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The mean height of all the students is 1.48m which means that the total height of all the students is 30 * 1.48m = 44.4m. The contribution due to the boys is 14 * 1.52m = 21.28m. Therefore the total heigh...

2s = d/t. Multiply both sides of the equation by t to give 2ts = d. Then, divide both sides of the equation by 2s to give t = d/2s.

We can find dz/dy using chain rule dz/dy=dz/du x du/dy (1) by defining u=3y^2+5 (since the exponent of e is a function of y we call this function u) and rewrite z=e^u. Then, we find dz/du=e^u (2) and du/d...

This function is fraction so the easiest method is to use the quotient rule (though the product rule can be used). Recall the quotient rule dy/dx = [vu' - uv']/[v^2]Note, u and v refer to the numerator a...

To begin with,for every line ax+by+c=0 the gradient is m=(-a)/b.From theory, it is known that two lines are parallel only if their gradients are equal. For line 1: y=3x-2, it implies that 3x-y-2=0(we just...