Vector a⃗ has a magnitude of 3.00 and is directed parallel to the negative y-axis and vector b⃗ has a magnitude of 3.00 and is directed parallel to the positive y-axis. determine the magnitude and direction angle (as measured counterclockwise from the positive x-axis) of vector c⃗ , if c⃗ =a⃗ −b⃗ .

c = 6.00; θ = 270˚
c = 3.00; θ = 270˚
c = 6.00; θ = 90˚
c = 3.00; θ = 90˚

Atank holds 1000 gallons of water, which drains from the bottom of the tank in half an hour. the values in the table show the volume v of water remaining in the tank (in gallons) after t minutes. t(min) 5 10 15 20 25 30v(gal) 694 444 250 111 28 0(a) if p is the point (15, 250) on the graph of v, find the slopes of the secant lines pq when q is the point on the graph with t = 5, 10, 20, 25, and 30.(b) estimate the slope of the tangent line at p by averaging the slopes of two secant lines.(c) use a graph of the function to estimate the slope of the tangent line at p. (this slope represents the rate at which the water is flowing from the tank after 15 minutes.)show all steps.

Which statement correctly describes the relationship between frequency and wavelength?

Charge is distributed along the entire x-axis with uniform density λ. how much work does the electric field of this charge distribution do on an electron that moves along the y-axis from y = a to y = b? (use the following as necessary: a, b, ε0, λ, and q for the charge on an electron.)