Numerade

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1. Each of the following structures contains at least one error, such as an incorrect number of electrons or on one or more atoms or a violation of the octet rule. Identify the errors and then a similar correct stru NOTE: There are many possible answers to each one of these! You may add an atom, subtract ar and rearrange the atoms, etc. in order to come up with a correct structure. All structures should be (uncharged) and formal charge for each atom should be 0. Follow the rules of valence! Structure Error in the structure Error is... -C-NH$_2$ $\text{V}$ HO $\text{C-NH}_2$ HO Error is... C=O:O C=O=O Error is... H$_3$C F H$_3$C CH$_3$ CH$_3$ Error is... N-H H-C-H O-O Error is... N-H H-C-H Corrected Structure O=C=O F H C=O

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1. A ball is projected upward from the top of a 90 foot building at a velocity of 64 feet per second. The ball's height above the ground below the building is described by the function $h(t) = -16t^2 + 64t + 90$, with $t$ being the time in seconds after the ball is projected upward. c. Write the coordinates of the vertex. Interpret what these numbers mean in the context of the problem. d. If nothing stops the ball before, then how much time elapses until the ball hits the ground below the building?

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Use mathematical induction to determine which formula is true for all natural numbers $n$. $1 + 2 + 2^2 + \dots + 2^n = 2^{n+1} + 2$ $1 + 3 + 3^2 + \dots + 3^n = 3^{n} + 1$ $1 + 2 + 2^2 + \dots + 2^n = 2^{n+1} + 1 - 1$ $1 + 3 + 3^2 + \dots + 3^n = 3^{n} - 1$ $1 + 2 + 2^2 + \dots + 2^n = 2^{n+1} + 1$

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2. value 3.33 points Question 2 (of 6) Save & Exit Submit Use mesh analysis to find the output current $I_o$ in the circuit given below, where $V_s = 10 \cos(10^3t)$ V. Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees $V_s$ 2 k$\Omega$ 1 $\mu F$ 0.4 H 20 sin $10^3t$ V The value of the output current $I_o = $ __ mA. Hints References eBook & Resources Hint #1 Ask your instructor a question

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Determine the roots of the curve C with equation $y = 9x - 4x^3$.

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GRAPH THE SYSTEM OF INEQUALITIES 5) $y \le x + 3$ $y \le -x - 1$

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2. When $3m\sqrt[5]{m} + 1$ is expressed as an entire radical, it takes the form $\sqrt[5]{243m^6 + 1}$ $\sqrt[5]{3m^6 + 1}$ $\sqrt[5]{3m^6 + 3m^5}$ $\sqrt[5]{243m^6 + 243m^5}$

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3) Find an equation in standard form for the ellipse that satisfies the given conditions: Foci $(0, \pm3)$, major axis length 10 (You're going to want to roughly sketch this first so you can find the center and vertices. Use the fact you have the foci, center, vertices to find a,b,c) $\frac{(y-k)^2}{a^2} + \frac{(x-h)^2}{b^2} = 1$

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Suppose that the functions $u$ and $w$ are defined as follows. $u(x) = x^2 + 7$ $w(x) = \sqrt{x + 8}$ Find the following. $(w \circ u)(1) = $ $(u \circ w)(1) = $

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Question 6 Prove that for all sets A, B and C A \ (B \ C) = (A \ B) \cup (A \cap C)

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