Solving a Quadratic Equation In algebraic mathematics, a quadratic equation is a special case of a polynomial equation. When the degree of a polynomial equation is two, then it is called the quadratic equation
A parabola is the graph of a quadratic function y = ax2+ bx + c. We obtain the quadratic equation of best fit by using quadratic regression (STAT/CALC/5:QuadReg/VARS/Y-VARS/1:Function/1;Y1/ENTER). Note that r2 = .997 here, so we expect a very good fit: y = .402x2− ...
Answer to: Consider the equation below. 3y^2 + z^2 - x - 18y - 6z + 36 = 0 Reduce the equation to one of the standard forms. Sketch the graph. By...
A quadratic function is given by the general equation {eq}f(x)=ax^2+bx+c {/eq}. The previous equation can be written in vertex form as {eq}f(x)=a(x-h)^2+k {/eq} where {eq}(h,k) {/eq} is ...
Answer to: Consider the function h: R right arrow R given by h(x) = 3 + |x - 3| + |x - 2|. Find all points x where h is not differentiable. By...
Answer to: Consider the function F given by the following expression: F(n,k)=min{2n,k} where n and k are numbers. Here min{2n,k} is the minimum of...
Consider the graph of f′, the derivative of a continuous function f. Determine the value of x where f has local maxima. Identifying Local Maxima Using the First Derivative Graph: By looking carefully at the graph of the first derivative of a fun...
3.Express the result as an ordered pair. Answer and Explanation:1 Given: f(x)=−x2+2x+8 Our objectiveis to Find the(x,y)coordinates of they-intercept. First, we must... Learn more about this topic: Finding the X & Y Intercepts of a Functi...
Question: A −1 Diagonal Matrix: The inverse of a diagonal matrix is possible only when the value of the diagonal elements are non-zero. If the value of any diagonal elements are zero then the diagonal matrix is not invertible. Answer and Explanation:1 ...
Here, the sum of kinetic and potential energy is constant throughout the journey if we neglect friction loss. Answer and Explanation: Given Data: - The system is closed The given equation is: Etot=KE+PE Here...