equations, math homework help

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Provide solution to the following questions: 1. Evaluate the following: 2. If , then for what value of α is A an identity matrix? 3. The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m. 4. Solve the following differential equation: (x2 − y2) dx + 2 xy dy = 0. 5. Solve system of linear equations, using matrix method. x − y +2z =7 3x +4y −5z =−5 2x − y + 3z = 12
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Provide solution to the following questions:
1. Evaluate the following:

Solution
∫xsin3xdx
f=x g’=sin3x
f’=1 g=∫sin3x dx
Thus ∫sin3x dx =|y=3x, dy=3, dx=1/3dy|
1/3∫cos ydy= 1/3cosy...


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