iv) If y= ax-6x² + bx – 4 has a point of inflection at (2, -2), what is the value of (Note: This part has nothing to do with the other parts)

Q: (b) Find the general solution of: = yx² - xy ex

A:

Q: Show that the equations x+ y +z = 4, 2x + 5y - 2z = 3, x + 7y - 7z = 5 are not consistent.

A:

Q: 1. Eliminate the Y= arbitrary constant 2x 2x Ae ²x + Be²x

A:

Q: 4 There is one value of x for which the equation y = has no ordered-pair solution. What is that…

A: Given,         There is one value of x for which the equation is y=4x-7 has no ordered pair…

Q: By cardanos method x^3-6x^2-6=0 is r1=y-a/3 and a=-6 find y

A: Given, x3-6x2-6=0 where x=y-a3 and a=-6. We have to find y.

Q: (1) If x=t*2 +1and y= t*3, then the second 3 (4t) Option 1

A:

Q: Find the pasticulao Solution of the ng Anitial Value Problem bting 8- 1) =2 %3D

A: We have to find the particular solution of the initial value problem dydx+12xy=xy-8 with the initial…

Q: 4.3 Verify that for f(x, y) = 4x°y$ - 9x*y³. дх ду ду дх df

A: Explanation of the answer is as follows

Q: y = xe * satisfies the equation ry' = (1 – x²) y. %3D

A: Given differential equation  xy'=1-x2y

Q: Es, given that x(0) = -1, and y(0) = 0 *+x+2y-1=0 2x+y+y-2=0

A:

Q: 4. If y = 3', express each of the following in terms of y: %3D (a) 3**1 - 3*- 1 (b) 32x +1 + 3*- 2…

A:

Q: 4. If the mz1 = 8y-24 and the mL3 = 100, then what is the value of y? %3D

A: m∠1 = 8y-24 and m∠3 = 100

Q: x' = 3x - 4y + z+t y' = x-6z +1? z' = 3y- 5z +t3 x' y' y z' + II > N

A:

Q: What is the particular solution for y′=6e^x+x^2−7x such that y(0)=6?

A: Given problem:- y'= 6ex+x2-7x  Particular solution for given differential equation when y(0) =6

Q: b) p(x) = x* – x³ – 6x² %3D y-axis 4+ 3+ 1-- X-axas 1 3. 4. -1 -1 -2 -2 -3 -4.

A: We have to draw the graph of px=x4-x3-6x2 Factorizing the curve:…

Q: 3 If z= then: (2x² + y² )² ' dz az + y- -4z he dz dz + y- 4% az dz + x- y- = 4z az az = -4z

A:

Q: 1 If y* = ex , then y' equals -2x 2y B +3 (c) none of the given choices 2x (D y3 - 2y E x3 A,

A:

Q: If x, y belongs to Z prove that the equation x^2+4x-8y=11 has no solution

A: The given equation is, -----(1)

Q: Show that the equation x+y+z=4,2x+5y-2z=3,x+7y-7z=5 are not constant

A:

Q: If xy2 3x2y + C, then what is the value of C at (2,2)?

A:

Q: 4- Find the particular solution for: 3x²y' = 5x – 6xy, x = 2 when y = 1 %3D

A:

Q: Suppose that W (y1, Y2) (t) = 4, and y3 Yı – 3y2. What is W (y1, Y3) (t)?

A: Correct option -12 We have to find out the value for Wy1,y3t.

Q: 5. If (2x- kx' +2k) dx = 12, then k must be %3D (А) -3 -3 (B) (C) 2 (D) 3

A: Solution :  ∫02(2x3-kx2+2k)dx=122x44-kx33+2kx02=122 244-k233+2k(2)-0=122164-k83+4k=12…

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

A: Introduction: When a multi-variable function is to be extremize, Lagrange's multiplier method is…

Q: Q2/ Choose the correct 4 By using fixed point method, which as the following formulas can use to get…

A: The given equation is 3xex=1 on [0,1]. To Find: Fixed point iteration rule for the above function.

Q: 2) 4= -4x required: a) Fih d the value of Y iF X=1

A:

Q: -4 -2 y 18- 16- 14 12 10- 8 6 y2 2 yl X

A:

Q: *宗+> B. If z = show that x 3z %3D x+y

A:

Q: 18.) Which is not a point on the equation -2x - 3y + 5z = 7? a. (1,2,3) b. (-2,-3,5) c. (-2,4,3)…

A:

Q: 2. Suppose that A, B, and C are three approximations for - a² – y²) dA for D = [0, 2] × [0, 2] and…

A: Given that A, B and C are three approximations for  ∬D4-x2-y2dA                   (i) For D=0,2×0,2…

Q: 2: Show that the line equation passing through two distinct points (a1, b1) and (a2, b2) can be…

A:

Q: 1 If y = ex , then y equals (A none of the given choices – 2y B) x3 2y x3 - 2x y3 2x E) y3

A: To find y'

Q: u+ 3z = 5 y +z = 1

A: Matrix: The matrix isA=1211131-11b=451At first we need to find the determinat of A.Ax=b is the…

Q: Al Q2/ Choose the correct By using fixed point method, which of the following formulas can use to…

A: The given equation is 3xex=1 on [0,1]. To Find: which of the following is the fixed point iteration…

Q: 1. Find the number of non negative solutions to x + y + z + w 16. With the conditions that x > 2, y…

A: The complete solutions are given below

Q: Consider the problem: Min 10+ x² + y² subject to 2x² + y² ≥ 2, x ≥ 0 and y ≥ 0. x,y 1. Suppose that…

A:

Q: The general solution to the ODE x²y" + 2xy' - 2y = 0 is y = C1x + C2x-2. Use variation of parameters…

A:

Q: 2. Suppose that A, B, and C are three approximations for (4 – a - y) dA for D = [0, 2] × [0, 2] and…

A: If domain D is split in four equal squares then, the graph is as shown below:

Q: Consider the following LP Min z = 3x, + 2.x, + 7x, s.t =10 r+ 'r - -2x, + x, – x, <-10 %3D In…

A: Max Z =   3 x1 + 2 x2 + 7 x3 subject to -   x1 +   x2       = 10 - 2 x1 +   x2 -   x3…

Q: Find a particular solution for i= -3y - 4 + Se ya- Sya + 6ya - 6e (0) - 19, ya(0) - -23

A: Given Equations are: y'1=-3y1-4y2+5et ---(1)y'2=5y1+6y2-6et ----(2) From (1)…

Q: X-3y+z--1 3x-y+2z-2 2x + 3y -z= 1 Eat Ax B A-B 3.

A:

Q: 2. If x² - xy + y² = 3 find y' and y".

A:

Q: Use the characteristics method to solve the problem U, +3yU, = 2U , U(x,1) = f(1+ x,)

A:

Q: ,2,,2 Suppose that f(x, y) = 10x²y² + 6x? + 2y? then find the discriminant of f.

A: We have to find the discriminant from the given function

Q: :The domain of \(y=v(1-x^2) \) is :Select one a. R/ [-1,1] b. (-1,1) c. [-1,1]

A: we have to find the domain of the given y.  Note:the domain of √f(x) is f(x) &gt;=0

Q: 1- If y+3y = 8 then g- solution is %3D a- y + 6 = 1 b- In (8-3y) =x + c 3 a

A:

Q: Function as, y (x) = (x² – 2) (3x + 2) %3D

A: Given,          yx=x2-23x+2

Q: How can I solve these two subtituions problem?  1- y= 3x-3 4x-2y=-2 2) 4x+3y--1    6x-5y=27

A: (1) Consider the given first equation.