Numerade

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When the electoral college could not elect a president in 1824, the House of Representatives selected Aaron Burr James Monroe John Q. Adams James Madison

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Find two functions defined implicitly by the given relation. 3) x^2 + y^2 = 64 A) y = √64 - x^2 or y = √64 + x^2 C) y = √64 + x or y = √64-x B) y = √64 + x or y = - √64-x D) y = √64-x² or y = -√64-x2

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At Auchewitz, what was the calorie minimum daily? What was the estimated calorie limit during Great Leap Forward 4 year famine?What did this lead to?

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Find $\frac{dy}{dx}$ by implicit differentiation. $\tan^{-1}(3x^2y) = x + 2xy^2$ $\frac{dy}{dx} = $

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Lecture 1B: Electric Fields Objectives: • Understand the electric field as a representation of the force on a test charge • Apply Gauss' law to calculate an electric field • Visualize the behavior of charges and electric fields in and around conductors Useful equations: • Coulomb's law: $F = \frac{k q_1 q_2}{r^2}$ • Gauss' law: electric flux $= \frac{Q_{enclosed}}{\epsilon_0}$ • Coulomb's constant: $k = 8.99 \times 10^9 \text{ N m}^2/\text{C}^2$ • Permittivity of free space: $\epsilon_0 = \frac{1}{(4\pi k)}$ 1. Consider the pair of opposite charges shown below in red and blue. (a) Sketch the electric force F experienced by a positive test charge at each of the positions (A-F). (b) Sketch the electric field using the representation of electric field lines. A + B - C D • E • F Page 1

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A factory produces light bulbs, and the lifetime of these bulbs follows a normal distribution with a mean of 800 hours and a standard deviation of 40 hours. Calculate the probability that a randomly selected light bulb will last less than 750 hours.

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An angle in standard position has its terminal side forming 55° with the x-axis in quadrant II. Find the measure of the angle as an angle measure that is greater than 360°.

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Problem 2 For pin-joined truss ABCDE shown below subjected the to the applied load P, compute the following: a) Verify that the truss is indeed statically determinate b) Compute the supports reaction forces c) Compute the vertical displacement of joint E. Assume all members have the same values of E and A. Display your answer completely in terms of the given parameters E, A, L and P. hint: use Castigliano's theorem

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Uncertainty: A displacement transducer has the calibration curve $y = \frac{K}{E}$. (3) Estimate the uncertainty in displacement $y$ for $E = 10V$ and $K = 10mmV$. with $\sigma_E = 0.02V$, and $\sigma_K = 0.01mmV$.

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brooke f.