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given the triangle with vertices a1 1 b3 7 and c93a determine the equation of the three lines drawn from each vertex to
for the triangle given in the previous example show that the line segment joining the midpoints of any two sides is
determine the coordinates of the point p which divides the line segment ab where a is the point x1 y1 and b is the
a 6 foot man walks away from a light sitting atop a pole 16 feet above grounda how long is his shadow when he is 8 feet
the sides of a triangle measure 5 6 and 8 inches find the sides of a similar triangle if the side corresponding to the
a kite maintains a constant altitude of 50 feet and is moving horizontally at the rate of 2 feet per second assume that
the radius of a circle is increasing at the rate of 1 inch per houra at what rate is the area of the circle changing
continuation of previous exercise suppose that the average price of a vcr during the same time period was governed by
the perimeter of a rectangle is growing at the rate of 12 msec its diagonal is growing at the rate of 4 msec at a
an alternative way to do implicit differentiation is to introduce a mythical extra variable t think of x and y as both
let fx x3 - 2x - 7a show that a root of this function lies in the interval 1 3b determine the equation of the tangent
boyle s law for gasses states that pv constant where p is the pressure in pounds per square inch psi and v is the
if the total cost of producing x toaster-ovens is given by the formula c1x2 40 12x 02x2 find the approximate cost of
an 8000 car loan is paid off with 250 monthly payments over three years what monthly interest rate r is the bank
if the demand for vcr s is described by the equation 5p 3x 60 where x is the number of items sold at price p where p
if the position of a particle at time t is given by the equation st 6 3t2 - 4t3a find the velocity as a function of
if a ball is thrown upward with initial velocity 28 feetsec and it strikes the ground 10 seconds latera how far above
a 20 foot high grain silo in the shape of a cone has a 10 foot base radius when the radius of the enclosed grain is 8
the line segment connecting the points a5 9 and b 12 20 is to be divided at a point p so that the ratio of the
a 15 foot ladder is leaning against a vertical wall and its base is on level ground the bottom of the ladder is being
forey inc competes against many other firms in a highly competitive industry over the last decade several firms have
do you think the us subsidies for the domestic production of ethanol fuel is a good idea what are major effects of the
suppose that abby is equally happy eating red or green apples how much has the true cost of living increased for abby
compare an 80000 median family income in 1980 to the same income in 1990 2000 and 2010 what are the differences in the
an industry consists of two firms the demand function for the product of firm i isqi 24 - 5pi 2pj the marginal cost