Given the points A(-6, -5,5) and B( −6, −5, 1). Question 3 a) Write parametric and symmetric equations of the line passing through A and B. b) Find the intersection of the line passing through A and B and the plane passing through C(-18, -6, 15 ) with normal vector n = <5, -6, -5>.

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Q: 4. Let f: [a, b] → R be integrable. Define F: [a, b] → R by F(x):= == f(t) dt Show that F is of…

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Q: 4.5 -0.5 5 Select one: Oy = -² -2y None of these. O y = y² - 2y O y = y² + 2y Oy - 2y = -y² -3 -2.5…

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Q: QUESTION 1. Solve each of the following initial-value problems. a) +2y=e-3, y(0) = 2

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Q: 2. ㅠ to Suppose g(x) 4* = 1 (1+x²)²* the average value of f(x) on the interval [-1, 1] is equal 1 +…

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Q: 6. For f(x) = 2x - x, construct the second Lagrange interpolating polynomial using the nodes xo = 1,…

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