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differentiating a function using the product rule and finding the tangent line equation at particular pointfind f x and find the equation of the line
application of differential calculus in economics profit cost and revenue functionthe total cost of producing q units of a product is given by cq
find critical points end points local extrema and global extremafor the functionnbspnbsp fx fx x3-3x2nbspnbsp -1nbspltnbspxnbspltnbsp3 nbspdo the
application of differential calculus maximization and minimizationyou run a small furniture business you sign a deal with a customer to deliver up to
application of differential calculus in economics profit cost and revenue functionthe total cost cq of production goods as given bycq nbsp001q3nbsp-
determine the dimensions of largest possible area of a rectangular gardenarectangular garden is bounded on one side by a house and is to be fenced on
evaluate the maximum revenue using cost and revenue functionthe manager of a cd store has found that if the price of a cd is px 100 - x6 then x cds
find the supply and demand for particular value when supply and demand functions are givensuppose the supply and demand for a certain videotape is
use taylors expansion to arrange the function in ascending orderuse taylor expansion to put the following four functions from smallest to largest for
taylor expansion to find the dominant behavior of velocityif an object with mass m falls from rest subject to a certain type of air resistance then
estimating the value of a function using 3rd taylor polynomialconsider the 3rdnbsptaylor polynomial p3x for the function fx radicx with anchor point
finding the value of x for which the power series convergesfor what values of z does the power series1 - 3x 5x22 - 7x33 9x44 - 11x55 converge if
to determine the dimensions of a rectangular containera rectangular storage container with an open top is to have a volume of 10 cubic yards the
to find the rate of increment in the height of conical pile at a particular point using differentiationsand is poured at a constant rate of 5 meters
analyzing the graph of the given function using first and second derivativenbspuse the first and second derivative to identify where the function fx
rate of change occurs in a side of a triangle with respect to the change occurs in another sidea ladder that is 25 feet long is resting against a
rate related problemsthe distance s in feet covered by a car t seconds after starting from rest is given by st -t3nbsp 8t2nbsp 20t 0 le t le 6 find
find the taylors formula for estimation of cosine functionuse tayors formula for fx cos x - x-x2 13x- x23nbsp- 15x-x25nbspnbsp to estimate cos
root test for convergence of geometric seriesuse the root test to show that a geometric series converges only if its ratio has absolute value less
find the relative growth rateassume the relative growth rate is a linear function of population at timenbsptnbspby using the formula nbsp 1pdpdt b
solving differential equations with initial conditionshow much would it cost to solve this onesuppose organisms grow in mass according to the
differential equations with initial conditionsfor the following description of a cell write a differential equation find and graph the solution and
solving on numerical method - euler methodsapply eulers method to the following differential equation to estimate the solution at t 1 starting from
application of calculus-optimization problemtwo vertical poles pq and st are secured by a rope prs going from the top of the first pole to a point r