Free-Falling Object In Exercises 107 and 108, use the position function s ( t ) = − 4.9 t 2 + 200 , which gives the height (in meters) of an object that has fallen for t seconds from a height of 200 meters. The velocity at time t = a seconds is given by lim t → a s ( a ) − s ( t ) a − t ⋅ Find the velocity of the object when t = 3 .
Free-Falling Object In Exercises 107 and 108, use the position function s ( t ) = − 4.9 t 2 + 200 , which gives the height (in meters) of an object that has fallen for t seconds from a height of 200 meters. The velocity at time t = a seconds is given by lim t → a s ( a ) − s ( t ) a − t ⋅ Find the velocity of the object when t = 3 .
Solution Summary: The author calculates the velocity of an object at t=3 seconds. The position function gives the height (in feet) of the object.
Free-Falling Object In Exercises 107 and 108, use the position function
s
(
t
)
=
−
4.9
t
2
+
200
, which gives the height (in meters) of an object that has fallen for t seconds from a height of 200 meters. The velocity at time
t
=
a
seconds is given by
Mymathlab homework for business calculus:
Use f'(x)= lim h-->0 f(x+h)-f(x)/h to find the derivative at x for the given function. s(x)=5x+8, s'(x)=?
Finding the Slope of a Tangent Line InExercises 9–14, find the slope of the tangent line tothe graph of the function at the given point
f (t) = 3t − t2, (0, 0)
Calculus I
In the exercise f(x)= cos x + sin x; [0,2pi], find the following
1.) Search for critical points2.) Search if it grows or decreases3.) Search for local maximum and minimum
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY