Let f(z) 1 - 6r + 1 and g(z) 6. Determine 3f (2) - 29(z). In the space provided, type the coefficients of your final solution in az? + bz + c form. 3f(z) – 2g(z) =

Q: Rewrite c(x) = (x ^ 2 + 5x + 2)/(x - 3) in the form y = q(x) + (r(x))/(b(x)) has degree less than b.

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Q: Q-6: Find the maximum product of two positive x and y such that 2x + y = 100.

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Q: Find the real valued general solution of y" + 5y = 0. %3D

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Q: 3. JX)=3X - g(x)=35x-30X+3 are ortnogonai each ther on [-1, 1].

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Q: Let h(x) -222+z+4 %3D ,what is h' (-5)? 2+4z-1

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Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

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Q: السؤال الرابع: جد ناتج أحد التكاملين التاليين 1-y² 2-x2-y2 2- So So zdzdxdy

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Q: -X - 2xe 73Xs =l =10. %3D Jordan elimination

A: Topic :- Matrix

Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: . Solve the yn+2+4Yn+1-5Yn coefficients = n2"+2" using method of undetermined

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Q: What is the particular solution for y′=−2e^x−3x^2+x−4 such that y(0)=1?

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Q: i) -21y² + 4xy + z². k) 424-20³-96x². j) 21²-201-22. 1) z²z+13x+36z.

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Q: Solve this problem using the indeterminate coefficients method: y" +2y' + y = 2cos(2x)+3x+2+3e^x

A: Given: y"+2y'+y=2cos(2x)+3x+2+3ex

Q: Consider (D3 + 3D² + 2D)y = 3x2 + 5x + 9. Using method of coefficients, what is y A y = 6x – x2 + 2…

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Q: (a) First find the general solution of y" – 5y + 6y = 2e* (3) by using the Undetermined Coefficient…

A: Introduction: A higher-order linear non-homogeneous differential equation has two solutions. One is…

Q: Find Y in (D^2 - 6D + 8) y = 8x^2 - 12x + 2 + ye^x using METHOD OF UNDETERMINED COEFFICIENTS

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Q: Proivde general solution of the given ay'' + by' + cy = 0 and b^2 - 4ac > 0

A: ay'' + by' + cy = 0 and b2 - 4ac > 0 We need to provide the general solution of the given…

Q: Find all solutions of x2 - x + 2 = 0 over Z3[i].

A: Given: Z3i=a+bi|a,b∈Z3       =0, 1, 2, i, 1+i, 2+i, 2i, 1+2i, 2+2i We have to find all solutions for…

Q: Find The values of Kr4.Z) 오X+34-24 3x+4+27313 X+2°4-5Z=-14

A: First, write the given system of equations in Matrix form after that use Gauss Jordan elimination to…

Q: (c) Express the quadratic form Q(x1,42. 43) = 6xj + 3x+3x-4xx2 - 21213 + 4xar1 to the sum of square,…

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Q: Find the two conditions on b1, b2, and bz which determine solvability of 4 8. 3 4 =6= b2 -6 -7 -8 b3

A: The objective is to form the equation involving b1, b2, and b3 that determine the solvability of the…

Q: Find the general solution of x2y′′+ 10xy′+ 8y = x2 on (0,∞).

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Q: Find a general solution to the DE (D^2 + D - 6) y = 5e^2t by using the Reduction of order

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Q: y" -4y' + 13y :

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Q: Q(2): Find the general solution of x³y" – 3x²y" + 6ry' – by = xª In x. %3D

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Q: Compute the quadratic form 1/3 x'Ax, when A = 1/3 [s 5 and X1 а. х%3D X2 -[:] b. х%3 c. x= 3

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Q: If V = 4i + 3k and V2 = -2î + ĵ + 5 k. Find V1 - V2

A: Explanation of the solution is given below...

Q: Find : a =? b) Find PMF of z= x² 4 1 4 9 a a a a a a -3 -2 -1 0 1 3 2.

A: (a) finding the value of a ∑PX=x=1

Q: Eliminate the arbitrary constants from the following equations. x2 = axy + by

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Q: Q1: Find the general solution of the y - 4y - 5y = 2sin2 x

A: Given differential equation is y''−4y'−5y=2sin2x. We have to find the general solution of the given…

Q: Show if z = 2 + 4i satisfies z? – 4z + 20 = 0

A: To show that a value or number satisfies an equation, we substitute the value in the equation and…

Q: 5. Find the second solution by reduction of order method: (1- 2x? y" + 4xy' – 4y=0 y, (x)=-2x

A: Differential equation and it's solution

Q: Determine (fg) (z) if f (z) = 5-2z and g(z) 3z +1 In the space provided, type the coefficients of…

A: Solution...

Q: Given that y= (2e - 6x +5) , show that y-

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Q: 3. Verify that 3e 2x + 4e* is a solution of the y"-3y'+2y=0.

A: We have to verify if the given is a solution to given differential equation or not.

Q: Q1: Determine if a +b+c+d=10 where a, b, c, d ER are such that: 6x³+3x²-5 -1 2a x-l + 3b x+1 + cz…

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Q: Suppose the PMF of X is given by: Px(x) = 712|1-4,-1,2)(X) + > a) P(-1 <X< 2) b) R(Y 0) %3D d)…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: Q3/ If Ā = -3i + 2j + 5k, B = i + 2j - k and C = -i-j-2k %3D find (AXB). C

A: Let's see the concept of dot and cross product. Say xi+yj+zk and ai+bj+ck be two vectors.

Q: -3 Show that y(x) = -9x7 is a solution to 4x²y" + 12xy' + 3y = 0 for x > 0. %3D

A: We will show in step 2.

Q: = (y² – z² +3yz – 2x of the following is/a

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Q: is the minimnurm step of the horno gone ous n What X+ xt 2-X ifferential equatian with its solution…

A: The objective is to find y=x2e-x+x3+x2what is the minimum step of the homogenous differential…

Q: f (2) 2. Find if Ar) -(1-x²)(* -1) =

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Q: 3 1f y=/xL5x²–3. x_3x²+¥x- 3, X25x²-3 huw that dy 24 ||

A: We have,  y=x4-5x2-36x3-3x2+4x-124

Q: 30. Find the standard form of the equation. 64x² +896x+4y² - 8y +2884 = 0 (x-1)° , (v+ 7)* = 1 4 64…

A: We have to find the standard form of the given equation 64x2+896x+4y2-8y+2884=0 .

Q: B (m,n) = xm-1 (1-x)"-1dx %3D

A: Using the definition of Beta function  Bx, y=∫01tx-11-ty-1dt                  1

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

A: Given,          yx=x2-23x+2

Q: What

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Q: Shon in Question 1.a find your mista y= -2x + 1 y3 -2x +3 y 2. -

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Q: ở z laya-2.-1) given thatw= In(5x + 2y³ – 3z). B.

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