You are standing above the point (4,3) on the surface z=15−(2x2+y2). (a) In which direction should you walk to descend fastest? (Give your answer as a unit 2-vector.)

Answer asap 50 points which of the following illustrates how a venus fly trap senses that an insect has landed in its open leaves? 1. using tiny hairs, the leaves sense a change in light. 2. using tiny hairs, the leaves taste a chemical. 3. using tiny hairs, the leaves detect a touch. 4. using tiny hairs, the leaves sense a change in water levels.

Two wooden members of 80 × 120-mm uniform rectangular cross section are joined by the simple glued scarf splice shown. knowing that β = 22° and that the maximum allowable stresses in the joint are, respectively, 400 kpa in tension (perpendicular to the splice) and 690 kpa in shear (parallel to the splice), determine the largest centric load p that can be applied using mohr's circle. (round the final answer to two decimal places.)

Which phenomena are transmissions of light? refraction, polarization, and scattering polarization, scattering, and reflection reflection, refraction, and absorption scattering, absorption, and refraction