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if k ge 1 the graphs of y sin x and y ke-x intersect for x ge 0 find the smallest value of k for which the graphs are
an oscillating mass at the end of a spring is at a distance y from its equilibrium position given bythe constant k
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
1 a find dydx given that x2 y2 - 4x 7y 15b under what conditions on x andor y is the tangent line to this curve
using a graph like figure 341 estimate to one decimal place the magnitude of the error in approximating sin x by x for
a find the best linear approximation lx to fx ex near x 0b what is the sign of the error ex fx - lx for x near 0c
a using a calculator or computer sketch the graph of y 2ex 5e-x for -3 le x le 3 0 le y le 20 observe that it looks
the saint louis arch can be approximated by using a function of the form y b - a coshxa putting the origin on the
the cable between the two towers of a power line hangs in the shape of the curvewhere t is the tension in the cable at
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
from the local linearizations of ex and sin x near x 0 write down the local linearization of the function ex sin x
1 suppose that g and h are continuous on a b and differentiable on a b prove that if gx le hx for a2 deduce the
some scientists in the physical sciences such as physics and chemistry argue that hypothetical constructs are not
at any time t a population pt is growing at a rate proportional to the population at that momenta using derivatives
an object is oscillating at the end of a spring its position in centimeters relative to a fixed point is given as a
the total number of people n who have contracted a disease by a time t days after its outbreak is given bya in the long
the world population was 67 billion at the beginning of 2008 an exponential model predicts the population to be pt67ekt
obtain two textbooks-one in a social or behavioral science such as psychology sociology communication or anthropology
a use a computer algebra system to find and simplify the derivative of the given functionb without a computer algebra
the area of the earths surface is approximately 516 x 106 km2 what is the weight of the entire atmosphere in tonnes
discuss the common role the sonic hedgehog gene serves in the limb development of all living vertebrates what does the
color vision gave our primate ancestors great advantages if color vision is an advantage discuss how the condition of
history assignmenttopic the american civil warso you have to be specific in american civil warcomparebetweenslaves