.A small, cold creek flows through a dense forest. The trees line the banks of the creek providing shade most of the day. Algae grow well only in a few areas of the creek that receive direct sunlight. Most of the food energy enters the ecosystem in the form of dead leaves that fall from the trees. A fire swept through the forest, burning all the leaves, but leaving the trees standing. This increased the amount of direct sunlight reaching the creek. As a result of the fire, what increased in the creek? What type of succession will occur to open new available niches and resources?

If the area of a square has increased by a factor of 16, by how much has each side increased?

The base of a 50-meter tower is at the origin; the base of a 50-meter tree is at (0, 50, 0). the ground is flat and the z-axis points upward. the following parametric equations describe the motion of six projectiles each launched at time t = 0 in seconds. (i) r (t) = (50 + t2)k (ii) r (t) = 2t2 j + 2t2k (iii) r (t) = 50 i + 50 j + (50 − t2)k (iv) r (t) = 2t j + (50 − t2)k (v) r (t) = (50 − 2t) i + 2t j + (50 − t)k (vi) r (t) = t i + t j + tk (a) which projectile is launched from the top of the tower and goes downward? at time t = , the projectile hits the ground at point (x, y, z) = . (b) which projectile hits the top of the tree?

Would it be correct to say the doppler effect is the apparent change in the speed of a wave due to the motion of the source? be sure to fully explain your position using at least 3 complete content related sentences.