Suppose that a particle moves along a straight line with velocity - cos(t/2), sin(t/3), te [0, T], t e (T, 37], v(t) = in meters/second. What is the total distance traveled fromt = 0 up to t = 3T seconds ? (You only need to input Type your answer...

On the moon, all free-fall distance functions are of the form s(t) = 0.8112, where t is in seconds and s is in meters. An P object is dropped from a height of 350 meters above the moon. After 6 sec, consider parts (a) through (d) below. a) How far has the object fallen? b) How fast is it traveling? c) What is its acceleration? d) Explain the meaning of the second derivative of this free-fall function. FEE a) The object has fallen m. (Type an integer or decimal rounded to two decimal places as needed.)

find the line tangent to the curve y=cos(x) at the point (π/4, 1/√2)

3. Find the equation of the tangent line to f(x) = 2x · sin (x) at the point (5,n). %3D