Numerade

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In the following exercises 5-6, evaluate the integral using ar 5. $ \int_{-1}^{3}(3-|x|) d x $ 6. $ \int_{-2}^{2} \sqrt{4-x^{2}} d x $

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Astronomers believe the Moos used to be much closer to the Earth (mass=5.98 x 10^24 kg). When it was at 1.92 x 10^8m, half its current distance, what was it orbital speed?

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43,25,34,32,32,67,69,42,17,17,16,56,55,12,15,35,36,22,22,23,78,65,6819,20,47,47 ,15,13,9,53,52,45,45,20,81,79,48,34,33,34,35,67,69,24,24,23,36,35 What is the average age of the sampled individuals, and does it significantly differ from the population average age of 35 years?

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Which of the following statements is true of concentric muscle contractions? (CSLO 6) The force developed by the muscle is less than that of the resistance. Contractions cause movement against gravity or resistance. The body part remains stable against gravity or external forces when concentric muscles contract. Contractions result in the joint angle changing in the opposite direction of the applied muscle force.

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← Find the general solution of the given equation. y" - 2y' +6y=0 y(x) =

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Question 5: Consider the Shield's curve in Fig. 1. This curve is given on the (X; Y)-plane. a) Take 5 points on this curve and transfer them to the (?;Y)-plane (where ?=($\gamma_s D^3/\rho \nu^2$)^{1/3}). Using this new curve (on the (?;Y) -plane) you will be able to determine $Y_{cr}$ without trial and error. b) Draw the curve representing the relation $Y_{cr} = 0.13?^{-0.392}e^{-0.015?^2} + 0.045[1 - e^{-0.068?}]$ on the (?; Y) -plane. Can this curve be regarded as a reasonable approximation to the curve obtained in (a)? If \"yes\", you can use the relation above to compute $Y_{cr}$ avoiding the utilization of any curve altogether.

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Andre is a 7-year-old boy who scraped his knee after falling while riding his scooter. Andre's wound is severe enough that it is bleeding through the gauze bandage. Andre's blood is serving several functions to help his body deal with this injury. 1. One of the functions of blood is transportation. Describe why this function would be important as it pertains to Andre's injury. 2.Protection is an important function of blood. How is Andre's blood protecting him after his injury? 3.What is leukemia? If Andre had leukemia, how might this affect his ability to fight off infection?

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What is the coefficient for the sixth term of (2a+3b)$^7$? The following is the binomial theorem: $(a+b)^n = \sum_{k=0}^n C(n,k)a^{n-k}b^k$ $\bigcirc$ 10205 $a^6b$ $\bigcirc$ 20415 $\bigcirc$ 10206 $\bigcirc$ 10205 $\bigcirc$ 10206$a^6b$ $\bigcirc$ 20415$a^2b^5$ $\bigcirc$ 20412$a^2b^5$ $\bigcirc$ 20412 Question 9 Write the body of a recursive function to compute S(n) for the given sequence S S: 1, 1/3, 1/9, 1/27.... (hint: use if - then, else, end if block)

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3. 10mA + D3 V D1 D2 $I_{01} = 2I_{02} = 3I_{03}$ 3. a) For the circuit given above V = 1356,6 mV at T = 320K. Calculate saturation current of diodes and diode current and voltages. (Note T >300 K) b) With D? diode out and V = 1,4 V applied, what are the currents through D? and D3 as well as voltage drop on the remaining diodes? c) With the voltage applied in (b) reversed, what are the currents? (Note: diode body resistances can be neglected.) (20 points)

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1. A circle with a 12 inch diameter is folded in half and then folded in half again. What is the area of the resulting shape? 2. Find the area of the shaded region. Express your answer in terms of $\pi$. 3 in 18 in 6 in 9 in 12 in

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luke c.