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andrew pinto

andrew p.

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The average counting rate of a radioactive sample is 486 cpm

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Determine the following limit, if it exists: \( 1 / 2 \) \[ \lim _{x \rightarrow 2}\left(\frac{1}{x-2}-\frac{4}{x^{2}-4}\right) \] \( 1 / 4 \) 4 does not exist

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first determine whether this statement is correct or not. If correct, could you elaborate and flesh this out with support of quotations from Marx's work / citation, if not, please provide explanation with support of quotations: although Marx contended that economic development (base) determines the legal framework (superstructure), he didn’t provide a clear and systematic explanation of the law’s reciprocal effect on economic development and its mechanism (how law affect economic development). This demonstrates the oversimplistic nature of Marx’s legal theory, which contrasts sharply with Weber’s nuanced analysis.

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Submit Answer -/1 Points] DETAILS MY NOTES SPRECALC8 6.1.083. The top and bottom ends of a windshield wiper blade are 22 in. and 12 in., respectively, from the pivot point, as shown in the following figure. 12 in. 135° 22 in. ? While in operation, the wiper sweeps through 135°. Find the area swept by the blade (in inches²). (Round your answer to the nearest whole number.) in² Need Help? Read I Submit Answer

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Platelets appear as small fragments in a blood smear. Responses True True False

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A ball of mass 500 grams moving towards the right with a speed of \( 4 \mathrm{~ms}^{-1} \) collides with a 300 grams ball at rest. The collision is perfectly elastic. Determine the velocity of each ball after collision.

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Suppose that X and Y have joint pdf $f(x,y) = \begin{cases} 8xy & 0 < y < x < 1 \\ 0 & \text{otherwise} \end{cases}$ a. Find P(X ? 0.5 | Y = 0.65). b. Find P(X ? 0.5 | Y ? 0.65).

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4. Random thermal motion of electrons in a resistor R causes a random voltage across its terminals. This voltage $n(t)$ is known as the thermal noise. Its power spectral density is practically flat over a very large band (up to 1000 GHz at room temperature) and is given by: $S_n(f) = 2kTR$. where $k$ is the Boltzmann constant ($1.38 \times 10^{-23}$) and $T$ is the temperature in Kelvin units. A resistor R at room temperature $T^oK$ can be represented by a noiseless resistor R in series with a random white-noise voltage source (thermal noise) of power spectral density $2kTR$ as shown in Figure 1 below. R R R $S_n(f) = 2kTR$ (a) (b) (c) Figure -1 a. Determine the output spectral density of thermal noise ($S_{no}(f)$). (5 points). b. Calculate the mean square value of the noise at the output of circuit. (5 points).

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Take the Laplace transform of the following initial value and solve for $Y(s) = mathcal{L}{y(t)}$: $y'' + y = egin{cases} sin(pi t), & 0 < t < 1 \ 0, & 1 le t end{cases}$ $y(0) = 0$, $y'(0) = 0$ $Y(s) = Box$. Hint: write the right hand side in terms of the Heaviside function. Now find the inverse transform: $y(t) = Box$ Note: $frac{pi}{(s^2 + pi^2)(s^2 + 1)} = frac{pi}{pi^2 - 1} left(frac{1}{s^2 + 1} - frac{1}{s^2 + pi^2} ight)$ (Notation: write $u(t - c)$ for the Heaviside step function $u_c(t)$ with step at $t = c$.)

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Place the structures below in the order that substances would travel on their way through the digestive tract (from proximal to distal) beginning with the ileum. Ascending colon Cecum Descending colon Ileocecal valve Ileum Rectum Sigmoid colon Transverse colon

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