Saturday
December 7, 2013

# Posts by Abigail

Total # Posts: 155

calculus
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.

calc
How long will it take for the population to reach 10 times its initial level? y=50(e)^(0.5t)

Calculus
Identify the coordinates of any local extrema of the function y=e^x - e^(2x).

Calculus
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.

Calculus
Solve: 20 = 10 (2^x)(ln2)

vectors
Find the distance between the parallel line and plane: l: r=[2,0,1] + t[1,4,1] pi: 2x - y + 2z = 4

Calculus
Write a scalar equation of each plane, given its parametric equations. x = 3 - 2s + 2t y = 1 + 3s + t z = 5 - s - 2t

VECTORS
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]

English
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"

calculus
What conditions must be satisfied by vectors u and v for this to be true? |u + v| >|u - v|

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