For parametric equations x= a cos t and y= b sin t, describe how the values of a and b determine which conic section will be traced.

Step-by-step explanation:

x = a cos t, y = b sin t

cos t = x / a, sin t = y / b

cos² t + sin² t = 1

(x / a)² + (y / b)² = 1

If a = b, the conic section is a circle.

If a and b are different, the conic section is an ellipse.

$47.66

Step-by-step explanation:

The cost of the sweater is calculated by multiplying .7 x $35. (70% represents the cost of the sweater since there is a 30% discount.). The sweater cost $24.50.

The cost of the jeans is .85 x $28 = $23.80.

The total cost is $24.50 + $23.80 = $43.80.

The tax rate is 8%, which is calculated by multiplying .08 x $43.80 = $3.86 in sales tax.

Including the sales tax, the total cost is $43.80 + 3.86 = $47.66