Because they are easy to generalize to multiple different topics and fields of study, vectors have a very large array of applications. Vectors are regularly used in the fields of engineering, structural analysis, navigation, physics and mathematics. They are also used on a case-by-case basis to model out different problems and scenarios mathematically.Know More
Vectors are mathematical constructs that include a length and a direction. They can exist in any number of dimensions. Because of this, they are used to simply yet effectively convey information about objects or situations. One of the most common uses of vectors is in the description of velocity. By using vectors, physicists describe the movement of a car in motion using a simple line on a geometric plane. This same principle is also applied by navigators to chart the movements of airplanes and ships.
Vectors are also used to plot trajectories. The movements of any thrown object, such as a football, can be mapped with vectors. Using multiple vectors allows for the creation of a model that encompasses external forces like the wind. By utilizing vector addition on these different forces, mathematicians create an accurate estimate of the path of motion and distance traveled by the object.Learn more about Calculus
To calculate the discriminant of a quadratic equation, put the equation in standard form. Substitute the coefficients from the equation into the formula b^2-4ac. The value of the discriminant indicates what kind of solutions that particular quadratic equation possesses.Full Answer >
Precalculus is a course that prepares students for calculus classes. Advanced ability with functions, analytic geometry, function representations, algebraic expressions and a familiarity with trigonometry are all part of the scope and sequence for precalculus, according to The College Board.Full Answer >
The best method for dividing polynomials by binomials is through long division. The first step is to divide the highest degree polynomial term by the highest degree binomial term, writing the result above the division line. This result is then multiplied by the divisor with the resulting binomial subtracted from the polynomial. The remaining polynomial is then divided by the highest degree term of the binomial.Full Answer >
The solutions to sin(2x)+sin(x)=0 is 0, 120 and 240 degrees. The sin(2x) can also be expressed as 2sin(x)cos(x), making the equation 2sin(x)cos(x)+sin(x)=0.Full Answer >