarily excreted from the body? Iron is excreted through urine as a waste product. Iron is eliminated through sweating and skin shedding. Iron is not actively excreted; it is regulated through the absorption process in the intestines Iron is expelled from the body via bile in the liver.

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During electron transfer, which ions accumulate in the outer compartment of the mitochondria? oxygen hydrogen phosphorus sodium

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For which value(s) of $ a $ will the matrix $ A=\left[\begin{array}{cc}2 & a \\ -a & 1\end{array}\right] $ be orthogonally diagonalizable? A. $ a=1 $ B. $ a \neq 1 $ C. None of the othor options. D. $ a \neq 2 $ E. For all values of $ a $. $ \mathrm{F}, a=0 $ G. For no values of $ a $.

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Find the exact value of the expression.\\ $\tan\left[\frac{\pi}{6} + \sin^{-1}\frac{-14}{5}\right]$ \\ $\tan\left[\frac{\pi}{6} + \sin^{-1}\frac{-14}{5}\right] = \square$ \\ (Type an exact answer. Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)

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Consider a three-year annuity which pays 100 AUD every year. The market interest rate is 10%. Calculate the duration of the annuity. Select one: a. 194 b. 1.94 c. 364 d. 3.64 e. None of the other answers is correct.

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$\sum_{1}^{10} 3n - 9$

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29-37 Determine the infinite limit. 29. $\lim_{x \to -3^+} \frac{x+2}{x+3}$ 30. $\lim_{x \to -3^-} \frac{x+2}{x+3}$ 31. $\lim_{x \to 1^-} \frac{2-x}{(x-1)^2}$ 32. $\lim_{x \to 0} \frac{x-1}{x^2(x+2)}$ 33. $\lim_{x \to 2^-} \frac{x-1}{x^2(x+2)}$ 34. $\lim_{x \to \pi^-} \cot x$ 35. $\lim_{x \to 2\pi^-} x \csc x$ 36. $\lim_{x \to 2} \frac{x^2 - 2x}{x^2 - 4x + 4}$ 37. $\lim_{x \to 2} \frac{x^2 - 2x - 8}{x^2 - 5x + 6}$

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3) A certain machine of mass 400 kg has a shaft that rotates at 1800 rpm. It is known that the machine shows resonance at 1200 rpm. An absorber is to be mounted on top of the machine so that the amplitude of its vibration response with the absorber mounted, within the range 1000-2000 rpm, is less than 50% of its static response measured without the absorber. Here, by static response, we mean the response if the magnitude of the dynamic force were applied statically. Design the absorber. That is find suitable values of absorber mass and stiffness. Hint: Firstly, aim to reduce the amplitude at one frequency, then check the situation at the other frequency. Do this until you find a solution. If you do not think that there is a solution, state it with an acceptable arguments.

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kristina r.