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(1) 4x² + y² - 25 = 0 (2) y - 2x - 1 = 0
Rearranging (2) into an equation of y in terms of x we have:y = 2x +1
now substituting into equation (1) 4x² + (2x +1)...

2y^1/2 -7y^1/4+ 3 = 0 We need to use a substitution to obtain a quadratic.Let y^1/4 = x (use the y with the smallest fractional power as your substitution)From this, we can s...

The sliding filament theory demonstrates how the muscles in our body contract. As a signal reaches the neuromuscular junction (motor end plate), neurotransmitters such as Acetylcholine will diffuse across...

The product rule states that if y=uv, where u and v are both functions of x, then dy/dx = u(dv/dx) + v(du/dx)Therefore, the differential of 2xe^3...

Sustainability in cities involves improving and developing cities whilst preserving the environment and resources. Sustainable cities must control the use of resources. This can be done by improving the e...