Match the description to the property. speed. distance between the midpoint to a crest or the midpoint to a trough. frequency. the distance traveled per unit of time. wavelength. distance between a crest and a crest or a trough and a trough. the amount of time it takes for a wavelength to pass a certain point. amplitude. number of wavelengths that pass a fixed point in a second. period.

Let v1, v2, w be three linearly independent vectors in r 3 . that is, they do not all lie on the same plane. for each of the following (infinite) set of vectors, carefully sketch it in r 3 , and determine whether or not it is a vector space (i.e., a subspace of r 3 ). explain your reasoning

Consider a 1000 w iron whose base plate is made of 0.5 cm thick aluminum alloy 2024-t6 (ρ = 2770 kg/m3 and cp = 875 j/kg°c). the base plate has a surface area of 0.03 m2. initially, the iron is in thermal equilibrium with the ambient air at 22°c. assuming 90% of the heat generated in the resistance wires is transferred to the plate, determine the minimum time needed for the plate temperature to reach 200°c.

The total amount of energy contained in an object