Solve the following linear equation by Cramer's rule:- x+y+z=3 x + 2y + 2z = 4 x + 4y +9z = 6

Q: sec² (w) - -dw 4w2 +1 10.

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Q: Find x and y if (-3x - 9) + 4i = 6 + (3y - 2)i.

A: Given that,  (-3x - 9) + 4i = 6 + (3y - 2)i To solve for x and y, need to use below property of…

Q: when y = In(2x – 4x). -

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Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: Find the linear equation that is straight through the line (5,5) and parallel to the line 12x-6y=19?

A:

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: Does (2, 2) make the equation y = 3x true?

A: The objective of this question is to determine whether the point (2, 2) satisfies the equation y =…

Q: Solve for fx(-9, 9) and fy(-9, 9). f(x, y) = 5x2 + 8xy + 4y2 + 6x − 9y; (−9, 9)

A: Given:fx,y=5x2+8xy+4y2+6x-9yTo find:→fx-9,9→fy-9,9

Q: dy 4 --v = -r dx 4 P(x) Q(x) = -x³, Linear in 'v'

A: The given equation is: dydx-4xv=-x3px=-4x, qx=-x3

Q: Solve for y in the following linear equation: -- 12y + 3 -5y + - 11 Oy = - + 8 Oy=D -흑 + 2 Oy = - +…

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Q: Find the characteristics equation of x²r+2xys+y²t

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Q: 2 -1 2 2.

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Q: Write an equation in the form Ax + By = C, given that m=3/4 and y-intercept is (0,-4), where A, B…

A: First we will substitute the value of slope m= 3/4 and y-intercept b=-1 in slope-intercept form y=…

Q: The i-component of +t is

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Q: Give the coordinates of the point of intersection of3x + 2y = 5 and 5x - 3y = 21.

A: Given: 3x+2y=5 5x-3y=21 To find the point of intersection.

Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

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Q: Solve (D3-3D2+3D-1)y=x2.ex

A: First we find complementary function then particular integral and then general solution.

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: Solve (D3-3D2+3D-1)y=x2.ex

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Q: 3x + 5y = 4 3 (x, y) = %3D 4/3 %3D

A: We will solve the following equations as fellow:-

Q: 2a - 5y dA, R =(-5,4] x [0, 3] R.

A: