Analyze the equation 4x² -16x – 9y² - 54y = 101.

Q: Solve , y" - 8y' + 12y = 0

A:

Q: Identify the extraneous solution of the equation -4x – 11 = V-8x – 14. 15 x : 4 4 ||

A:

Q: simplify equation -8z+5+6z=-3z+10

A: Given: the equation

Q: What is the value of x in the equation 3x-4y=65 when y=4

A:

Q: Solve  y"-3y'-10y=0

A: We have to solve  y" - 3y' - 10y = 0 (D2 - 3D - 10)y = 0 The auxiliary equation is  m2 - 3m - 10 = 0…

Q: Solve the equation y"-6y' + 13y = 0

A: Here we have given linear second order homogeneous differential equation.

Q: Solve ym-y'-2y=3e2x,y(0) =0,y'(0)=-2

A:

Q: snip

A: Consider the equation: x2+3xy+2y2-10=0.   The general form of equation of conic is…

Q: Write the equation 4x 12y = 60 in the form y = mx + b.

A: We have the given equation as 4x-12y=60 On shifting the 'y' related term in one of the side and rest…

Q: What is the domain of the equation y=3x²-4x?

A: Given,            y =3x2 - 4x

Q: If 5x + 7y = -4 is a true equation, what would be the value of 7y + 5x?

A: Solution:-

Q: 4. Solve the equation y'=2x+1/3y+x+2.

A: According to question given:y'=2x+13y+x+2We have to solve the given differential equation

Q: Reduce the equation to intercept form 2x + 7y - 14 = 0

A: Equation of a straight line in intercept form is given by, xa+yb=1⋯⋯1 Here,…

Q: Analyze the equation: 4x2 + y2 - 8x + 4y + 4 = 0

A: 4x2+y2-8x+4y+4=0 On simplification, we get…

Q: Solve ,  y" - 8y' + 15y=0

A: Given a differential equation, y''-8y'+15y=0

Q: Solve the equation: (D^2-2D+5)y=16x^3e^3x

A:

Q: Solve ,  y"-7y'+12y=0

A: Given  y''-7y'+12y=0→             1

Q: Consider the equation 6x-4 = - (x-2). Which is the solution?

A:

Q: what would be the best way to remember how to rewrite an equation from y=1200et, to the form of…

A: Consider the equation  y=1200et

Q: Which equation has the same solution as x2 + 2x + 10 = 6?

A: Explanation and solutions is given below....

Q: The equation 4x2 + 4y- 8y + 4x + 100 = 0 is a/an

A: Topic = Conic section

Q: Analyze the equation: x2 /25 +y2/ 9 = 1

A:

Q: Solve ,  y" -17y'+60y= 0

A:

Q: 2· 2* . 4x+2 x+2

A: The expression provided is 2·2x·4x+22x+22. The objective is to write the expression as a power of 2.…

Q: The position of x = -1 + 2t, y = 3 + 3t is

A: For finding the position, we have to find the values of x and y at t=0

Q: Solve (D^2+2D-1)y=0

A:

Q: Which equation is equivalent to y=2/3x−6

A: Given informtion: y=23x-6

Q: Solve ,  y"-12y'+35y = 0

A: We have to solve  y" - 12y' + 35y = 0  (D2 - 12D + 35)y = 0 The auxiliary equation is  m2 - 12m + 35…

Q: Which equation has the same solution as x2 + 19x – 10 = 2?

A: -b/a is sum of roots c/a is product of roots

Q: (y')2 + 8y' = 4t is:

A:

Q: (b) In the equation - x - 6 = 0, a = 1 b = |-2 , and c = |-12

A:

Q: Which equation in standard form corresponds to x2+y2−2x+2y=7?

A:

Q: Determine the equation whose y'= Y/3x. 3x2 = y3 A 1 у? y= 3 x2 © x² = y3 1

A:

Q: What is the value of x in the equation 8x- 2y = 48, when y = 4? O 7 O 14 O 48

A: 8x-2y=48 to find x when y=4

Q: Write the equation in standard form. 4(2x+3)=5y-12

A:

Q: Use the IVT to show that the equation: x5 + 2x3 +3x- 4 = 0 has a solution.

A: Intermediate value theorem states that if f(x) is continuous in [a, b] and and f(a)*f(b)<0, that…

Q: Solve ,  (D2-7D+12)y = 0

A: Given ,  (D2 - 7D + 12)y = 0 The auxiliary equation is  m2 - 7m + 12 = 0

Q: -8 -6 -4 -2 -1 -2 -7 Close to

A:

Q: write the equation x - 2 = (24 - 12x) / (-13x+3) in the standard form ax2 + bx + c = 0

A:

Q: solve the equationy + 0.4 = 0.6(y+ 2)

A: We havey+0.4 = 0.6(y+2)Open the bracket, we gety+0.4 = 0.6y+1.2

Q: subtract the equations   `-7x+4y=9` `-7x+2y=-5`

A: Simply substrate the one equation from other and do simplification in similar terms.

Q: what is the solution to the equation x2-3x-28=0?

A: The solution is:

Q: The equation A = 200(2)". can also be written as:

A: We have to rearrange  the given equation.

Q: Which represents the equation 6x+3y=12

A: The given equation is 6x+3y=12. To solve the given equation for y we need to first divide 3 into…

Q: State whether the equation z = (;)' + (;)* 2 2 7

A:

Q: When x = 3 and y = 5, by how much does the value of 3x2 - 2y exceed the value of 2x2 - %3D Зу ?

A: Given:  To determine how much doesthe value 3x2-2y exceed the value of 2x2-3y whwn x=3and y=5

Q: determine the solution set to the equation. x^2+ y^2+ 6x− 4y + 15 = 0

A: Find the solution set of the given equation.

Q: Solve the equation 2y2-21-7y=y2-3y

A: Given:

Q: Solve ,  y^2-6y+9 = 0

A: We have to solve  y2 - 6y + 9 = 0 y2 - 3y - 3y + 9 = 0 Then ,

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.