Unformatted text preview: t . 6. Draw the curve C : x = x ( t ) ,y = y ( t ) , ≤ t ≤ 3, where x = x ( t ) and y = y ( t ) are the functions of Figures 1 and 2. t 1 2 3 x 5 − 5 x = x ( t ) t 1 2 3 y 5 − 5 y = y ( t ) FIGURE 1 FIGURE 2 7. The curve C : x = 3 t − t 2 ,y = t 3 − 3 t 2 + 1 , − . 8 ≤ t ≤ 3 . 25 is shown in Figure 3. (a) Find its velocity vector at t = 1 and draw it with the curve. Use the scales on the axes to measure the components of the vector. (b) Give a de±nite integral that equals the length of the curve. Do not simplify the integrand or evaluate the integral. x 4 − 4 y 4 − 4 FIGURE 3 1...
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This note was uploaded on 08/31/2011 for the course MATH 20C taught by Professor Helton during the Spring '08 term at UCSD.
 Spring '08
 Helton
 Math, Calculus

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