4.4. Suppose that u = (1,3) and v = (3, 1). %3D (a) Sketch the points ļu + žv, ļu + ļv, and u + tv. (b) Draw the line of all linear combinations cu + dv with e + d = 1. (c) Sketch ļu+ jv and u+žv. Draw the line of all linear combinations си + св.

Q: Find the point of intersection of lines 1₁ and 12. 1₁:r₁ = (5 + 2t₁)i + (10 - 3t₁)j + 2t₁k 12:12 =…

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Q: Do the points (0.5, 1), (1, 1.2), (2, 2) lie on a line?

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Q: Select the expressions that are equivalent to 7(q+5)

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Q: 4.a) Is the equation Exact? * (y2 – 2xy + 6x)dx + (-x² + 2xy – 2)dy = 0 O Yes, the equation is…

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Q: Eliminate the arbitrary constant from the relation y a. y" = 0 с. у" 3 ба + 12b e. none of the…

A: topic - differential equation

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Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

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Q: Which 2 points are on the line (x,y) = (3,7) + k(-1,2), k E R Select one: (-1, 2), (3, 7) (3,7), (2,…

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Q: Mark all points that are on the line y = 5x + 8. O (2, 18) O (5, 8) O(– 2, – 3) 3 7)

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Q: 6y²dx- x(2x³ +y)dy = 0 a. x³yi = y#+ c b. x-3yi 2y+ c C. x³yi= yi+ c -y= 2y+ c d. x

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Q: B. Complete each table. 2. y = -2x 1. y = x + 1 -2x x + 1 -2 -2 -1 -1 1 1 3. y = 3x + 2 4. y = 2(x -…

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Q: Simplify. Assume that no variable equals 0. (5r*g)*(3r°g*) Submit Question

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Q: The coordinates of the missing point are A. (4, 4) В. (5, 4) (-1,4) (?, ?) С. (6, 4) D. (7, 4) x+ 3…

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Q: Determine if (3, -1, 4) is a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)

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Q: 10. Plot the points (-1, 3) and (4, 3). What would be the remaining two points of a rectangle whose…

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.