Answer:
A.) k=0.5
Step-by-step explanation:
If we use the formula given: y=kx, we can plug in values.
0.5=k(1)
0.5=(0.5)(1)
0.5=0.5
We know that to get from 1 to 0.5, we need to divide by two, or multiple by 1/2. 1/2 in decimal form is 0.5
Explanation is given step by step just below:
tan(theta(t))=y(t)/x(t)
differentiate
sec^2(theta(t))*theta'(t)=y'(t)x(t)-y(t)x'(t)/x^2(t)
thus
theta'(t)=(y'(t)x(t)-y(t)x'(t))
divided by (x^2(t)*sec^2(θ(t))
