7.) Find a quadratic equation y = ax? + bx +c whose graph passes through the points (2, 6), (-1, 3), and (1, 1).

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

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Q: 5 Solve the following system of equations using Cramer's rule -3x+2y-6z 6 5x + 7y - Sz = 6 x+ 4y -…

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Q: Prove that there are no integer solutions (x, y, z, w) to the equation x³ +y³ 3z²+9w² +3. =

A: The given equation is x3+y3=3z2+9w2+3. We have to prove that there is no integer solution to the…

Q: 2) [3 Solve the IVP: y" - 6y + 8y = 0, y(0) = 0, y' (0) = 2.

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Q: In which form should we look for the particular solution of: Y” + y = x3cos(x)

A: Let y=yc+yp be the general solution, where yc is complementary function and yp is particular…

Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = -4 3x + y - 4z = -6 2x + 3y -…

A: a Given system of linear equation is x−y+2z=−43x+y−4z=−62x+3y−4z=4 Here, A|b=1−12−431−4−623−44 Here,…

Q: 1- Find the interval wherex satisfies the equation: 1 3z12 12 6z 19 ) T 4 D) a 3 Tく1,23 T4

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Q: GIVEN: (xn , yn) = (1, 3), (2, 4), (4, 7), (5, 9) Determine the best-fit quadratic curve that…

A: GIVEN: (xn, yn)=(1, 3), (2, 4), (4, 7), (5, 9) we have to determine best-fit quadratic curve that…

Q: Solve the Cauchy problem y'

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Q: A merchant buys 3 types of goods. The price of type X is 50 TL, type Y is 75 TL and 4. type Z is 20…

A: Given problem is : A merchant buys 3 types of goods. The price of type X is 50 TL, type Y is 75 TL…

Q: 1 To find the number of toys a company should manufacture per day to optimally use their…

A: Given : 0.33330.16670.66670.16670.66670.33331.05-10x1x2x3=75612600

Q: Solve 1 . Find a particular solution to a' = x – y + e', y = -4x + y +t using undetermined…

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Q: Which equation passes through the points (−2,−1)(−2,−1) and (0,5)(0,5)?     1. y=−1 over 3x+5   2.…

A: The given points are (−2,−1) and (0,5) If an equation passes through these points, then that…

Q: Show that the equation (1, 2, 3) × v = (−1, 2, a) has no solutionfor a = −1

A: Consider the given: Given equation:1,2,3×v=−1,2,aLet v=x,y,z1,2,3×v=ijk123xyz…

Q: Find the homogenous linear equations of the following. y = 3e2xsin(3x)

A: Follow next step

Q: Find two linearly independent solutions of 2x2y"-xy'+(-6x+1)y=0, x>0 of the form

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Solve the Cauchy euler equation 3x2+ 6x-6y = 3 + Inx d²y + 6x2-6y = 3 + lnx³ dx3

A: In the given question we have to solve the given Cauchy Euler equation. Method: the Cauchy Euler…

Q: Let (x, Y,) be the solution of the following equations (2x)" = (3y)m3 3Inx = 2lny In 2 %3| %3D Then…

A: Introduction :

Q: 1 1. Solve 8x? +1=--x by using graphing calculator. EDITOR Y = Y, = WINDOW [ ] by [ SOLUTION(S)

A: 8x2+1=-(1/2)x

Q: Suppose the prices of the commodities A and B are p1 and p2 respectively. The consumer purchases X1…

A: We are given the price of commodity A is p1 and the price of commodity B is p2 Now, X1 units of…

Q: 1. Solve the following system of equations, representing your solution parametricairy x₁ + x₂ + x3 =…

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Q: quadratic form 1.) 2xy+6xz-4yz 2.)x2+y2+z2+2xy

A:

Q: A) S(x)=- у-аxis 4. 3. X-axis .6 -5 4 3 -2 -1 4. -2 -3 -n of unis O fx)= *-2x-3 x-2 у-аxis 64 х-аxis…

A: Given the two functions: 1. f(x)=x-2x2-12.f(x)=x2-2x-3x-2 We need to sketch the graph and find the…

Q: 3. Which equation passes through the point (1, -2) and is perpendicular to y = x O y = 3x - 1 O y =…

A:

Q: Write down all of the product solutions satisfying: и +иу —D 0, 0 <x<2, 0<у<1. %3D u(х,0) — 0, и,…

A: Note:- As per our guidelines, We’ll answer the first question since the exact one wasn’t specified.…

Q: b) Find particular solution of х*у %3D- (х* - 1) у, У(1) %3D 1.

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Q: 11 Find the equation of the line passing through the points (2, 2) such that the sum of its…

A: The equation of a line, whose x-intercept is a and y-intercept is b , is given by x/a + y/b = 1 .…

Q: x2 + 4y? – xy + 6x – 5y + 1. -

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)…

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

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Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general solution;…

A: We have to transfer the following Cauchy-Euler equation to a constant coefficient equation and hence…

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: Find the Particular Solution indicated. (Homogenous Linear Equation with Constant Coeffiecients)

A: Given : Homogenous Linear Differential Equation with Constant Coefficients               D2+D-12y=0…

Q: 7. Solve the following system of equations graphically on the set of axes below. y = --x - 8 y =7x+6…

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Q: 2. Obtain the solution set of z* - j3z² – 2 = 0. (Hint: factoring and quadratic formula)

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Q: (a) Solve the following linear equation by Cramar's rule:- x - y + 2z = -4 3x + y - 4z = -6 2х +…

A: We have given equation x-y+2z=-4 3x+y-4z =-6 2x+3y-4z=4 Matrix representation of equation  AX=B…

Q: Solve for the 'z' with the given below in system of equations: Equation 1: x + 2y + 3zi = 20 + 5i…

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Q: utilize the characteristic equations method to solve the equation y''-5y'+3y=0 y(0)=3, y'(0)=-1

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Q: The maximum number of linearly independent solutions of y" -2y"'+xy = 0 is 3. Select one: True False

A: y''''-2y'''+xy

Q: Differentiate the following linear and non-linear equations, and give a reason that why its near or…

A: Disclaimer: Since you have posted a question with multiple questions, we will solve the first three…

Q: 2xy y' + 2x² x' = y² x'

A: Given: 2xyy' + 2x3x' = y2x' ⇒2xydy + 2x3dx = y2dx ⇒2xydy- y2dx=- 2x3dx

Q: The method of solution of the Cauchy - Euler equation is to try solution of the form y=x" ulgo ihs O

A: Answer

Q: Solve for the 'x' with the given below in system of equations: Equation 1: x + 2y + 3zi = 20 + 5i…

A: We need to solve for x the given system of equation.

Q: Show that ysecc) is a solution to i y"-2tanG)y 0, and use reduction of order to find a Second,…

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Q: 30. What value of b will make the system y 3x + 2 and y 3.5x+b intersect at the point (2, 8)?

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Q: Solve the following by using Higher-Order Diffential Equations-Homogenous Linear Equations with…

A: Given that     (D5+D4-7D3-11D2-8D-12)y = 0

Q: : Given the equations Зх, — 2х2 + xз --10 2x, + 6x2 – 4x3 = 44 -X1 - 2x2 + 5x3 = -26 %3D Solve by LU…

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