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If a rocket is fired vertically into the air with a speed of 240 feet per second, its height at time $t$ seconds is given by $h = -16t^2 + 240t$. At what time(s) will the rocket be the following number of feet above ground? a. 704 feet seconds b. 864 feet seconds c. How long will the rocket be in the air? (Hint: How high is it when it hits the ground?) seconds

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Question 4 10 pts 4. A circular disc X of radius R is made from an iron plate of thickness t, and another disc Y of radius 4R is made from an iron plate of thickness t/4. Then the relation between the moment of inertia $I_x$ and $I_y$ is: O $I_y = 64I_x$ O $I_y = 32I_x$ O $I_y = 16I_x$ O $I_y = I_x$

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C.5. (10 pts, Text p.68, Problem 2.6). Given that the area of a triangle with corners at $(x_1, y_1)$, $(x_2, y_2)$ and $(x_3, y_3)$ can be written in the form $\text{Area} = \frac{1}{2} \text{det} \begin{bmatrix} 1 & x_1 & y_1 \\ 1 & x_2 & y_2 \\ 1 & x_3 & y_3 \end{bmatrix}$ determine the area of the triangle with corners at (1, 1), (4, 2), and (2, 4).

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Which group of people typically use limited liability partnerships? Group of answer choices Business executives and CEOs of companies Professionals such as doctors, lawyers, accountants and engineers Family businesses Restaurants

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List four ways that monogenic diseases differ from other types of diseases

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The rate (in mg carbon/m³/h) at which photosynthesis takes place for a species of phytoplankton is modeled by the function $P = \frac{80I}{I^2 + I + 1}$ where $I$ is the light intensity (measured in thousands of foot-candles). For what light intensity is $P$ a maximum? $I = $ thousand foot-candles

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The mass of a section of pipe depends on its length. If the graph continues in the same way, how long is a section of pipe with a mass of $ 120 \mathrm{~kg} $ ? Mass against length of a section of pipe

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On December 31, Jarden Company's Allowance for Doubtful Accounts has an unadjusted credit balance of $16,500. Jarden prepares a schedule of its December 31 accounts receivable by age. Accounts Receivable Age of Accounts Receivable Expected Percent Uncollectible $ 860,000 Not yet due 1.25% 344,000 1 to 30 days past due 2.00 68,800 31 to 60 days past due 6.50 34,400 61 to 90 days past due 32.75 13,760 Over 90 days past due 68.00 2. Prepare the adjusting entry to record bad debts expense at December 31. Note: Round percentage answers to nearest whole percent. Do not round Intermedlete calculations. View transaction list Journal entry worksheet < 1 Record the estimated bad debts. Note: Enter debits before credits. Date December 31 General Journal Debit Credit >

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Use the following equation for problems 21) through 23). $I = \int_{-2}^{4} \cos(0.5x) dx$ 21) (3 points) Use the Multiple Application of the Trapezoid Rule with n=3 to evaluate the integral above. The estimate of the integral is... a. 2.20 b. 2.35 c. 2.52 d. 2.79 e. None of the above (actual answer is 3.20) 22) (3 points) Use Simpson's Rule Integration to evaluate the previous integral with an individual increment step size of 2. What does this estimation of the integral equal? a. 3.427 b. 3.468 c. 3.559 d. 3.672 e. None of the above 23) (5 points) Use the Three-Point Gauss Quadrature equation to solve the integral above. What would your estimate of the integral be? a. 3.452 b. 3.503 c. 3.572 d. 3.664 e. None of the above.

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A separately excited DC machine is modelled using: $v_a = i_a R_a + L_a \frac{di_a}{dt} + e$ $T_e = T_L = k_t \psi i_a = J \frac{d\omega_r}{dt}$ $e = k_e \psi \omega_r$ Assuming that the flux ($\psi$) is a constant, convert the above equations to the s-domain and develop the transfer function in the form: $sJV_a(s) = ...$

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eduardo w.