Answer:
Step-by-step explanation:
x = cos θ + sin(10θ)
y = sin θ + cos(10θ)
Take derivative with respect to θ:
dx/dθ = -sin θ + 10 cos(10θ)
dy/dθ = cos θ - 10 sin(10θ)
Divide:
dy/dx = (dy/dθ) / (dx/dθ)
dy/dx = (cos θ - 10 sin(10θ)) / (-sin θ + 10 cos(10θ))
Evaluate the derivative at θ=0:
dy/dx = (cos 0 - 10 sin 0) / (-sin 0 + 10 cos 0)
dy/dx = 1/10
Evaluate the parametric functions at θ=0:
x = cos 0 + sin 0 = 1
y = sin 0 + cos 0 = 1
Writing the equation of the tangent line in point-slope form:
y - 1 = 1/10 (x - 1)
That’s the answer your welcome
Cost per ounce means you take the cost and divide it by the cost:
<span>3.36 / (21/2) </span>
<span>division of fractions changes to the multiplication of the reciprocal: </span>
<span>3.36 * (2 / 21) </span>
<span>3.36 and has 21 as a factor, so let's cancel it: </span>
<span>0.16 * 2 </span>
<span>$0.32 per ounce</span>
Answer:
3
Step-by-step explanation:
A direct variation is of the form
y = kx
We know x and y so we can find k
81 = k *27
Divide each side by 27
81/27 = 27k/27
3=k
The constant of variation is 3
