Note: for this problem, your answer will be left in terms of k . 2.r + y = 8 x - ky = 2 Complete the ordered pair: (x,y) where: (8k+2)/(2k+1) and y = -4/(2k+1)

Q: Find the number of non negative solutions to x+y+z= 21. With the conditions that x < 3, y ≥ 2, z ≥…

A: Given that x+y+z=21 with the conditions x&lt;3, y≥2, z≥4

Q: Find the general solution to y" + 7y' + 12y = 6e*. %3D

A: Consider the provided question, y''+7y'+12y=6e-xAuxilary equation…

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: Find the solutions to y = −2y + 8 satisfying y(0) = 3 and y(0) =4, and sketch their graphs.

A: The given differential equation is y' = -2y + 8, satisfying the initial condition y(0) = 3, y(0) =…

Q: The solution of the IVP у" - Зу'- 4у%3D0, V(0) %3D0, у'(0) —5 is: Select one: а. y = - e4t + e-t b.…

A:

Q: Find a particular solution to y" + 4y' + 3y = -16te²".

A:

Q: Solve for x, y and find mZF. (5y) 70 (7x - 5) 45

A: Consider the provided figure, Find the value of x and y and m∠F. From the graph EY is transversal…

Q: For x = t3 + 2, y = 3 – t, give an equation in terms of x and y.

A:

Q: Find two values of r such that y =x" is a solution of ху" - бху' - 18у %3D0,х>0. O A. r= -9, 2…

A:

Q: In the following diagram, A || B. 21 3x+7 2 23 B 24 26 25 4x+5 5y-29 27 28 Зу+19 1. Use complete…

A: Given problem:-

Q: Use undetermined coefficients to find the particular solution to y'' + 3y' + 2y = 4e - 2t Y(t) =

A: Given:

Q: Use undetermined coefficients to find the particular solution to y''−4y=2e^−3t

A: Use undetermined coefficients to find the particular solution toy''−4y=2e^−3t

Q: 3x + y = 18 (by elimination X - 5y = -10 %3D

A: Post other problem ,  This problem solve my elimination of one variable,

Q: Q1: Find the values for (X, Y, Z) for the following equations : X + 4Y - Z = -5 (1) 3X + 3Y – 18Z =…

A:

Q: 5. How many solutions are there between planes P₁: 2xy + 2z = 2 and P₂: -x + 2y + z = 1? If there…

A:

Q: In the diagram below, given that XY 3cm, XZY=30° and YZ =x. Is it possible to solve for x using the…

A: The Pythagoras theorem states that in a right angled triangle, h2=p2+b2 , where, p is the length of…

Q: Given: 4 x2 + 9 y² + 16x – 18y = 11 Find: 1) Length of Major Axis 2) Vertices

A: First write in standard equation of ellipse then solve

Q: 3. For the following equation in 3D: (k + 4)x − (k + 10) − 3z = k+1 4 y , find x-intercept,…

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Q: Use undetermined coefficients to find the particular solution to y'' – 7y' + 10y = 3e-2t Y(t) =

A:

Q: x' = -3x + 2y, y' = -3x + 4y; x (0) = 0, y(0) = 2 %3D %3D

A:

Q: C. Use parts (a) and (b) to find particular solutions of y"- 6y' + 5y = 5x2 +3x- 16- 9e2x %3D and…

A:

Q: Find a particular solution to y" + 7y' + 10y = -19te“. %3D

A: Introduction: When there is a non-zero function of the independent variable on the right-hand side…

Q: Find value of k in the equation kx+8y+11=0 if point X=(10,7) lies on this line

A:

Q: Find the particular solution. (D^2 − 2D − 3)y = 0; when x = 0, y = 0, y′ = −4

A: From the given differential equation; D2-2D-3y=0 The auxiliary equation is: m2-2m-3=0 Now solve;…

Q: makes v = 2 î-3ĵ +4k, and ν-51+6j +αh Perpendicular is 1) α-2 2) α= 1 3 ) α-2 4) α=-1 Select one: 1Χ…

A: Given that V1 and V2 are perpendicular to each other. To find The value of a.

Q: Find a particular equation for the DE: y+4y'-2y= 2x -3x+6

A:

Q: ) Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the…

A: i have find Complementary function and particular integral, the general solution is the sum of them.…

Q: Find the particular solution y''-2y'-3y=0; when x=0, y=0, y'=-4

A: It is given that the differential equation  y''-2y'-3y=0,  y0=0 and y'(0)=-4     The given…

Q: Find a particular solution to Ур || y" + 7y + 10y = 15te¹.

A: Given differential equation is y''+7y'+10y=15te4t We have to find a particular solution for it.

Q: Find the general solution of the following 8. (4D² – 6D + 1)y = 0 %3D -

A:

Q: Find the particular solution y" — 4y' + 5у %3D 0; y(0) = 5, y'(0) = 2

A: Given differential equation is: y''-4y'+5y=0 Write auxiliary equation corresponding to differential…

Q: Find the solutions if k = 0 for kx +y +z = K² x + ky+z # -KM = 2 Kx + y kh

A: The given system is                     kx+y+kz=k2x+ky+z=kkx+y-kz=k2

Q: Use the simplex method to solve the following problem. Also verify your an using the dual of the…

A:

Q: Determine y = Yc+yp using Non-homogenous equations: Method of Undetermined Coefficients Given: y" +…

A:

Q: - 2r2- 6y = -2x + 5y %3D he previous step at x = -3.

A:

Q: Find a particular solution to y" + 4y + 3y = 3te". %3D

A:

Q: What are the foci points for the equation 36x2 + 25y² – 144x – 50y – 731 = 0?

A:

Q: 5. How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x +2y+z=1? If there…

A:

Q: Consider the following IVP: y" + 3y' + 2y = 12x2; y(0) = a, y'(0) = b Find the solution.

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Q: B. Find the axis of symmetry for y = 7x – 7x - 5. A. x= 0.5 В. х %3D1.5 C. x = 1 D. x = -7

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Q: Is it true that the solution set for x ≥ 0 is placed above the y – axis?

A:

Q: Find an ordered pair (x, y) that is a solution to the equation. x-6y=6 (x, y) = OD %3D

A:

Q: How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x + 2y + z = 1? If there…

A:

Q: Solve the pollowing vyrtemr of equationN uring matricar a. ex tytz =4 X-24 +32=7 -3x tây-22=-10

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: g(x,y)= 4/4y-6x^2 {(x,y)|y doesn’t equal?

A: Given g(x,y)=44y-6x2 We need to find those values of y for which the function will not exist.

Q: (y³ – 3y + 2)/9 + x²dx + x²dy = 0

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Q: Find the general solution for y' = y – xy³e-2x

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Q: Use the simplex method to solve the following problem. A using the dual of the problem: Max. Z = 40…

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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.