Start Discovering Solved Questions and Your Course Assignments
TextBooks Included
Active Tutors
Asked Questions
Answered Questions
question suppose now the length of the pendulum in problem remains constant but that the acceleration due to gravity
question a explain why the following equation has a solution near 0et 002t 1098b replace et by its linearization near
question the saint louis arch can be approximated by using a function of the form y b - a coshxa putting the origin on
question a find tanh 0b for what values of x is tanh x positive negative explain your answer algebraicallyc on what
question 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
question 1 describe and explain the behavior of sinh x as x rarr infin and as x rarr -infin2 if x cosh t and y sinh t
question give an example of1 a hyperbolic function which is concave up2 a value of k such thatlimxrarrinfin ekxcosh x
question 1 find the local linearization of fx x2 near x 12 what is the local linearization of ex2 near x 13 show
question 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
question a find the tangent line approximation to cos x at x pi4b use a graph to explain how you know whether the
qestion a graph fx x3 - 3x2 3x 1b find and add to your sketch the local linearization to fx at x 2c mark on your
question a show that 1kx is the local linearization of1x k near x 0b someone claims that the square root of 11 is
question a find the equations of the tangent lines to the circle x2 y2 25 at the points where x 4b find the
question a if x3 y3 - xy2 5 find dydxb using your answer to part a make a table of approximate y-values of points on
question 1 sketch the circles y2 x2 1 and y2 x - 32 4 there is a line with positive slope that is tangent to both
question 1 a find dydx given that x2 y2 - 4x 7y 15b under what conditions on x andor y is the tangent line to this
question 1 a formula for dydx leading to a vertical tangent at y 2 and a horizontal tangent at x plusmn22 a curve
question 1 show that the power rule for derivatives applies to rational powers of the form y xmn by raising both sides
question at a particular location fp is the number of gallons of gas sold when the price is p dollars per gallona what
question to compare the acidity of different solutions chemists use the ph which is a single number not the product of
question the number of years t it takes an investment of 1000 to grow to f in an account which pays 5 interest
question a firm estimates that the total revenue r in dollars received from the sale of q goods is given byr ln1
question a find the equation of the tangent line to y ln x at x 1b use it to calculate approximate values for ln11
question a find the equation of the best quadratic approximation to y ln x at x 1 the best quadratic approximation
question 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