Graph the parametric curves. Include arrows indicating the direction of motion. a. (t, t), b. (sin t, sin t), 0
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
Answer the questions, and please explain the direction of motion and why.
As per the rule we are doing first 3 part of the question:
Here the given curve is parameterized if the set of coordinate (x, y) are represented in the variable t
As x = f (t) and y = g (t)
Horizontal rate of change with respect to time is dx / dt
Vertical rate of change with respect to time is dy / dt
Slope of tangent to the curve dx/dy
Part (a):
The parametric equation is given as: x = t and y = t
Let plug some value of t and plug then into the parametric equation and plug in some t’s.
Direction of motion is given by increasing t, which we can see in the diagram:
Let plug some value of t and plug then into the parametric equation and plug in some t’s.
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