Consider the 2nd order linear equation with constant coefficients: y/"+ ay' + by = 0. If ri and r2 are the roots of its characterisitic equation, then what is r+r? A. 1 B. Va? - 4b C. a²- 4b D. a2 + 2b E. a2 - 2b Select one: O a. B Ob. D Oc.C Od.A O e.E

Q: 11. What is the slope-intercept form of the equation -3x + 4y = 8? A y = 3x + 2 y = 3x + 8 3 O y=…

A:

Q: 8. A snow plow has a maximum speed of 30 miles per hour on a dry highway. Its maximum speed…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Sophia has already prepared 1 kilogram of dough and will continue preparing 1 kilogram of dough…

A: Methods to formulate an equation help to find the required equation corresponding to the problem.…

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13. %3D Neither

A: Given:7x+3y+4z=521x+9y+12z=13

Q: A line 4x + y = 1 through the point A(2, −7) meets the line BC whose equation is 3x - 4y + 1 = 0 at…

A: Let the equation of BC be 3x-4y+1=0      ....(1) and the equation of AB be 4x+y-1=0         ....(2)…

Q: Which equation does not represent a linear function of x?

A:

Q: What is the slope-intercept form of the equation -4x + 2y = 8? OA.y = 4x 2 HE OB. y=-4x+8 Ocy 2x +4…

A: The given equation is. -4x+2y=8

Q: Write an equation in slope-intercept form(y=mx+b), that perpendicular to y= 2x - 4 that passes…

A: Given that a line equation y = 2x - 4. And we know if two lines are perpendicular then there slope…

Q: Let a be a real number. What is the equation of the line that goes through (1,2+ a/2) and is…

A:

Q: Sketch v = (−2, 1), w = (2, 2), v + 2w, v − 2w.

A: Given vector, v = (−2, 1), w = (2, 2)

Q: 8. Write the following equation in slope-intercept form: 3x – 9y = 12 A. 3x = 9y + 12 1 4 С. x = 9y…

A:

Q: Find the equations for the lines through the point (a, c) that are parallel to and perpendicular to…

A: Given query is to find the equation of the lines

Q: Which of the following expressions is a linear equation in one variable? O 11.4x+ 21.4 = 11 O 2x-2y…

A:

Q: 2. Which point is the intersection of x + 2y = 8 and 2x + 3y = 10? a. (-2, 5) %3D b. (-4, 6) с. (2,…

A: The given equations are x+2y=8          …12x+3y=10      …2

Q: Find an equation of the line that passes through the point (5, 4) and is perpendicular to the line…

A:

Q: Rewrite the linear equation -4(x-) = *-(7y + 3) 3x-4 in the standard form of y = mx + c

A:

Q: 5) y=-2 4.x-3y 18

A:

Q: one of the following is not linear equation Select one: a. 3x + 2y = 7 b. 2y+3x-5z=V 8 C. X - 2y +…

A:

Q: Consider linear​ equation: y​ = 2​ + 4x, when x is increased by 1​ unit, y w

A: Answer - Consider linear​ equation: y​ = 2​ + 4x, when x is increased by 1​ unit,…

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.