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Section 9.1 38. Find all points of intersection of the two
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Can someone please help me with the attached Cal 2 math problems. Need help on those


Thanks,


Section 9.1

 


 

38. Find all points of intersection of the two curves.

 


 

{

 


 

x t2

 

y t 1

 


 

and

 


 

{

 


 

x 2 s

 

y 1 s

 


 

Section 9.2

 


 

10. Identify all points at which the curve has (a) a horizontal tangent and (b) a vertical

 

tangent.

 


 

{

 


 

x cos 2t

 

y sin 7t

 


 

16. Given the parametric equations for the position of an object, find the object?s velocity

 

and speed at the given times and describe its motion.

 


 

{

 


 

x 2sin 2t

 

y 3cos 2t

 


 

WA 5, p. 1

 


 

(a) t = 0?(b)

 


 

t 2

 


 

Section 9.3

 


 

10. (a) Show that the curve starts at the origin at t = 0 and reaches the point (?, 2) at t = 1.

 

(b) Use the time formula (3.2) to determine how long it would take a skier to take the

 

given path. (c) Find the slope at the origin and the arc length for the curve.

 


 

{

 


 

x t

 

y 24 t

 


 

14. Compute the surface area of the surface obtained by revolving the given curve about

 

the indicated axis.

 


 

{

 


 

x t 2 1

 

y t 3 4t

 


 

WA 5, p. 2

 


 

,

 


 

0t 2

 


 

(a) about the x-axis

 


 

(b) about x = 3

 


 

 







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