Numerade

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4. Two blocks $ A $ and $ B $, each having a mass of 6 kg , are connected by the linkage shown. If the coefficient of static friction at the contacting surfaces is $ \mu_{\mathrm{s}}=0.5 $, determine the largest vertical force P that can be applied to pin C without causing the blocks to move. Neglect the weight of the links.

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Alicia’s composition class just finished learning how to write research papers. Rather than assigning each student to write a paper on the same topic, her classroom teacher assigns each student to write a paper on a topic of their choosing. This illustrates multiple means of ______. representation engagement expression accommodation

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The equation 8=m+5 is solved by Select... vv from both sides of the equation. The solution is Select... vv.

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It is important to know whether these approximations are accurate. Fortunately, there is a known **error bound** for each of the approximation rules that tells us how close our approximation must be to the true value of the integral. The **error** is defined as the difference between the value of the integral and the approximation. For example, the error in the trapezoidal rule approximation, which we write as Error($T_n$), is $\int_a^b f(x) dx - T_n$. A bound on the error is given as: Error($T_n$) ≤ $\frac{K_2(b-a)^3}{12n^2}$ where $|f''(x)| ≤ K_2$ for $a ≤ x ≤ b$. 7. Use the above error bound given above to determine how close our $T_6$ approximation from Problem 4 is guaranteed to be to the actual value of the integral. Hint: To find $K_2$, find the maximum value of the absolute value of the second derivative of the function on the given interval. You may use Desmos or another online plotting system to help you. You can (BUT DO NOT NEED TO) do the same for $M_6$ from Problem 5 using the error bound for the midpoint rule below. $\int_a^b f(x) dx - M_n$ = Error($M_n$) ≤ $\frac{K_2(b-a)^3}{24n^2}$ where $|f''(x)| ≤ K_2$ for $a ≤ x ≤ b$. You could also use the error bound below to determine how close $S_{12}$ is guaranteed to be to the actual value of the integral (BUT DO NOT NEED TO). (Note that $|d^4/dx^4 e^{-x^2}| ≤ 8$ for $1 ≤ x ≤ 3$.) $\int_a^b f(x) dx - S_n$ = Error($S_n$) ≤ $\frac{K_1(b-a)^5}{180n^4}$ where $|f^{(4)}(x)| ≤ K_1$ for $a ≤ x ≤ b$. 8. How big would n have to be so that the trapezoidal rule approximation $T_n$ for the integral $\int_1^3 e^{-x^2} dx$ is within .0001 of the actual value? (Hint: Substitute the values of $K_2$, a, and b you used in Problem 8 into the inequality $\frac{K_2(b-a)^3}{12n^2}$ ≤ .0001 and then solve the inequality for n.)

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Question 22 Price elasticity of demand along a linear, downward-sloping demand curve increases as price falls. A) True B) False

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9. Does temperature compensation occur at the cellular and tissue level?

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I just wanted to know if these answers are right, if they are wrong can you please correct me? Thank you. Problem 1: You are interested in quantifying how much alcohol undergraduate students in the United States generally drink. To address this, you survey a class of 30 students taking Psych 210 on how much they generally drink in one week. Questions to answer: 1. What is the variable of interest in this study? - Alcoholic drinks consumed 2. Is the variable you used discrete or continuous? - Discrete 3. What type of measurement scale is the researcher using to define the number of drinks used (nominal, ordinal, interval, or ratio)? - Ordinal

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3.29 For the simple linear regression model (i.e. only one predictor) show that the elements of the hat matrix, H, can be written as \begin{equation*} h_{ij} = \frac{1}{n} + \frac{(x_i - \bar{x})(x_j - \bar{x})}{S_{xx}} \end{equation*} for all $i, j = 1, ..., n$. Derive the result.

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5. If the analog signal is in the form of: x(t) = 3 cos(1000\pi t - 0.1\pi) - 2 cos(1500\pi t + 0.6\pi) + 5 cos(2500\pi t + 0.2\pi). Determine how fast the signal should be sampled to avoid aliasing. 6. A biosignal has a minimum voltage of -20 mV and a maximum voltage of +85 mV. What is the resolution of an eight-bit A/D conversion process?

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10. Anna is single, and she files taxes based on a taxable income of $90,000. Given the tax bracket shown below, her tax bill is closest to Single Taxable Income Tax Rate $0 - $9,525 10% of taxable income $9,526 - $38,700 $952.50 plus 12% of the amount over $9,525 $38,701 - $82,500 $4,453.50 plus 22% of the amount over $38,700 $82,501 - $157,500 $14,089.50 plus 24% of the amount over $82,500 $157,501 - $200,000 $32,089.50 plus 32% of the amount over $157,500 $200,001 - $500,000 $45,689.50 plus 35% of the amount over $200,000 $500,001 or more $150,689.50 plus 37% of the amount over $500,000 a) $9,000 b) $10,610 c) $15,739 d) $21,600 e) $14,090 f) $15,890 g) $32,090

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nicol-s s.