Numerade

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Graphing a Polynomial Function In Exercises 49-52, (a) use a graphing utility to graph the function, (b) use the graph to approximate any x-intercepts, (c) find any real zeros of the function algebraically, and (d) compare the results of part (c) with those of part (b). 49. y = 4x³- 20x² + 25x 50. y = 4x³ + 4x² - 8x - 8

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4. Convert 75 miles/hour into meters/second. $\frac{75\text{ miles}}{1\text{ hour}} \times \frac{1.61\text{ km}}{1\text{ miles}} \times \frac{1000\text{ m}}{1\text{ km}} \times \frac{1\text{ hr}}{60\text{ min}} \times \frac{1\text{ min}}{60\text{ sec}}$

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rats that experience abusive treatment 8-12 days after birth, exhibit more what during adolescence, associated with increased activation of the what?

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2.) Why was it important that pioneering victimologists expand their criminological perspective from solely focusing on the offender, the causes of crime and how to deal with crime, to considering the victim of crime as well? Explain your answer

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Use a graphing utility to graph $h$, and use the graph to determine whether $h$ is even, odd, or neither. (a) $h(x) = \cos^2(x)$ even odd neither (b) $h(x) = \sin^2(x)$ even odd neither

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Prove that the complement of a countable set of real numbers is always dense in R.

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Using the natural logarithm, solve for $x$ in the equation $5^x = 8$. $x = $

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Standard form of the equation of the circle with endpoints of a diameter at the points (5,2) and (-9,5) is: (x - h)^2 + (y - k)^2 = r^2 where the center of the circle is at the midpoint of the diameter, which is ((5 - 9)/2, (2 + 5)/2) = (-2, 7/2) and the radius is half the length of the diameter, which is √((-9 - 5)^2 + (5 - 2)^2)/2 = √(196 + 9)/2 = √205/2. Therefore, the equation of the circle is: (x + 2)^2 + (y - 7/2)^2 = 205/4

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Q1.[10%] Given the joint distribution of $P(X, Y)$ as below: I. What is the marginal probability of $P(X = 3)$ and $P(Y = 2)$? II. What is the conditional probability of $P(X = 2|Y = 3)$? Y 1 2 3 4 X 1 0.12 0.08 0.06 0.05 2 0.06 0.10 0.12 0.06 3 0.08 0.04 0.07 0.16

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Use the product rule to find the derivative of the following y = (x + 7)(5\sqrt{x} + 8)

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esperanza g.