Task 1
you have been selected by an engineering firm to design their newest robotic prototype. as of this moment, it is your job to come up with a purpose for this robot and incorporate types of conic section into its design
Respond to the following questions
1) What will your robot be able to do
2) What conic section do you plan on using in your design? Make sure to use at least 3
Task 2
Choose three of the four conic sections that you learned about in this unit: parabolas, circles, ellipses, and hyperbolas. Make a detailed graph of each one that you intend on incorporating into your design. For each of these graphs, be sure to label important points such as vertices, foci, axes, and directrixes. Also, identify each graph with its equation. Make sure that the equation is the same one that will be used in your final design.
Task 1
1) The robot will be designed to aid in agricultural activities such as planting seeds, watering crops, and harvesting fruits and vegetables. It will be able to navigate through fields autonomously, using sensors to detect and respond to the needs of the plants.
2) I plan on using circles, ellipses, and parabolas in the design of the robot.
Task 2
Circle:
Equation: (x-3)^2 + (y+2)^2 = 25
- Center: (3, -2)
- Radius: 5
Ellipse:
Equation: 4x^2 + y^2 = 16
- Center: (0, 0)
- Major axis: 8 units
- Minor axis: 4 units
Parabola:
Equation: y^2 = 4ax
- Focus: (a, 0)
- Vertex: (0, 0)
- Directrix: x = -a