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the height of a sand dune in centimeters is represented by ft 700 - 3t2 where t is measured in years since 2005 find
a ball is dropped from the top of the empire state building to the ground below the height y of the ball above the
at a time t seconds after it is thrown up in the air a tomato is at a height of ft -49t2 25t 3 metersa what is the
let ft and gt give respectively the amount of water in acre-feet in two different reservoirs on day t suppose that f0
a yam is put in a hot oven maintained at a constant temperature 200degc at time t 30 minutes the temperature t of the
a boat at anchor is bobbing up and down in the sea the vertical distance y in feet between the sea floor and the boat
the voltage v in volts in an electrical outlet is given as a function of time t in seconds by the function v 156
1 find the equations of the tangent lines at x 2 to the ellipse2 find the equation of the tangent line to the curve y
a find the equations of the tangent lines to the circle x2 y2 25 at the points where x 4b find the equations of the
a if x3 y3 - xy2 5 find dydxb using your answer to part a make a table of approximate y-values of points on the curve
air pressure at sea level is 30 inches of mercury at an altitude of h feet above sea level the air pressure p in inches
a find the tangent line approximation to cos x at x pi4b use a graph to explain how you know whether the tangent line
in problems 99-100 show that the curves meet at least once and determine whether the curves are perpendicular at the
the graphs of sin x and cos x intersect once between 0 and pi2 what is the angle between the two curves at the point
consider the function fx a find and sketch fx and the tangent line approximation to fx near x 4b compare the true
figure 350 shows the tangent line approximation to fx near x aa find a fa fab estimate f21 and f198 are these under-
global temperatures have been rising on average for more than a century sparking concern that the polar ice will melt
in 2009 the population of hungary11 was approximated bywhere p is in millions and t is in years since 2009 assume the
the gravitational attraction f between the earth and a satellite of mass m at a distance r from the center of the earth
the distance s of a moving body from a fixed point is given as a function of time t by s 20et2a find the velocity v of
the acceleration due to gravity g is given bywhere m is the mass of the earth r is the distance from the center of the
a particle moves in the xy plane under the constraint that its velocity vector is always directed toward a point on the
a can two objects of the same mass be in the same kepler orbit but with two separate angular velocitiesb does total
question 1a in no more than 200 words briefly explain both the similarities and differences between newtons law of
practice problems in trigonometryconvert the following angles to radian measures1 60deg2 53deg3 37degfind the sine