Numerade

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Let $f(x) = 6 - 5x + 3x^2$. Calculate the following values: $f(a) = 6 - 5a + 3a^2$ $f(a + h) = 6 - 5(a + h) + 3(a + h)^2$ $\frac{f(a + h) - f(a)}{h} = $ for $h \neq 0$

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Refer to the following table. Based on the values in the table, the production possibilities frontier is Cookies (in dozens) Coffee (in pounds) 1000 0 800 350 600 650 400 850 200 1000 0 1100 O bowed outward indicating increasing opportunity costs. O bowed outward indicating decreasing opportunity costs. O a straight line indicating constant opportunity costs. O bowed inward indicating decreasing opportunity costs.

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True or False: PPC search ads can become less effective over time due to the advertising activity of competitors.

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Given $f(x) = \frac{x - 1}{\sqrt{x} - 1}$, why is it necessary to rationalize the denominator to evaluate $\lim_{x \to 1} f(x)$, but not for $\lim_{x \to \infty} f(x)$?

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9. (3pts) List three characteristics of the Hindu Arabic Numeration System 10. (3pts) Explain what 10 means in any base 11. (3pts ea) Complete the following: a. How many zeros are required to express $(1 \times 8^4) + (2 \times 8)$ in its standard form in base 8? b. Write 1034$_8$ in expanded form. c. In base 4, write the next three numbers after 333$_4$

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Find the orthogonal projection of y onto u. 11) $y = \begin{bmatrix} -10 \\ 30 \end{bmatrix}$, $u = \begin{bmatrix} -4 \\ 2 \end{bmatrix}$ A) $\begin{bmatrix} -4 \\ 2 \end{bmatrix}$ B) $\begin{bmatrix} -20 \\ 10 \end{bmatrix}$ C) $\begin{bmatrix} -20 \\ 2 \end{bmatrix}$ D) $\begin{bmatrix} 4/5 \\ -2/5 \end{bmatrix}$ 12) $y = \begin{bmatrix} -24 \\ 10 \end{bmatrix}$, $u = \begin{bmatrix} 4 \\ 20 \end{bmatrix}$ A) $\begin{bmatrix} 1 \\ 5 \end{bmatrix}$ B) $\begin{bmatrix} 4 \\ 20 \end{bmatrix}$ C) $\begin{bmatrix} 16 \\ 80 \end{bmatrix}$ D) $\begin{bmatrix} 1/4 \\ 5/4 \end{bmatrix}$

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1. Let $f(x) = 4x + 1$ on the interval $[0, a]$. What does $a$ have to be in order for $f$ to be a pdf of a continuous rv on $[0, a]$?

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1 points Save Answer Holding all else equal, will a decrease in demand for domestic goods relative to foreign goods lead to an appreciation or depreciation in the domestic currency relative to the foreign currency? (One word answer please) For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt

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OUPy1 13.2WA017 Two equal masses are situated on the x-axis at 40.0 m on either side of the origin as shown in the figure below. Location A is on the perpendicular bisector at a distance of 24.0 m from the origin on the y-axis. XA a1 1.50 kg. What is the net gravitational field at location A? Express your answer in vector form. -4.73 x 10^-14 N/kg If m=2m, what is the net gravitational field at location A due to both masses? Express your answer in vector form. Assume m=1.50 kg. -9.46 x 10^-14 N/kg

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6. (5) For grammar G: $S \rightarrow AaSbB \mid \epsilon$ $A \rightarrow aA \mid a$ $B \rightarrow bB \mid \epsilon$ Using parse trees, not leftmost derivations, show that G is ambiguous.

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