The length of a rectangle is 4 meters less than 3 times the width. The perimeter is 56 meters. Find the width.
The four brothers in the Sceppa family have ages that are consecutive even integers. If the product of the ages of the two middle brothers is 360, how old is the oldest brother?
Q.6) Show that the point (2, 4) lies on the curve x^3 + y^3 - 9xy = 0. Find the tangent and normal to the curve there (Figure 1).
Consider the vector space P2(R) with inner product <p,q> = ∫ p(x)q(x)dx. Show that 1.p = x, q = x^2 are orthogonal. 2.||p + q||^2 = ||p||^2 + ||q||^2
Create a graph that models the bordering relationship among the states shown in the map. Use vertices to represent the states and edges to represent common borders: