3x 15)- x+4 12 2- x+4 3 4 16) x-3 x-2 x-3' 17)s[x-(4x - 5)]=3-2x, 18)6[3y- 2(y-1)]-2+7y 0, 19)[2+(y+1)]= (y+2), 20)(y+3) =(y+4)² +1, 21)(z- 7) = (z- 2) +9.

Q: 3) 3x3-x2+18X-6 (3x-x3)+ (1BX-)

A: From first two terms factor out x^2 From last two terms factor out 6

Q: 8) Multiply: (2a-3)(5a + 1) a. 10a²-3 d. 10a²13a-3 b. 7a²-2 e. 10a²-6a-3 c. 7a²-5a-2

A:

Q: x² + y2 +30x10y +249 = 0 O(x+15)² + (y-5)² = 49 O(x+15)² + (y- 5)² = 1 O(x+15)² + (y- 5)² = 9…

A: We use completing square method

Q: 4) 6x + 2y = -7 4x – 4y = 22 ofthe ear and their

A: Given equation

Q: Calculate B(5,2) if B (a,r) = 2ar+r^3

A: I have to calculate B(5,2) It is given that B(a,r) = 2ar+r3

Q: If y = 3, then dy de 3x+2" |3|

A:

Q: Evaluate (2x + 4)(3x + 2) d dx A) 6 C) 12x + 16 B) 6x² + 16x + 8 D) 30x² + 43x + 8

A: Given query is to find the Indicated derivative.

Q: 21-[3+5y-3(y+3)]= -3(3y-6)-[5(y-1)-8y+4

A: 21-[3+5y-3(y+3)]= -3(3y-6)-[5(y-1)-8y+4 We need to simplify the above equation.

Q: 5. x2-10 = 9x 7. x2 3x + 16 = 7x -

A: The objective of the first question is to solve the quadratic equation x^2 - 10 = 9x for x. We can…

Q: (8a in simplest form.

A: 8a-3-23To write in simplest form

Q: 1/6a+1/4=1/2a-3/4

A: 16a+14=12a-34

Q: Mx) = * - 4x² + 2 f(x)

A: Topic:- Functions  Correct option = A

Q: 23 Discussion A multply And simply the resu Apression with positive ex (-2x4) (-(ex -4 √²) Y4) -2 M

A: Here an expression is given as we know that  and also where  is any variable and  are any real…

Q: 5[3m - (m + 4)] > -2(m - 4)

A: topic:- algebra

Q: 1) X2 -4xy+ 3y2 2) 9x2- 25y2 3) x =-16 -16

A: 1.X2-4XY+3Y2=0 Reorder the terms -4XY+X2+3Y2

Q: 14. 15. 16. 17. (2c + 3d) − (-6d – 5c) - - (5x² + 6x − 9) - (x² − 3x +7) - (3y-6) -(8-9y)

A:

Q: 3x +2y-z = 3 +7z=9 + 5z = 12 (2x-3y

A:

Q: B) (x + 10) +y-10)"= 16

A: Given: Center = ( -10 ,  10 ) and radius = 4.

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.