Numerade

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Which species has an insertion relative to all of the other species? Zebrafish MVVEWTDAERTAILGLWGKLNIDEIGPQALSRCLIVYPWTQRYFATFGNLSSPAAIMGNPK 60 African_Clawed_Frog MVHWTAEEKAAITSVWQKVNVEHDGHDALGRLLIVYPWTQRYFSNFGNL SNSAAVAGNAK 60 Chicken MVHWSAEEKQLITSVWSKVNVEECGAEALARLLIVYPWTQRFFASFGNLSSPTAIMGNPR 60 Human MVHLTPEEKSAVTALWGKVNVDEVGGEALGRLLVVYPWTQRFFESFGDLSTPDAVMGNPK 60 Platypus MVHL SGGEKSAVTNLWGKVNINELGGEALGRLLVVYPWTQRFFEAFGDLSSAGAVMGNPK 60 Zebrafish VAAHGRTVMGGLERAIKNMDNVKNTYAALSVMHSEKLHVDPDNFRLLADCITVCAAMKFG 120 African_Clawed_Frog VQAHGKKVLSAVGNAISHIDSVKSSLQQLSKIHATELFVDPENFKRFGGVLVIVLGAKLG 120 Chicken VRAHGKKVLSSFGEAVKNLDNIKNTYAKLSELHCDKLHVDPENFRLLGDILIIVLASHFA 120 Human VKAHGKKVLGAFSDGLAHLDNLKGTFATLSELHCDKLHVDPENFRLLGNVLVCVLAHHFG 120 Platypus VKAHGAKVLTSFGDALKNLDDLKGTFAKLSELHCDKLHVDPENFNRLGNVLIVVLARHFS 120 Zebrafish QAGFNADVQEAWQKFLAVVVSALCRQYH 148 African_Clawed_Frog T-AFTPKVQAAWEKFIAVLVDGLSQGYN 147 Chicken R-DFTPACQFAWQKLVNVVAHALARKYH 147 Human K-EFTPPVQAAYQKVVAGVANALAHKYH 147 Platypus K-DFSPEVQAAWQKLVSGVAHALGHKYH 147 Chicken Platypus Human Zebrafish African clawed frog

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The lamp in the diagram is not very stable and falls over easily. Which row shows changes that would definitely make the lamp more stable? \begin{tabular}{|c|c|c|} \hline & base & centre of gravity \\ \hline A & narrower & higher \\ B & narrower & lower \\ C & wider & higher \\ D & wider & lower \\ \hline \end{tabular}

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Evaluate $\binom{8}{3}$.

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It takes 0.13 s for a dropped object to pass a window that is 1.35 tall from what height above the top of the window was the object released

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Find the Taylor series centered at $x = 6$ for the function below. $f(x) = \frac{4}{7 - x}$

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f(x) = frac{sqrt{x+1}}{2} - x - x^2

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3. (a) Show that the magnitude of the 4-acceleration $|a|$ for a stationary observer at radial coordinate $r$ in a Schwarzschild black hole of mass $M$ is $|a| = (a^\mu a_\mu)^{1/2} = (1 - \frac{2M}{r})^{-1/2} \frac{M}{r^2}$ (b) Explain the physics of the limits $r \to 2M$, and $r \to \infty$. (c) When $r < 2M$, the expression becomes imaginary. What does that mean?

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1. Ignacio has a utility function $U(c_1, c_2) = min(c_1, c_2)$ where $c_1$ and $c_2$ are his consumption in periods 1 and 2 respectively. Ignacio earns $147 in period 1 and $63 in period 2. He can borrow and save freely at an interest rate of 10%. (Hint: Leontief utility function is non-differentiable, you cannot calculate the MRS.) a. [5] If there is no inflation. calculate Ignacio's optimal level of consumption in each period. Will he save or borrow? b. [5] If the inflation rate is 5 percent, calculate Ignacio's optimal level of consumption in each period. How do his consumption choices compare to the ones you found in part (a)? Provide some intuition for this finding.

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37. Assume initially that market interest rates are 7% and the bondholder is receiving a $70 coupon payment per year on a bond with a face value of $1,000. If market interest rates rise to 8%, the bond price: A) falls to $875. B) falls to $800. C) rises to $1,125. D) falls to $700. 38. Assume that market interest rates are 6% and the bondholder receives a $60 coupon payment per year on a bond with a face value of $1,000. If market interest rates fall to 4%, the bond price: A) rises to $1,400. B) rises to $2,000. C) falls to $500. D) rises to $1,500. 39. How much is a bond worth if it pays $55 per year in interest and the market interest rate is 8%? A) $440 B) $687.50 C) $787.60 D) $1,250

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The purpose of this assignment is to investigate wave propagation using D'Alembert's solution to the one-dimensional wave equation. His solution to the equation $u_{tt} = c^2 u_{xx}$ subject to the initial condition $f(x, 0)$ and initial velocity $g(x)$ is $\frac{1}{2}(f(x + ct) + f(x - ct)) + \frac{1}{2c} \int_{x-ct}^{x+ct} g(s) ds$ Use Matlab or other programming software to demonstrate the propagation of waves using this solution. You can choose an initial wave form for $f(x, 0)$ and an initial velocity. Demonstrate your solution for two different choices of initial conditions and velocity.

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terri m.