Evaluate the following path integrals integral_c f(x, y, z) ds, under the following conditions.

(note that exp(u) = e^u.)

(a) f(x, y, z) = exp(squareroot z), and c: t rightarrow (4, 1, t^2), t elementof [0, 1]

(b) f(x, y, z) = yz, and c: t rightarrow (t, 3t, 4t), t elementof [1, 3]

Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down