Draw $410^{\circ} 20^{\prime}$ in standard position and then name the reference angle.

The position vector r describes the path of an object moving in space. (b) Evaluate the velocity vector and acceleration vector of the object at the given value of t. Position Vector: r(t) = 3ti + tj + ¼t²k Time: t = 2

Draw an angle in standard position with the given measure.

$$\frac{5 \pi}{6}$$

The position vector r describes the path of an object moving in the xy-plane. (b) Evaluate the velocity vector and acceleration vector of the object at the given point. Position Vector: r(t) = ti + (-t² + 4) j Point: (1, 3)

Find the current through the resistor for each position of the ganged switch in Figure earlier.

For the system of earlier problem, determine the displacement x of the mass as a function of time if the mass is released at time t = 0 from a position 2 in. to the left of the equilibrium position with an initial velocity of 7 in./sec to the right. Determine the amplitude C of the motion.

Compare the ways in which each writer handles an argument opposing her position.

Points P and Q have position vectors p = 2i − j - 3k and q = i + 4j - k. (a) Find the position vector of the midpoint M of [PQ]. (b) Point R lies on the line (PQ) such that QR = QM. Find the coordinates of R if R and M are distinct points.

Draw an angle with the given measure in the standard position.

$$-\frac{2 \pi}{3}$$

The position vector r describes the path of an object moving in the xy-plane. (b) Evaluate the velocity vector and acceleration vector of the object at the given point. Position Vector: r(t) = (¼t³ + 1)i + tj Point: (3, 2)

How does the position of a crocodile's nostrils and eyes relate to its method of hunting?

The position vector r describes the path of an object moving in space. (b) Evaluate the velocity vector and acceleration vector of the object at the given value of Position Vector: r(t) = ⟨cos³ t, sin³ t, 3t⟩ Time: t = π

You are standing on a straight stretch of road and watching the motion of a bicycle; you choose your position as the origin. At one instant, the position of the bicycle is negative and its velocity is positive. Is the bicycle getting closer to you or farther away? Explain.

What is the total current from the voltage source in Figure for each switch position