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question a find all critical points and all inflection points of the function fx x4 -2ax2 b assume a and b are
question the graphs of the function fx xx2 a2 for a 1 2 and 3 are shown in figure without a calculator identify the
question when you cough your windpipe contracts the speed vr with which you expel air depends on the radius r of your
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question at time t a projectile launched with angle of elevation alpha and initial velocity v0 has position xtv0 cos
question two particles move in the xy-plane at time t the position of particle a is given by xt 4t - 4 and yt 2t - k
question a an object moves along the path x 3t and y cos2t where t is time write the equation for the line tangent to
question the position of a particle at time t is given by x et 3 and y e2t 6et 9a find dydx in terms of tb find
question a particle moves in the xy-plane so that its position at time t is given by x sin t and y cos2t for 0 le ta
question a hypothetical moon orbits a planet which in turn orbits a star suppose that the orbits are circular and that
question for x and y in meters the motion of the particle given byx t3 - 3t y t2 - 2twhere the y-axis is vertical and
question the position of a particle at time t is given by x et and y 2e2ta find dydx in terms of tb eliminate the
question describe in words the curve represented by the parametric equationsx 3 t3 y 5 - t3a sketch the
question a explain how you know that the following two pairs of equations parameterize the same linex 2 t y 4 3t
question a line is parameterized by x 23t and y 47ta what part of the line is obtained by restricting t to nonnegative
question a line is parameterized by x 10 t and y 2ta what part of the line do we get by restricting t to tb what
question show motion twice around a square beginning at the origin at time t 0 and parameterized by x ft y gt sketch
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question write a parameterization for the curves in the xy-plane1 the line through the points 2 -1 and 1 32 a vertical
question give parameterizations of the unit circle or a part of it describe in words how the circle is traced out
question in a 19th century sea-battle the number of ships on each side remaining t hours after the start are given by
question for the amusement of the guests some hotels have elevators on the outside of the building one such hotel is
question a water tank is in the shape of an inverted cone with depth 10 meters and top radius 8 meters water is flowing