Final answer:
To sketch the graph of the parametric curve x=3sinθ+3, y=2cosθ; 0≤θ≤π, create a table of values for θ and plug them into the given equations to find corresponding values of x and y. Plot these points and connect them to get the graph of the parametric curve.
Step-by-step explanation:
To sketch the graph of the parametric curve x=3sinθ+3, y=2cosθ; 0≤θ≤π, we can first create a table of values for θ and plug them into the given equations to find corresponding values of x and y. For example, when θ = 0, x = 3sin(0) + 3 = 3 and y = 2cos(0) = 2. Similarly, when θ = π, x = 3sin(π) + 3 = 3 and y = 2cos(π) = -2. Plotting these points and connecting them with a smooth curve will give us the graph of the parametric curve.