Find the T(1), Ñ(1), B(t), and K(t) of the following space curves. (a) F(t)=(3 sint)i + (3 cost)j + 4tk (b) F(t)=(e' cost)i + (e' sint)j +2k (c) F(t)=(sint)i + (√2 cost)]+(sint)

Q: Find the tangent to the parabola (x + 2y)² + 2x - y - 3 = 0, parallel to the line x - y = 1.

A: Consider the equation of the line x-y=1 ⇒y=x -1 Comparing with y=mx+c we get slope of line, m=1

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A: We have to find out point of inflection

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A: Just compute the derivative and equate it to zero.

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Q: The demand curve of a firm is p=1200– 21q and its total cost is C(q) = 2q° – 66q² +600g+1000 where q…

A: Given  demand curve of the firm is p=1200-21qtotal cost is C(q)=2q3-66q2+600q+1000

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A: We have to find

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