A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back and forth along a straight line given by the equation s = 2 sin(at) + 2 cos(nt), where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (1) (1, 2] cm/s (1) [1, 1.1] cm/s (iII) [1, 1.01] cm/s (iv) [1, 1.001] cm/s

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion s = 5 sin(xt) + 4 cos(xt), where t is measured in seconds. (Round your answers to two decimal places.) (a) Find the average velocity during each time period. (i) [1, 2] cm/s (ii) [1, 1.1] cm/s (iii) [1, 1.01] cm/s (iv) [1, 1.001] cm/s (b) Estimate the instantaneous velocity of the particle when t = 1. cm/s

The displacement of a mass on a spring, sliding back and forth on a level surface, is given by x = centimeters. Estimate the velocity at t = 4 seconds. Clearly indicate the expression(s) you evaluate, and include appropriate units. 6e-t/2 cos(t), where t is in seconds and x is in

Find the slope of the tangent line to the sine function at the origin. y 2 y= sin(7 x) 1 Compare these values with the number of complete cycles in the interval [0, 2n]. O The slope is half the the number of cycles in the interval. O The slope is twice the number of cycles in the interval. O There is no relationship between slope and number of cycles. O The slope squared gives the number of cycles in the interval. O The slope is equal to the number of cycles in the interval.