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Question 10 of 10 An $ 70-\mathrm{kg} $ professional cyclist is climbing a mountain road at an average speed of $ 23.5 \mathrm{~km} / \mathrm{h} $. The road has an average slope of If the cyclist's power output averages 350 W over the duration of the climb, how much energy $ E $ does he expend? \[ E=\square \mathrm{J} \]

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Mon 7 - CH32 Quiz - Cor Select the characteristics of mammals. Check All That Apply presence of hair presence of modified scales mammary glands to nurse young differentiated vertebrate with limbs under the body rather than beside presence of amniotic egg Saved

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when computers were first applied to business problems they were valued for which of the following

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12. Find all points at which the curve r(t) = 2ti - tj + t$^2$k intersects the hyperbolic paraboloid z = x$^2$ - y$^2$ - 9

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estimate the instantaneous rate of change of g(x)= 5/x+6 at the point x=2

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Luis attempts to convince his girlfriend Kate to have sex with him. Kate's religious beliefs do not permit her to have sex before marriage. According to Freud's theory of personality, which part of the personality pressures Kate not to engage in premarital sex? O Libido Ego Id Superego

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(1 point) Use the ratio test to determine whether $\sum_{n=6}^{\infty} \frac{4^n}{(2n)!}$ converges or diverges. (a) Find the ratio of successive terms. Write your answer as a fully simplified fraction. For $n \ge 6$. $\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = \lim_{n \to \infty} \frac{4}{2(n+1)(2n+1)}$ (b) Evaluate the limit in the previous part. Enter $\infty$ as infinity and $-\infty$ as -infinity. If the limit does not exist, enter DNE $\lim_{n \to \infty} \left| \frac{a_{n+1}}{a_n} \right| = 0$ (c) By the ratio test, does the series converge, diverge, or is the test inconclusive? Converges

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Average operating assets Estes Company has assembled the following data for its divisions for the past year: Division B ? Division A $500,000 Sales ? $520,000 Net operating income $100,000 $ 20,300 Turnover 1.25 4.00 Margin ? ? Minimum required rate of return 14% ? Residual income ? $6,000 Division A's sales are: a. $400,000. b. $625,000. c. $125,000. d. $200,000. ? Moving to another question will save this response.

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2. (Relative Acceleration) at the instant shown, the crank is rotating clockwise at 1800 rpm and accelerating at 12,000 rad/s². Use the relative acceleration method to analytically determine the linear velocity and linear acceleration of the piston. Use CAD when you have solved enough by hand to do so.

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Q2) (10p) I) Assume a fair coin is tossed twice. II) What is the probability that both outcomes are heads if one of the outcomes is known to be heads. III) What is the sample space in II)?

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cheryl a.