30P- ) (04 +80? -9)y-9x? + 5oin 2x

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: Show that rejst =rcjs(-0)

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Q: Which equation has no real Solutions? Ax+2x+l=0 7. +2x+1%=0 BX+4x+2=0 ©*+5x+7=0 6x+ 6x+8=0

A: For real solution check the discriminant of all rhe quadratic equation.

Q: Solve the equations for x . ax +2x =a x = if a ≠ −2.

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Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15?

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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: [20] Find the general solutions of 4y" – y = 8et/2 2+ et/2

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: 12. Show that the equations p² +q? =1 and (p² +q³)x= pz are compatible and hence find its solution.

A: The equation are, p2+q2=1    ⋯1 And p2+q2x=pz                    ⋯2 To show that these equations are…

Q: y"- y' = 4e-* +3e2x: y(0) = 0,y'(0) =-1, y"(0) = 2

A: We have to solve the equation using method of undetermined coefficient.

Q: 1. x3 – 2x2 – 5 = 0, [1,4]

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Q: 4. As an engineer and a scientist, a research has been conducted and the problem has been modeled…

A: We will find out the required maximum value for given objective function.

Q: Determine whether y, = 3e2t – e-3t and yz = 2e-3t – 6e2t form a fundamental set of solutions. HOW…

A: We have to determine whether the given set of solutions y1 and y2 form a  fundamental set of…

Q: 2 2] 2. Solve for x, y and z. -5 6

A: We will solve the problem

Q: if x(t) = tsin(3t) is a particular solution to the equation x" + qx = cost3t, then q = -9. Is that…

A: The given differential equation is: x''+qx= cos t (3t) From the hypothesis, x(t)=t sin (3t) is the…

Q: The equation COSs (x) = 1 has infinitely many solutions. True False

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Q: ] Prove that the equation 2" – x = 1+ 4/x has a solution greater than 0.

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Q: discuss the nature of the quadratic equation form  x2+4xy+6xz-y2+2yz+4z2

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Q: (9) Does the equation r2 - 31y² = -45 have a solution? %3D in itegers please

A: The set of all (x,y) that satisfy an equation, y=f(x) are the solution of the equation.

Q: 2.a) Eliminate the Arbitrary Constants in the equation: y = 2C1cos(20) + C2sin(20)

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Q: Use undetermined coefficients method to solve а. у" — бу' + 9у %3D — 12е3х + бх2 + 2 =

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Q: By using Euler method, Solve these questions 3.3 2 2 XD² + 2XD + XD=Y=6

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Q: 3.1 - $192, p = $800, t = 4 yrs (solve for r) %3D

A:

Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

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

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Q: What is the particular solution for y′=6ex+7x3−7x+1 such that y(0)=−4?

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Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

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Q: a) Use variation of parameters to solve: ex' = *+[')- 2. tX' 13 -2. 2t

A: Since you asked two separate questions as per our guideline we solve only ine fir you and please…

Q: 5. Find general solution yu -Gy? +10y" = 0 %3D

A: Y(X) = c1+c2x+(A sinx+ B cosx) e3x Where c1,c2, A, B are constants.

Q: 4. a) How many non negative integer solutions exist for the equation w+x+y+x= 80. b) If w = 8, now…

A: Solution are:-

Q: 4. Which is the solution to the equation 2sin22x + 3sin2x + 1 = 0, x = 6

A: Substitute p for sin 2x in the equation and then solve for p. Factorize the equation by first…

Q: 6) Find solution of the particular y"-2y'+y=x²-6x+ 2x

A: 6)Here the given differential equation is y''-2y'+y=x2-6x+2xe2exlet y=emx be the trial…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax2 + bx + c = 0 is --…

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Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4x = 1 in…

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Q: 29 Find all the solutions for the equation below. 1 5 (x – 3) + 11x = (15х — 3) 3 - - - ||

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Q: 2. Use undetermined coefficients method to solve 1 yi = 4yı + 2 - 3e", y2 = 9y1 + 6y2 + 10e'.

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Q: Solve by finding rref form x+2y+z=6 2x-z=4 y-4z=2

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Q: Using intermediate value theorem, the equation x³ - 3x - 15 = 0 has a solution over 12,3[ O13,4[…

A: Given x3 - 3x - 15 = 0

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

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Q: y"-y-4e-x+3e2x; y(0) - 0.y(0) --1.y"(0)-2

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Q: 3 x + 2 1 x - 1 x +3 A = 3 4 a1,2 + a3,3 Mat x =?

A: x = -6

Q: 3. Use the Intermediate Value Theorem to show that there is a solution of the equation, ³-4r = 1 in…

A: Explanation of the answer is as follows

Q: 4. Which of these stnadard form equations is equivalent to (x+ 1)(x-2)(x+4) (3x+7)? O x* + 10x +…

A: value=?

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 is whereas…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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

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Q: 2. Suppose U(x1, x2) X1X2 + X1 + x2 +1, and the budget is described by x1 + 2x2 = 30, solve for x;…

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Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15, such that w =…

A: We need to find the number of non-negative integer solutions are there of the equation: x + y + z +…

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: Question 5. Find the general solution of t²x" + 3tx' - 3x = t² when t> 0

A: