Step 1: The Industrial Revolution began in England during the late 18th century, driven by the rise of the capitalist class that demanded large-scale labor for the growing number of factories and industries.
Step 2: England’s strong financial infrastructure, abundant raw materials, and an expanding workforce played key roles in fostering the Industrial Revolution.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Explain the construction of a spherical wavefront by using Huygens' principle.
The perpendicular distance of the plane \( r \cdot (3\hat{i} + 4\hat{j} + 12\hat{k}) = 78 \) from the origin is __________.