The path of a fast moving particle assuming constant speed traces a circle with equation (x-3)2 + (y-4)2 =25.It starts at point (3,-1),moves counterclockwise,and passes the point (8,4) for the first time after travelling 7 microseconds.Where is the particle after travelling 20 microseconds

Q: Find the equation of the line perpendicular to y=−2y= through the point (3,2)

A:

Q: Write the slope-intercept form of the equation of the line 15) through: (4,-1). parallel to y - 16)

A: Given that the point is 4,-1 and the equation of the line is y=-34x. Compare the line y=-34x with…

Q: What is the equation of a line parallel to the line y=2x that passes through the point (0,4)?

A: Solution:      Equation of any parallel line to y = 2x is      y = 2x + c where c is constant.

Q: ind the equation of the circle with radius 5 whose center lies on the x-axis and passes  through the…

A: Since the radius of the circle is 5 and its center lies on the x-axis,the equation of the circleis…

Q: Parallel to y= -2x, passing through (0,1)

A: Required the equation of the straight line satisfying the given conditions

Q: A line goes through the points (-4,7) and (1, 2). What is the equation of the line? A y = x – 3 By =…

A: In this question first of all we find slope of required line, then solve it further to find out the…

Q: Find equation of two different lines l2 and l3 through the point (6,-4) that are parallel to the…

A: The equation of line in standard form is ax+by=k where k is a constant. Since the equation of the…

Q: Find an equation of a line parallel to y-3x=5 and passing through the point (2,2) y=?

A: parallel to y= 3x + 5  p(2,2)

Q: (-2,4) parallel to y=-3/2x+3

A:

Q: Determine the equation of the line perpendicular to y = 3x - 4 passing through the point (5, -3)

A:

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.