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barbara davis

barbara d.

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You are using a 3 m lever to lift a rock with a mass of 85 KG the effort to lift the rock is the force with you push down on the other end of the lever the boat is 50 cm from the fulcrum and your force is 2.5 m from the full room what is the force in and must you applied to the end of your lever to lift the rock

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Question 9 of 15 | Page 9 of 15 Question 9 (2 points) Richard wants to have $114 150.00 in six years, seven months from now. How much would he have to invest right now to achieve his goal, if he is getting 7.6% compounded quarterly rate of return on his investment? a $53163.28 b $65492.23 c $69538.03 d $57813,11

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The region bounded by the given curves is rotated about the specified axis. Find the volume $V$ of the resulting solid by any method. $x = 1 - y^4$, $x = 0$; about the line $x = 5$ $V = $

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When Pu-239 produces an alpha particle, which new isotope is produced? Identify the correct isotope that is produced using the text boxes and pull-down menu provided below. (Click to select) (Click to select) U Cm Th Cf Pu

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4. a. Consider the line charge shown, of length $L$, with uniform charge density $\lambda$. Determine the electric field at location 1, a distance $d$ from the left end of the line.

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Assume A ? M<sub>n</sub>(?), and that \(\vec{x_1}, \vec{x_2} ? ?<sup>n</sup>\) are ?-eigenvectors, for eigenvalues ?<sub>1</sub>, ?<sub>2</sub> ? ? respectively. A student is trying to prove that if ?<sub>1</sub> ? ?<sub>2</sub> then \(\vec{x_1}, \vec{x_2}\) is a linearly independent sequence in ?<sup>n</sup>, and wWrites the following: Assume we have a<sub>1</sub>, a<sub>2</sub> ? ?, and a<sub>1</sub>\(\vec{x_1}\) + a<sub>2</sub>\(\vec{x_2}\) = \vec{0}. Multiply both sides of this equation by A: a<sub>1</sub>?<sub>1</sub>\(\vec{x_1}\) + a<sub>2</sub>?<sub>2</sub>\(\vec{x_2}\) = \vec{0}. Now subtracting ?<sub>1</sub> times the first equation from the second equation: a<sub>2</sub>(?<sub>2</sub> - ?<sub>1</sub>)\(\vec{x_2}\) = \vec{0}. Which of the following statements about the above argument are correct? (A) (No answer given) (B) (No answer given) (C) (No answer given) (D) (No answer given) The only way a sequence of length two can be linearly dependent is if one of the vectors is a scalar multiple of the other vector. The zero vector is never an eigenvector. ?<sub>1</sub> times the first equation is a<sub>1</sub>?<sub>1</sub>\(\vec{x_1}\) + a<sub>2</sub>?<sub>1</sub>\(\vec{x_2}\) = \vec{0}. All three equations are vector equations, where both the left and right hand sides are elements of ?<sup>n</sup>.

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3. Consider the set \{(4, -1, 1), (-1, 0, 4), (-4, -17, -1)\}. (a) Determine whether the vectors in the above set are orthogonal with respect to the Euclidean inner product on $\mathbb{R}^3$. (b) Show that the vectors form a basis for $\mathbb{R}^3$. (c) Apply the Gram-Schmidt orthonormalization process to transform the above basis for $\mathbb{R}^3$ into an orthonormal basis. (d) Express the vector $x = (1, -1, 0)$ as a linear combination of the orthonormal basis found in part (c). (Be warned that the coefficients in the linear combination may not necessarily be rational numbers.)

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1) (15%) Problem 3-14 Determine the stretch in each spring for equilibrium of the 2-kg block. The springs are shown in the equilibrium position. 2) [20%] Problem 3-28 The street lights at A & B are suspended from the two poles as shown. If each light has a weight of 50lb, determine the tension in each of the three supporting cables and the required height h of the pole DE so that cable AB is horizontal. Remember to draw all free body diagrams.

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Using the Internet, obtain a DC motor that will use AC power source and be controlled by a Thumb throttle grip. The motor must be less than 1/3 hp and operate at 50 rpm. Determine the cost associated with this setup. What will be the cost if the DC motor will operate through a dc battery? What are the benefits and drawbacks associated with each setup? Discuss.

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1. A laboratory population of fruit flies, under Hardy-Weinberg equilibrium conditions initially, consists of 25% recessive phenotypes and 75% dominant phenotypes. If assortative mating takes place, altering this population to 50% recessive phenotypes and 50% dominant phenotypes (in one generation), A. then the inbreeding coefficient (F) = 0.0625 B. then the inbreeding coefficient (F) = 0.125 C. then the inbreeding coefficient (F) = 0.25 D. then the inbreeding coefficient (F) = 0.50 E. then the inbreeding coefficient (F) = 1.0 2. A laboratory population of fruit flies, under Hardy-Weinberg equilibrium conditions initially, consists of 4% recessive phenotypes and 96% dominant phenotypes. If assortative mating takes place, altering this population to 8% recessive phenotypes and 92% dominant phenotypes (in one generation), A. then the inbreeding coefficient (F) = 0.0625 B. then the inbreeding coefficient (F) = 0.125 C. then the inbreeding coefficient (F) = 0.25 D. then the inbreeding coefficient (F) = 0.50 E. then the inbreeding coefficient (F) = 1.0

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