Numerade

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A rod of length 0.5 m rests in the corner of a stationary x-y coordinate system. End A of the bar slides along the x-axis at a constant rate of 0.2 m/s. Find the velocity (vector) and acceleration (vector) of midpoint P of the rod when end A is 0.3 m from the wall (x = 0.3m)

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Why is it important to repeat scientific investigations? Multiple select question. To ensure that all research funds for a project are spent To confirm the original researchers' conclusions To achieve greater acceptability among other scientists

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Hot ions enter a mass spectrometer with a wide variety of speeds, moving rightward on the page, but each ion has charge +1e, regardless of their mass. Stage 1 in the mass spec has a –120 mT (↓) magnetic field, and an Electric field which is set so that the total (Electric + Magnetic) Force to an ion with speed 150 km/s is zero. { a) What magnetic Force does Lorenz say is applied to ions with this speed? (vector direction!) } b) adjust the Electric field to cancel that magnetic force (vector direction!) a. we need to know the radius to determine the Electric Field b. 18E6 N/C (⊗ , into page) c. –18 000 N/C (⊗ , into page) d. 18 000 N/C (☉ , out of page) e. –1.25E6 N/C (← , leftward) f. 8.0E–7 N/C (↑ , upward) g. some answer that is much different than any of these others h. 18 N/C (☉ , out of page)

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Match the error message with the formula that created the error message. The column is not wide enough to display the number; for example, you wish to display 1,234,567,890,123 [Choose] Your formula divides by zero; for example, cell A4 [Choose] contains the value zero, and your formula is = 8 / A4 Excel does not recognize something you have typed; for example, you type =AVG(A2:A6) instead of =AVERAGE(A2:A6) [Choose] You type a formula that requires numbers, but your cells contain text values; for example: A6 contains the words \"2 grams\" and your formula is = A6 + 5 [Choose] You have made an invalid reference; for example, you type=(A7)(B8) and you are missing the multiplication sign = (A7) * (B8) [Choose]

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Question 2 (20 points) If A and B are 3 × 3 such that det A = 3 and det B = 2, Find, if possible, the value of det($A^2 B^{-3}$).

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N 1 N E[x_kx_k-n] = \sum_{k=1}^N \sin \frac{2\pi k}{N} \sin \frac{2\pi (k - n)}{N} = 0.5 \cos \frac{2\pi n}{N}; \qquad n = 0, 1 \qquad (2.20) E[d_kx_k-n] = \frac{2}{N} \sum_{k=1}^N \cos \frac{2\pi k}{N} \sin \frac{2\pi (k - n)}{N} = -\sin \frac{2\pi n}{N}; \qquad n = 0, 1 \qquad (2.21) Suppose that each waveform is sampled at t = 0, T, 2T,..., such that there are exactly N samples per cycle in the first two cases, and N/2 samples per cycle in the third case. If a sample is taken where f(t) is discontinuous, give it the value just to the right of the discontinuity. Find E[u_ku_k-n]. Find E[u_kx_k-n].

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Given a vector field $\vec{A} = x\hat{x} + y\hat{y} + z\hat{z}$. Consider the disk S defined by $z = 0$ and $x^2 + y^2 < 25$. We want to compute the surface integral of $\vec{A}$ over the disk: $\int_S \vec{A} \cdot d\vec{s}$. (a) Find the differential surface vector $d\vec{s}$ for the disk. (b) Find dot product: $\vec{A} \cdot d\vec{s}$. (c) Integrate. (d) Solve the problem by putting it in a cylindrical coordinate system.

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Hess's Law Given the following data: Cl$_2$(g) + 5F$_2$(g) $\rightarrow$ 2CIF$_5$(g) ?H$^\circ$= -510.0 kJ CIF$_3$(g) + Cl$_2$(g) $\rightarrow$ 3CIF(g) ?H$^\circ$= -5.5 kJ 2NaCl(s) + F$_2$(g) $\rightarrow$ 2NaF(s) + Cl$_2$(g) ?H$^\circ$= -316.0 kJ NaCl(s) + F$_2$(g) $\rightarrow$ NaF(s) + CIF(g) ?H$^\circ$= -214.5 kJ calculate ?H$^\circ$ for the reaction: CIF$_3$(g) + F$_2$(g) $\rightarrow$ CIF$_5$(g) ?H$^\circ$=

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Question 3 [5 points] (Perceptron) Give a perceptron for the following boolean function: $x_1 x_2 \overline{x_3}$

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Determine the forces in members FH, FG, and DG in the following truss structure. 15 ft 15 ft 15 ft 5 kips 5 kips 9 kips A D G J 8ft C F I K B E H

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james c.