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bethany baker

bethany b.

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Evaluate the indefinite integral: $$\int \frac{dx}{|x|\sqrt{9x^2-1}} = 3 \operatorname{arcsec}(3x) + C$$

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Consider the intermolecular forces present in a pure sample of each of the following compounds: CH₃CH₂CH₂CH₃ and CH₃CH₂CH₂NH₂. Identify the intermolecular forces that these compounds have in common.

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Market research is an exact science and provides specific, accurate information about how people behave by analyzing the different influences in their lives. False True

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At cosmic distance, we say that the universe is isotropic and homogeneous. What does this mean?

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Datos: \( n=0.10 \mathrm{~m}^{-1}, a-0.30 \mathrm{~m}(30 \mathrm{~cm}), b=0.70 \mathrm{~m}(70 \mathrm{~cm}), \mathrm{Ta}-150 \) \( =10 \) watts \( / \mathrm{m} \cdot \mathrm{K} \) y \( \beta=0.1 \mathrm{~K}^{-1} \). Pregunta 2. En el análisis de pinturas, la medición de la viscosidad se realiza con un viscosímetro como el que se muestra en la figura. Un cilindro (radio: Ro, altura:h) está parcialmente sumergido en la pintura cuya viscosidad \( (\mu) \) es desconocida. Este cilindro es jalado aplicando una fuerza (F) y sale con una velocidad constante (Vo). a) Determinar la expresión para el cálculo de la viscosidad. b) Una nueva pintura requiere una fuerza (1.5F) para que el cilindro salga con una velocidad de \( 0.7 \mathrm{Vo} \). ¿Cuál es la expresión para calcular la viscosidad? (6p)

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Find $\lim_{x \to c^+} f(x)$ and $\lim_{x \to c^-} f(x)$ for the given function and value of c. $f(x) = (x + 6)\frac{|x + 2|}{x + 2}$, $c = -2$

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PROBLEM 3: A flat bar of width b = 60 mm and thickness t = 10 mm is loaded in tension by a force P. The bar is attached to a support by a pin of diameter d that passes through a hole of the same size in the bar. The allowable tensile stress on the net cross section of the bar is $sigma_T$ = 140 MPa, the allowable shear stress in the pin is $ au_S$ = 80 MPa, and the allowable bearing stress between the pin and the bar is $sigma_B$ = 200 MPa. (a) Determine the pin diameter $d_m$ for which the load P will be a maximum. Hints: 1. See Example 11 of the lecture slides on Stress, 2. Plot P versus d for all three failure modes. (b) Determine the corresponding value $P_{max}$ of the load. Ans.: $P_{max}$ = 49.4 kN extless{}

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Suppose the average Door Dash delivery time is normally distributed with a population standard deviation of σ = 5.5 minutes. A random sample of n = 36 restaurants is taken and has a sample mean delivery time of x = 40 minutes. Find a 95% confidence interval estimate for the population mean delivery time.

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Suppose that the mass in a mass-spring-dashpot system with m = 20, c = 13 and k = 2 is set in motion with x(0) = 0 and x'(0) = 8. (a) Find the position function x(t) and show that its graph looks as indicated in the figure. (b) Find how far the mass moves to the right before starting back toward the origin. (a) x(t) = (Type an exact answer.)

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Using the indicated slopes of lines $l_1$ and $l_2$, determine whether the lines are parallel, perpendicular, or neither. Assume that the lines are not the same. $m_1 = \frac{4}{7}, m_2 = -\frac{7}{4}$ Choose the correct answer below. Parallel Perpendicular Neither

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