dx = 6x³ (3+ y²) 3/2

dx 139. x² V1 – x2

S(4x - 3) dx

Let a subset W be the set of all vectors in R² such that |×₁ | = |x₂|- Apply the theorem for conditions for a subspace to determine whether or not W is a subspace of R². According to the theorem of conditions for a subspace, the nonempty subset W of the vector space V is a subspace of V if and only if it satisfies the following two conditions: (i) If u and v are vectors in W, then u + v is also in W. (ii) If u is in W and c is a scalar, then the vector cu is also in W. Select the correct choice below. O A. W is a subspace of R2 because it satisfies both of the conditions. B. W is not a subspace of R² because both conditions (i) and (ii) fail. C. W is not a subspace of R² because condition (ii) fails while condition (i) is satisfied. D. W is not a subspace of R2 because condition (i) fails while condition (ii) is satisfied.

x3 . dx (x2+1)2 8.

d (6) –(cotx) %3D dx II