14. What is the value of a in the quadratic function y = 5æ? + 7x – 10? - O y O -10 O 7 O 5

Q: ++3y 15 Solve: 2x-y? = 2 %3D

A:

Q: 10. Solve IVP: 3y" + 2' + y = 2e ', y(0) = 1, 3/(0) = 0. -t

A: For given differential equation,   We have to find solution with given initial values.

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

A:

Q: 14. If f(z) = 2 + z² – zª, then the equation S(x) = 0has a solution on the interval A [1,2] B (0,1]…

A: We will make use of the fact that for f to have a solution in an interval it must be that f has…

Q: 2. Eliminate the arbitrary constants a and b from the following equations to form the PDE: (a) ax? +…

A:

Q: Solve for the General Solution of the given first-ordered Lineor DE : X lx² +1)y'+2y= (x?+1) %3D

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: 15. Let 2 √x 4 3/2 y' = 2y + 2xy' 13/2 Solve for y' when x = 1 and y = 4

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 and y=4

Q: 6. Find the particular solution of ydx – 4xdy = y6dy; where x = 4 and y = 1.

A:

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: Solve a & b with given A[r = 3x şax+ (y + z + 3) Ay +(6x - z³) a₂] where: np = ax + 4ay - 2az 2+y³

A: Given

Q: Show that y = 5x2 + 2 is a solution to the DE xy' +(2)/(5) y" = 2y.

A: To show: y=5 x2+2 is a solution of differential equation xy'+25y''=2y

Q: 14. If f(z) = 2 + ² -r', then the equation S(z) = 0has a solution on the interval A [1,2] B (0,1] c…

A: Given equation, fx=2+x2-x3, To find the interval on which the equation fx=0 has a solution.

Q: Solve for x 16. 2x 5_ 5x - -= 17. z = x-u 3 6 19 & 20 Graph the Solutions 19. 2х — 1 <8-х 20. 4 – 2x…

A: 16. The given algebraic equation is, Now perform the following algebraic operations to solve for…

Q: Find the extreme values of f(x,y) = 3x + 2y? subject to the constraint x + y? = 1.

A: Lagrange multipliers method: First, solve the following system of equations: ∇fx,y=λ∇gx,y. Then,…

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

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: 2. Select the quadratic equation of the graph below AND JUSTIFY YOUR ANSWER. a. y = (x+2)² +1 b. y =…

A: we can easily seen that in the graph when x=0 then y=2 and  when x=-2 then y=1 these points satisfy…

Q: 7. Using your answer to the previous problem, find the general solution to the problem x²y" + xy +…

A: we use the method of variation of perameter to find the particular solution

Q: 3. Find the number of non negative solutions to x +y + z + w = 21.

A:

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

A:

Q: A business determines P(40) = 3000, %3D P'(x)0 where P(x) is the profit in thousands of dollars at a…

A:

Q: Q P 17. What is the standard form of the quadratic function y = (x + 2)² – 4? O y = x² + 4x + 8 O y…

A: This question is related to standard form of quadratic equation, We will solve it using given…

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

A:

Q: 2. Find the general solution of d'y d'y + 12 dr Sy 21e dr

A:

Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

A:

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

A:

Q: 1. Find two nonnegative numbers whose sum is 30 and the product of the square of one (z) and the…

A: Given,  x and y are non negative numbers  x + y = 30  We have to find the number x such that x2y3 is…

Q: 4. The axis of symmetry of y = 8x(x + 90) is a. x = 0 b. x = 45 C. X = -45 d. x = 90 e. x = -90

A:

Q: 3.a) Eliminate the Arbitrary Constants in the equation: y = C1sin(2x + C2) y" + 4y = 0 у' — 4у%3D0 O…

A:

Q: 2. Eliminate the arbitrary constant on the given equation: y C12² + C2e'

A: Given that            y=C1 x2+ C2 e-x  ...................i  Differentiate , we get           y'=2C1…

Q: 2. A store has requested a manufacturer to produce pants and sports jackets. For materials, the…

A: We will find common solution region of given in equation  x+1.2y≤6602x+y≤1026x≥0 ,y≥0

Q: What is the particular solution if y(1)=0? 1/2 xy = y + (x² + y³)"

A:

Q: Solve : a + x – 3 y + z = 2 -5 a + 3 x – 4 y + z = 0 a + 2 y – z = 1

A: Explanation of the answer is as follows

Q: 14. If a || b, solve for x for y. (13r-27) (9y + 19) (10r+ 6)

A: x = 11o &amp; y = 5o

Q: 22. Find the point of intersection between the following two lines. 4:x-2=-2 = z-3 and L:2į +3 j+ 4k…

A:

Q: 2 4. The function y = x² +10x+25 the y-intercept is (0,25) 5. The only root of the equation 2x²+x=0…

A: Given :4. y=x2+10x+255. Root of the equation : 2x2+x=0

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

A: x = -6

Q: 1.) Solve for x.' a.) ;x2 + 3x + n = 0 b.) 6x² + x – 2 = 0 Bonus 1. If x? + y? = 25 and x – y = 7,…

A: (a)       12x2+3x+π=0x=-3±9-4.12.π2.12  =-3±9-2π1  =-3±9-2πorx=-4.6483, -1.3517

Q: Find the quadratic function y = ax? + bx + c whose graph passes through the points (-1, 2), (1, 8),…

A: Given: (-1,2),(1,8) and (2,14) To find the quadratic function

Q: What is the solution to 2x2 + x +2 = 0? O A. 1+iy15 O B. 1 iy15 2. O C. 1+y15 4. O D. 1+15 4.

A: solution of quadratic equation can be found using standard formula

Q: 22. What is the standard form of the equation x2 - 36y2 - 20x + 64 = 0? (x-10)2 a. - y? = 1 c.(x –…

A:

Q: 1 The function y= is a solution of 4x?y" + 12xy' + 3y = 0 for x > 0 A) True B) False

A: The given function is, The given differential equation is, If a function is a solution of a…

Q: 2. LOQ Graphically solve each of the following. (a) 3x + y = 6 and x - y = 2 (b) x + 4y = -8 and 3x…

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Q: Show that y = c1ex + c2e-x + c e + 3 is a solution of y ||| -2y | | - and | + 2y = 6 (justify).

A:

Q: dy 1. (y–1)(y² +1)

A:

Q: 1. Solve the following: |x - |X-4| (a) , 2 3 -- (x – 3) < 1 <1 (c) 3 (d) 6z – 9 – z? < 0 (e) 3t?…

A:

Q: 4. Solve the following table using the Direct method of quadratic interpolation. t(s) v(t) (m/s) 10…

A: Given: t(s) 10 15 20 v(t)(m/s) 115 250 450   For quadratic interpolation velocity is given…