MAC 2147 Lecture 1: KIC Document 0029

3. JK, KL, and LJ are all tangent to O. JA = 6, AL = 11, and CK = 13. Find the perimeter of triangle JKL.

Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. If it is not, enter NONE.

a) F(x, y) = (2x − 4y) i + (−4x + 10y − 7) j

b)F(x, y) = e^x sin(y) i + e^x cos(y) j

c)F(x, y) = (ye^x + sin(y)) i + (e^x + x cos(y)) j

d)F(x, y) = (ln(y) + 6xy³) i + (9x²y² + x/y) j