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Use L'Hopital's rule to find limit x(pi/2 -tan^-1x) as x approaches infinity
draw the graph of y=1-(x^3)/2
a) Choose a point S1 on the graph at which the tangent at S1 meets the graph again at another point T1 . Use the graph to estimate the coordinates of T1.
390 - (351 - 536 x (590 - 527)) = ?
Write an equation for a rational function with:
Vertical Asymptotes at x = -4 and x = -6
x-intercepts at x = -3 and x = 6
Horizontal Asymptote at y = 7
y=?
Write an equation for a rational function with:
Vertical Asymptotes at x = -3 and x = 5
x-intercepts at x = -5 and x = 4
y-intercept at 7
y=?
A 12-ounce soft drink can has volume 21.66 cubic inches. If the top and botton are twice as thick as the sides, find the dimensions (radius and height) that minimize the ammount of metal used in the can.
If y = sin–1[(sina*sinx)/(1-cosa*sinx)] , then y’ (0) is:
lim┬(x→10)⁡〖|x-10|/(x-10)〗
he Golden Gate Bridge is supported by two huge cables strung betwen the towers at each end of the bridge. The function f(x)= .0001193x - .50106x + 526.113 gives the approximate height of the cables above the roadway at a point on the road x feet from one of the towers. The cables touch the road halfway between the two towers. How far apart are the towers?
spacing in this book was generally done in units of points and picas: 12 points = 1 pica, and 6 picas = 1 inch. if a figure was misplaced in the page proofs by 0.80 cm, what was the misplacement in [a] picas and [b] points?
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