Find free variables in the following formulas: i. ∀x(p(x) -> ∃y~q(f(x), y, f(y))) ii. ∀x(∃yr(x, f(y)) -> r(x, y)) iii. ∀z(p(z) -> ∃y(∃xq(x, y, z) V q(z, y, x))) iv. ∀z∃x∃y(q(z, u, g(u, y)) V r(u, g(z, u)))

Q: W(s, t) = F(u(s, t), v(s, t)), where F. u. and v are differentiable. If u (6,-6)= -2, u,(6, −6) = 3,…

A: The objective of the question is to find the partial derivatives W_s(6,-6) and W_t(6, -6) for the…

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and v are differentiable. If u(3, 6) = -7, us (3,- 6) =…

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Q: Let R(s, t) = G(u(s, t), v(s, t)), where G, u, and v are differentiable, and the following applies.…

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Q: W(s, t) = F(u(s, t), v(s, t)), where F, u, and u are differentiable. If u(-6,0) = 6, u,(-6,0) = -2,…

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Q: W(s, t) = F(u(s, t), v(s, t)), where F. u. and v are differentiable. If u (6,-6)= -2, u,(6, −6) = 3,…

A: The objective of the question is to find the partial derivatives of W with respect to s and t,…

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