Solving Identity Matrix, Gradient of Tangent and Differential Equations (Math Problem Sample)
solved mathematics problems
Provide solution to the following questions:
⦁ Evaluate the following:
⦁ If , then for what value of α is A an identity matrix?
⦁ The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m.
Gradient of tangent to the curve is the differential of y2 = 4x hence gradient = 4
Thus m = 4
⦁ Solve the following differential equation: (x2 − y2) dx + 2 xy dy = 0.
Provide solution to the following questions:
1 Evaluate the following:
2 If, then for what value of α is A an identity matrix?
Solution for identity matrix of A = matrix A
A-1 =
3 The line y = mx + 1 is a tangent to the curve y2 = 4x .Find the value of m.
Gradient of tangent to the curve is the differential of y2 = 4x hence gradient = 4
Thus m = 4
4 Solve the following differential equation: (x2 − y2) dx + 2 xy dy = 0.
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