Parametrics + Arclength

Arclength

100

Set up an integral to find the arclength of:

y=x^2/2+x

From x=0 to x=4

int_0^4sqrt(x^2+2x+2)dx

200

12.75

Parametrics

100

Paramaterize a line that passes points (1,2) and (3,5)

x(t)=2t+1

y(t)=3t+2

200

Parametrize a circle of radius 2 centered at the point (2,1)
 Give the x(t) and y(t)

x(t) = 2cos(t) + 2

y(t) = 2sin(t) + 1

Calculus w/Parametrics

100

Find the exact slope of the tangent line to the parametric curve 

x(t)=9⁢cos⁡(𝑡)    y(t)=2⁢sin⁡(𝑡) 

at the point where 𝑡=𝜋/6.

200

Determine the equation of the tangent line at 

𝑡=25 for 

x(t)=sqrtt

y(t)=4t

y=40x-100

SPT Trivia

100

Devin once catered ~90 servings of dessert for an event. There were 3 dessert options, each team gets 3 guesses, each dessert you get correct is worth 33 points.

Lemon Bars

Cheesecake

Chocolate Cake

200

Which SPT was a WILD CHILD who jumped from his grandparents chair at the age of 3, resulting in him now having a hole in his tounge.

Lou