Suppose f⃗ (x, y)=⟨ex, ey⟩f→(x, y)=⟨ex, ey⟩ and cc is the portion of the ellipse centered at the origin from the point (0,1)(0,1) to the point (7,0)(7,0) centered at the origin oriented clockwise. (a) find a vector parametric equation r⃗ (t)r→(t) for the portion of the ellipse described above for 0≤t≤π/20≤t≤π/2.

Probably the intended ellipse is the one with equation

We can parameterize as a piece of this curve by

with . Then

etc

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.