It's something like that yes. Imagine letting t run from small values to larger ones and for each t, the system gives you a point. Looking only in the x-direction, you'll get the standard line x = t, similar for y and in the z-direction, you get the standard parabola.mr_coffee said:thanks for the responce, TD... How can i graph that? like can i just do a straight line on x axis, then on y axis, then a parabola on z?
Calc III, short for Calculus III, is a college-level course that typically covers advanced topics in multivariable calculus. It builds upon the concepts learned in Calc I and II, but focuses on functions of multiple variables and vector calculus.
Calc III is used in many fields such as engineering, physics, economics, and computer graphics. Some specific applications include optimization problems, calculating volumes and surface areas of 3-dimensional objects, and analyzing vector fields.
To graph a limit in Calc III, you first need to understand the concept of a limit in multiple dimensions. You can then use techniques such as plugging in values, creating a table of values, or using technology like a graphing calculator or computer software to plot the limit. It may also be helpful to sketch the graph of the function to visualize the limit.
A vector field is a mathematical concept that assigns a vector (usually with both magnitude and direction) to each point in a given space. In Calc III, vector fields are used to represent and analyze physical phenomena such as fluid flow, magnetic fields, and gravitational forces.
Some tips for succeeding in Calc III include staying organized, practicing regularly, seeking help when needed, and understanding the underlying concepts rather than just memorizing formulas. It is also important to review the material from previous calculus courses and have a strong foundation in algebra and trigonometry.