Observe the equation below: x"+9x'+6x+7=0 The above is a second order ODE into a 1st order system comprised of 2 equations. Utilize y for x'. In the blanks provided, put in the coefficients: x= y'=_ _x+.

Q: If possible, write -1- 12x8r² as a linear combination of x -x², 2x + x² and 2x 1 + x². Otherwise,…

A: Let U={u1,u2,⋯,um} be m vectors of a vector space V. Let v∈V(F) then v can be expressed as linear…

Q: (3x-1)2/x+1

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Q: Reorder the equation y=x^2-4x+3 into the form y=(x-h)^2+k

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Q: (w+6)^2=30 w=

A: Solve the given equation for ‘w’. This equation can be simplified to form a quadratic equation.

Q: Find two First terms whose product is 3x. 3x? – 13xy + 4y² = (3x ?y)(x ?y)

A: Given that, 3x2-13xy+4y2=3x    ?yx   ?y

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Q: r 12 x2 - 5x +6 2. y = x² +1 -12

A: Evaluate the definite integral

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Q: -8y-9(2y²)°(4y¬8)-2

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Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: x + ax – 2bx - 2ab – x - 2ax - 2bx dx x* + ax? – 2bx² – 2abx?

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Q: In(x3 () Vx²_2X %3D domain

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Q: -5 4x If possible, write -5 - 4x - 2x² as a linear combination of 2 - x + x²,-2-x² and x - 5 2x².…

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Q: xdx = ? (ах + b)(сх + d)

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Q: [-3i-2j]-[-2i-5j]= ◆ 2 + j

A: We have to find the subtraction between the given vector functions. We have, -3i→-2j→--2i→-5j→

Q: (4x³y-$z+)(-2x-3 y7 z?) =D

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Q: 3n y = त

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Q: 21/x - x = 4

A: To solve: The equation 21x-x=4. Calculation: The solution of equation 21x-x=4 can be obtained as,…

Q: Let f(x) = 7x? 7x +3. Calculate and simplify the following expression where a + 6 f(b) – f(a) b- a |

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Q: VT-x =x - 5

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Q: ID 2 = {(Xy) 2x=7

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Q: If possible, write -6- 19x - IIx" as a linear combination of -1 - -619x11x² = (-1-x-x²)+ (1 + 2x +…

A: Write -6-19x-11x2 in the linear combination of -1-x-x2, 1+2x+x2 and -1-3x-2x2.

Q: Rewrite the following in the form y=a(x-h)^2+k   Y=x^2+7x+10

A: Rewrite the equation in the form of y= a(x-h)2+k.

Q: 13 + 6/y when y=6

A: To evaluate the below expression when y = 6. 13+6y

Q: 10. Find the first three terms (10 Points)

A: Given data, an= -21+9n First term of the  series, n=1 a1= -21+9 = -12 Second term of the series, n=2…

Q: 1 dx D x(x*+ 1) Select one: a. x2 In +C b. In 2+1 C. In + 1 d. In 4 + C

A: Solution

Q: Find y  y^2 - 81 = 0

A: