Question

PREVIOUS ANSWERS LARCALC12 12.5.005. Sketch the plane curve. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = t³i + t²j, [0, 1] t x y 0 0.5 1 Update Student Response Graph Graph Find its length over the given interval. $\frac{13\sqrt{3} - 8}{27}$ Student Response Graph Description y 1.5 1 0.5 -0.5 0.5 1 1.5

          PREVIOUS ANSWERS
LARCALC12 12.5.005.
Sketch the plane curve. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)
r(t) = t³i + t²j, [0, 1]
t
x
y
0
0.5
1
Update Student Response
Graph
Graph
Find its length over the given interval.
$\frac{13\sqrt{3} - 8}{27}$
Student Response
Graph Description
y
1.5
1
0.5
-0.5
0.5
1
1.5

PREVIOUS ANSWERS
LARCALC12 12.5.005.
Sketch the plane curve. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)
r(t) = t³i + t²j, [0, 1]
t
x
y
0
0.5
1
Update Student Response
Graph
Graph
Find its length over the given interval.
(13√(3) - 8)/(27)
Student Response
Graph Description
y
1.5
1
0.5
-0.5
0.5
1
1.5

Added by Jesse M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

11/01/2023

Step 1

When t = 0, r(0) = 0^3i + 0^2j = 0i + 0j = 0 When t = 1, r(1) = 1^3i + 1^2j = i + j So, the curve passes through the points (0,0) and (1,1). Show more…

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PREVIOUS ANSWERS LARCALC12 12.5.005. Sketch the plane curve. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = t^3i + t^2j, [0,1] able[[t,x,y DETAILS PREVIOUS ANSWERS LARCALC12 12.5.005. Sketch the plane curve. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.) r(t) = t^3i + t^2j, [0,1] X 0 0.5 1 Update Graph Student Response Graph Student Response Graph Description 1.5 0.5 -0.5 0.5 -0.5 Find its length over the given interval. 133 - 8 = 27