Let C be the parametric curve given by1²+2t +8,C:y= cost +1,An integral for the area of the surface obtained by rotating the curve about the line y =-7 isSPACE FOR YOUR WORK7´ (cost – 6) / (21 + 2)² + sin²t dt(a)2лt[´ (cost +8) /(2t +2)² + sin²t dt(b) 2л(1² +2t + 1)/(21 +2)2 + sin²t dt(c)(? +21+15) V(21 +2)² + sin²t dt(d)2лL (cost+8)V(21 +2)² – sin²t dt(e)sin?t1+(2t +2)²(cost +8)dt() 2л(g)None of the above.

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Asked Dec 10, 2019
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Let C be the parametric curve given by
1²+2t +8,
C:
y= cost +1,
An integral for the area of the surface obtained by rotating the curve about the line y =
-7 is
SPACE FOR YOUR WORK
7´ (cost – 6) / (21 + 2)² + sin²t dt
(a)
2л
t[´ (cost +8) /(2t +2)² + sin²t dt
(b) 2л
(1² +2t + 1)/(21 +2)2 + sin²t dt
(c)
(? +21+15) V(21 +2)² + sin²t dt
(d)
2л
L (cost+8)V(21 +2)² – sin²t dt
(e)
sin?t
1+
(2t +2)²
(cost +8)
dt
() 2л
(g)
None of the above.
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Let C be the parametric curve given by 1²+2t +8, C: y= cost +1, An integral for the area of the surface obtained by rotating the curve about the line y = -7 is SPACE FOR YOUR WORK 7´ (cost – 6) / (21 + 2)² + sin²t dt (a) 2л t[´ (cost +8) /(2t +2)² + sin²t dt (b) 2л (1² +2t + 1)/(21 +2)2 + sin²t dt (c) (? +21+15) V(21 +2)² + sin²t dt (d) 2л L (cost+8)V(21 +2)² – sin²t dt (e) sin?t 1+ (2t +2)² (cost +8) dt () 2л (g) None of the above.

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Given parametric curve ...

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x =t + 2t +8 C:{ y = cost +1, Osts: dx = 2t + 2, dt dy = -sin t dt

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