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let c1x2 2x2 300x 50 be the cost of producing x items what is the cost of producing the 89th item give both the
let 10p x 100 be the demand equation where p is the price per item when x items are demandeda find the total revenue
suppose that the number of riders per day on the new york city subway system is 4 million when the fare is 200 suppose
in the cost and demand equations are givena determine the profit functionb what is the profit when the level of
a ball is to thrown vertically upward from the ground so that it may be caught by an individual on a ledge 128 feet
given the demand equation p mx b m gt 0 b gt 0a on the same set of axes graph the demand and revenue equationsb show
the sides of a triangular parking lot are 120 yards 150 yards and 200 yards an architect is drawing a scale drawing of
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