25. Determine the x- and y-intercepts. a) [x, y] = [2, –4] + t[3, –1] b) [x, y] = [-8, 11] + t[5, 2] c) [x, y] = [1, 7] + t[3, –3]

Q: Which function has a y-intercept of -2? O 3x + 2 a) fx) = 5х -1 3x + 2 O b) Ax)· 5x- 1 Oc) Ar) = 5x…

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Q: escribe and correct the error in finding the intercepts of the paragraph of the equasion. 4x + 10y…

A: to correct the error in the intercepts

Q: 4. Determine the slope-intercept form of the line from the two points on the line. a) (3, – 1), (-6,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 9. The points (1, 2), (5, A), (A, 7) lie on a straight line. Find all possible values for A.

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Q: + 4x-21- 27. What are the x-intercepts of the graph of R5)--x- 20 A. 7, -3 B. -4, 5 C. -7, 3 D. 4,…

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Q: 1.) Find the slope and angle of the line joining (2, 2) and (22) that the three points (x,-3), (9,…

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Q: Find the x-intercept and the y-intercept of the line b 14 3. 2. -6-5 - 43456 in.

A: x- intercept is the point at which line crosses x-axis . y- intercept is the point at which line…

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

A: Three points will lie on same line if slope of any two point is same as other two points, taken two…

Q: 1. The line y - 6 = 2(x + 4) passes through which point? OA (-4,-6) O B. (4, −6) Oc( 4, 6) OD (2,6)

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Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: pt of y=x3-4x2+x+6 В. -3,—2. and 1

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Q: 1. 4 2 -4-2 4 2 4 x-intercept y-intercept

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Q: A. Find the vertex for y = x² + 2x- 3. A. (0,-4) В. (1,-2) С. (-1,-4) D. (-2,-3) A

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Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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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: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

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: Q2. Find the line that passes through the point(3,4)and the point of intersection of the lines x + y…

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Q: 1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16

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Q: 5. What is the y-intercept of y= 2x++7x3-4x2-27x-18? В. 4 А. 2 C. -27 D. -18

A: The solution is given as

Q: Which one of the following points does NOT lie on the line 5y + 8x - 4 = 0?

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Q: 5. State the domain and range of each function. a) y = 2x- 1 b) y = -3(x – 4)² + 1 c) y d) y = V-3(x…

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Q: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

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Q: Plot each pair of points. Connect the two points in each pair. a) A(3, 4) B(5,0) b) C(-3,-1) D(0, 4)…

A: The points are: (a) A(3, 4)          B(5, 0) (b) C(-3, -1)       D(0, 4) (c) E(5, -4)         F(3,…

Q: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

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Q: 4. Determine the slope-intercept form the two points on the line. a) (3, – 1), (-6, - 4) b) (4,1),…

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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.