Two friends are carrying a 200-kg crate up a flight of stairs. the crate is 1.25 m long and 0.500 m high, and its center of gravity is at its center. the stairs make a 45.0° angle with respect to the floor. the crate also is carried at a 45.0° angle, so that its bottom side is parallel to the slope of the stairs (fig. 2). if the force each person applies is vertical, what is the magnitude of each of these forces?

Let f(x) = x4- 8x2 . find the relativeextrema of this function using the second derivative test.

An alligator swims to the left with a constant velocity of 5 \,\dfrac{\text{m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction. when the alligator sees a bird straight ahead, the alligator speeds up with a constant acceleration of 3 \,\dfrac{\text {m}}{\text s^2}3 s 2 m ? 3, space, start fraction, m, divided by, s, start superscript, 2, end superscript, end fraction leftward until it reaches a final velocity of 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction leftward. how many seconds does it take the alligator to speed up from 5 \,\dfrac{\text {m}}{\text s}5 s m ? 5, space, start fraction, m, divided by, s, end fraction to 35 \,\dfrac{\text {m}}{\text s}35 s m ? 35, space, start fraction, m, divided by, s, end fraction?

The free body diagram shows a box being pulled to the left up a 25-degree incline. the magnitude of the normal force is