Deduce the parametric equations of the directional tangent lines from the following surfaces at the given...

 

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Deduce the parametric equations of the directional tangent lines from the following surfaces at the given point. (i) f(x, y) = 2x²y - 4xy², v = = (1,3) at P(2, 3). (ii) f(x, y) = 3 cos(x) sin(y), v = (1, 2) at P (3, 4). (iii) f(x, y) = 3x - 5y, v = (1, 1) at P(4,2). (iv) f(x, y) = x² - 2x - y² + 4y, v = (1, 1) at P(1,2). 2a (b) Deduce the normal lines from the following surfaces at the given point. (i) f(x, y) = 2x²y - 4xy2 at P(2, 3). (ii) f(x, y) = 3 cos (r) sin(y) at P (7). (iii) f(x, y) = 3x - 5y at P(4,2). (iv) f(x, y) = x² - 2x - y² + 4y at P(1,2). Deduce the parametric equations of the directional tangent lines from the following surfaces at the given point. (i) f(x, y) = 2x²y - 4xy², v = = (1,3) at P(2, 3). (ii) f(x, y) = 3 cos(x) sin(y), v = (1, 2) at P (3, 4). (iii) f(x, y) = 3x - 5y, v = (1, 1) at P(4,2). (iv) f(x, y) = x² - 2x - y² + 4y, v = (1, 1) at P(1,2). 2a (b) Deduce the normal lines from the following surfaces at the given point. (i) f(x, y) = 2x²y - 4xy2 at P(2, 3). (ii) f(x, y) = 3 cos (r) sin(y) at P (7). (iii) f(x, y) = 3x - 5y at P(4,2). (iv) f(x, y) = x² - 2x - y² + 4y at P(1,2).

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Lets start by finding the directional tangent lines and normal lines for the given surfaces at the given points a Directional Tangent Lines The direct... View the full answer