chap10solns - i t-0 tdsff 3 Find all points on the curve...

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H 1- 1. Sketch the curve. Indicate the direction in which the curve is traversed as t increases. If possible, eliminate the parameter to find a Cartesian equation of the curve. la. x = 3i - 5, y = 2t + l a+5" - s-t 3 M " 1—l- > lb. x = t 2 - 2, •(/ = 5 - 2t •f 3. 3 —2 ' 3 - 3
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Ic. x = sill t, y = coy t 2 *k is PQfiT of a p<VTA b v Id. x = cosf, y = cos2i a { / (-u //5 I M(A$hv\t\
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2. Find the slope of the parametric curve at the specified point. 2a. x- = t 4 + l, = i A -\-t f = -1 2 2b. x- — cos i + sin 2t, y — sin t + cos 2i; t = 0 2c. x = 6 sin t, y = t 2 + t; (0, 0) M= * i-O or
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Unformatted text preview: - i t-0 tdsff 3. Find all points on the curve where the tangent is horizontal or vertical. 3a. x = f*-r-Z 3c. 1-f/w _ /- e'-t i 4. Sketch the curve with the given polar equation. (In some but maybe not all cases, converting to rectangular coordinates may help.) 4a. r = sec 9 r = V /= 4b. r — 2 sii 2 _ r-2-. a * 2 .1- G a ^9 (i,l) £. u ^-h ~ r^> 4-0> X M to Q^ rf^ O "^ H<. Sf ~~~^N t II o...
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chap10solns - i t-0 tdsff 3 Find all points on the curve...

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