Aparticle moves along the curve below. y = sqrt(1 + x^3) as it reaches the point (2, 3), the y-coordinate is increasing at a rate of 14 cm/s. how fast is the x-coordinate of the point changing at that instant?

Arunner is jogging at a steady 3.6 km/hr. when the runner is 2.9 km from the finish line, a bird begins flying from the runner to the finish line at 14.4 km/hr (4 times as fast as the runner). when the bird reaches the finish line, it turns around and flies back to the runner. even though the bird is a dodo, we will assume that it occupies only one point in space, i.e., a zero-length bird. how far does the bird travel? (b) after this first encounter, the bird then turns around and flies from the runner back to the finish line, turns around again and flies back to the runner. the bird repeats the back and forth trips until the runner reaches the finish line. how far does the bird travel from the beginning? (i.e. include the distance traveled to the first encounter)

Explain what it means to view something from a frame of reference. provide an example that illustrates your explanation. (4 points)

Which phrase describes the paleo-indians of prehistoric arkansas? a. grew cornb. lived in cliff dwellings c. crafted beautiful potteryd. hunted with stone-tipped spearswhich phrase describes native arkansas from the woodland traditiona. developed widespread agricultureb. hunted mastodon and woolly mammothc.built rectangle-shaped homesd. traded salt with other groups