The zero property of multiplication states that if a times b equals zero, then either a or b (or both) must equal zero. It is also called the zero product property.
Know MoreMultiplying any number by zero gives a product of zero. Therefore, if the product of two numbers is zero, one or both of those numbers must be zero. This property may seem self-evident, but it can be very useful for many mathematical processes, such as solving quadratic equations. It is important to note that the reverse process, dividing by zero, is not possible in normal mathematics. This why the denominator of a fraction can never equal zero.
Learn more about AlgebraThe standard form is one of two methods used to solve an algebraic linear equation. It exists in the form ax + by = c, where a and b are coefficients and x and y are parts of an ordered pair.
Full Answer >Orthogonal trajectories are curves in a given geometric plane that intersect another family of curves perpendicularly. A classic example of orthogonal trajectories involves the Cartesian coordinate system's surfaces defined by the coordinates x, y and z, where each surface meets at right angles with the others.
Full Answer >Zero is a real number that comes before the number 1. It is most often defined as a whole number, natural number or a counting number.
Full Answer >The derivative of cos(4x) is -4*sin(4x)while the general derivative form of cos(y) is -dy*sin(y). Since there is a variable contained in the bracket, the derivative of it must also be taken due to the chain rule. Since the derivative of 4x is simply 4, a constant of 4 is placed in front of and multiplied by the -sin(4x) term.
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