1. Assuming a portion of the trajectory of a nuclear missile fired when plotted in the Cartesian plane follows a quadratic curve and is found to pass through the points (-1, 0), (0, 1) and (1, 4). A stealth plane must intercept the missile by firing a heat seeking missile which will travel in an orthogonal trajectory with the nuke. If the interception is a success at the point (2, 9), determine the equation of the trajectory of the heat seeking missile. Sketch the trajectories of both missiles.

Q: 4- Find the equation of the straight line through A(3,1) parallel to the line AB whose equation…

A:

Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: A hiker realises that the sun is going down and she forgot her headlamp. If the surface of the…

A:

Q: Find the symmetric equation of line L, that passes through the points (1, 8, 9) and (5, 9, 0).…

A: 9

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

A:

Q: Determine the x-intercepts of the following equation. (-x +5)(-a - 2) = y O (5,0) and (-2,0) O…

A: (5,0) and (-2,0).

Q: 1. Find the linear equation that is the straight line through (3, 2) and (8, 17). Please enter your…

A: To find the linear equation of the straight line that passes through the points 3,2 and 8,17.

Q: Determine if the following points are on the graph of the equation 2x-y=6 . (a) (2,3) (b)(2, -2)

A: The given equation is 2x-y=6

Q: Write the equation of a linear model through the points (600,19) and (2000,5)?

A: The given points are (600,19) and (2000,5). It is known that, the equation of the line passes…

Q: the equation of the straight line passes through A(2,5) amd B (3,4) IS

A:

Q: Determine the x-intercepts of the following equation. (-x+ 5)(-a - 2) = y | O (5,0) and (-2,0) O…

A: The objective is to determine x - intercepts of -x+5-x-2=y       ...... (1) To find x - intercepts,…

Q: At what point does the graph of 3x+y=0 and x-y=D4 intersect?

A: Given: 3x+y = 0 y = -3x And x-y = 4 y = x-4

Q: Find the equation of the straight line through C(2,0) parallel to the line CD whose equation…

A: • Parallel lines have equal slopes. So, we can use this fact to find the equation of required line…

Q: Find an equation of the line passing through the given points. (1, 1), (8, - 2) y=--

A: The line passing through the points (1,1) , 8,-34

Q: 5. Find the equation of the line passing through (2, 5) and with y - intercept of 2.

A:

Q: 4) State whether a quadratic model or a linear model would be the better fit for this data.…

A: Given the given table is

Q: Find the equation of a line perpendicular to: a the line x+ 3y = 0 and passing through point (-3, 2)…

A: We will answer the first question since exact one was not specified. Please resubmit the question…

Q: A point P(x, y) moves so that the sum of the squares of its distances from points A(0,0)and B(2,-4)…

A: Given,           A point P(x, y) moves so that the sum of the squares of its distances from points…

Q: A company’s profit increased linearly from $6million at the end of year 1 to $14 million at the end…

A:

Q: 2) Find the equation of the line having y-intercept (0, 5) and x-intercept (10, 0).

A: Given points are:                          y- intercept (0, 5)                          x- intercept…

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.