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patrick allen

patrick a.

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The following questions are in regard to the situation where you press an apple crate against a wall so hard that the crate cannot slide down the wall. Your answer is correct. What is the direction of the static frictional force $\vec{f}_s$ on the crate from the wall?

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Consider a linear regression model where y represents the response variable and d1 and d2 represent two dummy variables. The model is estimated as ŷ = −2.85 + 2.04x + 3.10d1 − 2.33d2 + 0.82d1d2. Compute ŷ for x = 3, d1 = 1, and d2 = 0.

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Price Quantity TR TC MR MC Profit $10 1 $2 $8 2 $4 $6 3 $6 $4 4 $8 $2 5 $10

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\[ f(x)=5 \sin x+5 \cos x, \quad \text { on }(-\pi, \pi) \] a) Determine the intervals on which \( f \) is concave up and concave down. \( f \) is concave up on: \( \square \) \( f \) is concave down on: \( \square \)

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Solve the given differential equation by separation of variabl y ln(x)\frac{dx}{dy} = \left(\frac{y+1}{x}\right)^2 ln(y+1) - \frac{1}{y+1}ln(ln(x)) + C

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A three phase distribution transformer bank is connected as shown in the figure: Primary Voltage: 13,200/7,620 V Secondary Voltage: 240 V open Y - open ? Calculate the respective current shown in the figure.

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The 1965 Immigration Act removed what as the basis of American immigration legislation? Racial discrimination National origins National security Human rights Skin colors

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7) A 1.15 m long pendulum (mass attached to a string) goes into simple harmonic motion when it is displaced through +10 degrees from equilibrium and released. (a) Calculate the angular frequency and time period of the pendulum. (b) Write expressions for position, velocity and acceleration of the pendulum SIIM. (c) Find the position, velocity and acceleration of the mass at $t = 10$ s after release.

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Bobby-Sue will live only two years. She has two career choices. In the first she would earn $100 in year one and $440 in year two. In the second career, she would earn $410 in year one and $110 in year two. She can borrow or save at the same interest rate is 10% (i=10). If the careers are otherwise identical, which does she choose? Show with a graph of her budget lines showing how (formula) you derive the intercepts (endpoints). a. (3) Devon has demand of $Q(p) = 5000 - 1000 \cdot P$. Currently $p = 3$. Graph the demand below, including end-points and the quantity demanded. b. (5) The price increases to $4. Using consumer surplus analysis, derive (a dollar amount) how much she is harmed or benefits by this. Points for showing how you got the answer.

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\frac{4^3 \times 5^6 \times 7^8}{4^2 \times 5^5 \times 7^8}

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