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Firstly, we need to express 6cos(2x) + sin(x) in terms of sin(x) 6cos(2x) + sin(x) = 6cos(x+x) + sin(x) = 6cos²(x) - 6sin²(x) + sin(x) (applying cos(x+y) = cos(x)cos(y) - sin(x)sin(y...

x² +2xy–3y²+16=0Differentiate the terms:x² gives 2x2xy is differentiated by the product rule: vu' +v'u Make v = 2x and u = y, which gives 2x(dy/dx) + 2y3y² give...

x=4, y=-2

3x + 1 = 4(2x) 3x + 1 = 8x 1 = 5x x = 1/5

f(x) = x⁴- 4x³+ 4x²
Given the function above, we need to find its stationary points. Its stationary po...