03: For the surface f(x, y, z) = tan(xy + xz+yz), find: (1) the gradient of f; (2) the directional derivative (3) the may and min directional derivative and their

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Q: 1) Let T a b la + 2b +2c + 1d + 7e+ (-1) f la + 2b + 4c + 4d +21e+(-2)ƒ la + 2b +3c+ 2d + 12e + (-2)…

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Q: Solve the given initial value problem. = 2 x²y² + xy³ x²y² + y² = 3 xy² + xy³ | xy² − y³ = 1 x²y² -…

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Q: Problem 7 Are the following arguments valid or invalid? J&T. TCSC. Therefore, S&J. (Q13) ? JcTC. TS.…

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Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 ≤ t ≤ 1. √(x + 3y²) a…

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Q: Use Trapezoidal Rule to find the lower bound m and the upper bound M of the value of the integral…

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