A ball was tossed into the air. its height, in metres, is given by h(t)= - 4.9t^2 + 6t + 11, where t is time, in seconds. Write an expression that represents the average rate of change over the interval 2<t<2 + h.
How long will it take for the population to reach 10 times its initial level? y=50(e)^(0.5t)
Identify the coordinates of any local extrema of the function y=e^x - e^(2x).
Determine the equation of the line perpendicular to the tangent line to the function f(x) = 1/2 (e^x)at the point on the curve where x=ln3.
Solve: 20 = 10 (2^x)(ln2)
Find the distance between the parallel line and plane: l: r=[2,0,1] + t[1,4,1] pi: 2x - y + 2z = 4
Write a scalar equation of each plane, given its parametric equations. x = 3 - 2s + 2t y = 1 + 3s + t z = 5 - s - 2t
Write a scalar equation of each plane, given its vector equation. [x,y,z] = [3,7,-5] + s[1,2,-1] + t[1,-2,3]
What is the point of view of the followng quote from the story Journey "you turn onto this road, which winds among the foothills and forests and goes through several small villages"
What conditions must be satisfied by vectors u and v for this to be true? |u + v| >|u - v|