A particle moving in one dimension (the x-axis) is described by the wave function f psi(x) = { Ae^-bx, for x > 0 Ae^bx, for x < 0 where b = 2.00 m^-1, A > 0, and the +x-axis points toward the right, Determine A so that the wave function is normalized, Sketch the graph of the wave function, Find the probability of finding this particle in each of the following regions: within 50.0 cm of the origin, on the left side of the origin (can you first guess the answer by looking at the graph of the wave function?), between x = 0.500 m and x = 1.00 m.

If a rock is thrown upward on the planet mars with a velocity of 12 m/s, its height (in meters) after t seconds is given by h = 12t − 1.86t2. (a) find the velocity of the rock after two seconds. m/s (b) find the velocity of the rock when t = a. 12−3.72a m/s (c) when will the rock hit the surface? (round your answer to one decimal place.) t = s (d) with what velocity will the rock hit the surface? m/s

The sun’s mass is 2.0×10^ 30 kg, its radius is 7.0×10 5 km, and it has a rotational period of approximately 28 days. if the sun should collapse into a white dwarf of radius 3.5×10 3 km, what would its period be if no mass were ejected and a sphere of uniform density can model the sun both before and after?

The chart shows the costs and shipping times for materials that a company needs to build a new product. which describes the best trade-off if the company needs to start building their product within the next two years? they should order the domestic materials because it is always best to choose the fastest shipping time. they should order the imported materials because it is always best to choose the lowest cost for materials. since the shipping time is longer, they should order the domestic materials because the additional cost is worth it to get the materials in time. even though the shipping time is longer, they should order the imported materials because they are less expensive and should arrive in plenty of time to build the product.