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the elements that make up a datavase are forms application programs reports and

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Examples 1. The acceleration of a particle moving along a straight line is given by $a = 6t - 12$ m/s² where $t$ is in seconds. If the initial velocity and position of the particle at $t = 0$ are $v_0 = -15$ m/s and $s_0 = 40$ m, determine the position of the particle where it reverses the direction of motion. Ans: $s = -60$ m

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Which of these is a field that studies biodiversity in order to help understand the evolutionary relationships between species? O Forensics O Systematics O Genetics O Taxonomics

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Which term is used to describe beliefs and attitudes about social groups that are not based on known facts? Question 7Select one: a. Stereotypes b. Biases c. Prejudices d. Discrimination

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The inputs of cellular respiration are oxygen and sugar; the outputs of cellular respiration are: ATP and methane. water and energy in the form of ADP. water, glucose, and sucrose. carbon dioxide, water, and ATP. carbon dioxide, glucose, and fructose.

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Question 2 Economics A is a social science. B is concerned with limited resources. C is concerned with unlimited wants. D All of these are correct.

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This ICS incident facility is the location where food, water, rest, and sanitary services are provided to personnel for this incident. A. Camp B. Staging Area C. Triage D. Incident Command Post

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The function \( f \) given by \[ f(x, y)=\left\{\begin{array}{ll} 2 x, & 0 \leq x \leq 1 \text { and } 0 \leq y \leq 1 \\ 0, & \text { otherwise } \end{array}\right. \] is the joint probability density function of the random variables \( X \) and \( Y \). (a) Verify that \( f \) is indeed a joint probability density function. (b) Calculate the marginal probability density function of \( X \). (c) Calculate the cumulative distribution function of \( X Y \).

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mplement the function described in Q1(a). Your implementation should broadly match your algorithm from Q1(b); failure to do so will cause a reduction in marks. You can use the tests below to help check if your code is working. NOTE that failing the tests is a clear indication you code is faulty, but passing the tests is NOT a guarantee it is correct. Your tutor may run additional tests.

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Solve the following initial value problem for r as a function of t. Differential equation: \frac{d^2r}{dt^2} = e^ti - 5e^{-t}j + 18e^{3t}k Initial conditions: r(0) = 3i + j + 6k \frac{dr}{dt}|_{t=0} = -3i + 7j

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