Consider the curve C given in parametric equations as 3t2et C:, = 4arctan(t) 4 arctan(t) (a) Find the tangent and the normal lines to the curve at the point of the curve corresponding to t = 1. (Note: you do know what the exact value of arctan(1) is.) (b) Find the points on the curve at which the curve has a vertical tangent line, and the points at which it has a horizontal tangent line. (Note: in class, we did mention how to find the values of t for which a curve C with parametric equations has vertical or horizontal tangent line.) dx (c) Find an expression for dy (that is, the derivative x'(y(t))). (y(t)), the (implicit) derivative of r with respect to y, as a function of t
Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
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