Task 4 There are only red marbles and green marbles in a bag. There are 5 red marbles and 3 green marbles. Mohammed takes at random a marble from the bag. He does not put the marble back in the bag. Then he takes a second marble from the bag. 1) Draw the probability tree diagram for this scenario. 2) Work out the probability that Mohammed takes marbles of different colors. 3) Work out the probability that Mohammed takes marbles of the same color.

Q: Consider the given vector equation. r(t) = e16t i + e8t j (a) Find r'(t).

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Q: Secondary Topic 9. Use a third-degree Taylor polynomial to approximate e/2.

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A: To Find: Directional derivative

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Q: Secondary Topic 3. Approximate a dx with six intervals and the trapezoid rule.

A: To approximate the below integral using Trapezoidal rule with six intervals. ∫−24x2dx

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A: We have to find the directional derivative of f(x,y,z).

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A: Given

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A: The solution is below.

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A: To complete the truth table of the following question. Solution is given in next step.

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A:

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