Numerade

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Which type of flexibility is related to the capacity to reach and maintain an extended position in a joints range of motion?

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under what circumstance should an author's initials and last name be included with a citation in the body of the text?

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Use properties of logarithms to condense the logarithmic expression below. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.\ log y + 4 log z\ log y + 4 log z =

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Find the intervals on which the function is continuous. y = \frac{x+2}{x^2 - 15x + 56} discontinuous only when x = -7 or x = 8 discontinuous only when x = -8 or x = 7 discontinuous only when x = 7 or x = 8 discontinuous only when x = 7

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Time (s) Height (m) 0 1.0 0.5 4.5 1.0 6.0 1.5 4.5 2.0 1.0 (2) The height, at a given time, of a child above the ground when the child is on a trampoline is shown in the table. Determine an algebraic model for the data. Then use the model to predict when the child will reach a height of 3 m.

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A train is moving East with a constant speed of $V_T = 40$ kph. Meanwhile, a man walks in the west direction on top of the train at speed of $V_{M/T} = 10$ kph relative to the train. He accelerates uniformly at a rate of $a_M = 5 m/s^2$. At this same instant, Car C starts to round a curve at A with an initial speed of $(V_C)_A = 60$ kph. After $t = 2.EFG$ s, the car reaches point B of the curve where it has uniformly reduced its speed to $(V_C)_B = 50$ kph. Determine the velocity (in kph) and acceleration (in $m/s^2$) of the man relative to the car at $t = 2.EFG$ s.

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The "more is preferred to less" axiom is represented as a shift to a higher curve on an indifference map, when assuming that your options are goods that are goods. Show an indifference map for two goods that are bads, Illustrate on the map and explain the optimization process.

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Answer the following questions by explaining which program you can use to solve each question, how you prepare the arguments for the program and what is command to use. Q1: Consider the following set of equations. \begin{align*} 10x_1 - x_2 + 2x_3 &= 6 \ -x_1 + 11x_2 - x_3 + 3x_4 &= 25 \ 2x_1 - x_2 + 10x_3 - x_4 &= -11 \ 3x_2 - x_3 + 8x_4 &= 15 \end{align*} Explain which program (Iterative Method) you can use for solving the above system. Use a precision of $10^{-4}$ and start with $x^{(0)} = (0,0,0,0)$ A) Newton Method B) Gauss Elimination C) Gauss-Seidel Method D) Bisection

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8. In order to simulate weightlessness for astronauts in training, they are flown in a vertical circle. If the passengers are to experience weightlessness, how fast should an airplane be moving at the top of a vertical circle with a radius of 2.5 km? a) $160 \frac{m}{s}$ b) $79 \frac{m}{s}$ c) $510 \frac{m}{s}$ d) $310 \frac{m}{s}$ e) $260 \frac{m}{s}$ 9. A 25.5 kg box is released on a 28° incline and accelerates down the incline at 0.26 $\frac{m}{s^2}$. Find the friction force impeding its motion. a) 122N b) 85N c) 111N d) 243N e) 160N

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david m.