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1 find the centroid of the region bounded by the given curvesy 6 sin 4x y 6 cos 4x x 0 x pi162 calculate the moments
1 find the first and second partial derivatives of f x y x3 e12y sinx2 y22 find partzparty if x3 y3 4z2 6xyz 13
explain and sketch whenever possible put final answer in a frame each problem carries the same weight1 give the point a
find the laplace transform of each function belowa ft 2 delta t u3tb ft delta t - pi t2 t4 sintc ft delta t - 1
1 find the equation of the plane that contains the point p 246 and the linex 7 - 3t y 3 4t z 5 2t2 find the
1 given a pathrt e14t sin 12ti e14t cos 12tj e14tk2 find the velocity vector acceleration vector and the speed of
telescoping series for the following telescoping series find a formula for the nth term of the sequence of partial sums
the unit polar basis er etheta is related to the standard cartesian basis i j as followser cos thetai sin thetaj
the position vector of a particle at time t isrt 2 cos ti 3 sin tj tkdeterminr the tangential and normal components
use the given parameters to answer the following questions if you have a graphing device graph the curve to check your
activity why do we survive rainy dayspuddles of water are stalling to form everywhere but i slither carefully around
question 1- for the functiona compute the average rate of change on the interval -1 2b find the end behavior of f xc
1 a give an example of two quantities who are not likely represented by a function and explain why make sure your
create a microsoft excel spreadsheet with sample data using the data collection plan for two variables from your
find the value of x if any at which f is not continuous1 fx 5x4 - 3x 72 fx 3radicx - 83 fx x 2 x2 44 fx 2x 1
calculate the line integral intc 2jrarr 3krarr drrarr where c is the y-axis from the origin to point 010 0 please show
prove that the pair of functions y1x sin x y2x x sin a on the interval i 0 pi are linearly independent construct a
solve the ivp with differential operator methodd2 5d 6iy 0 y0 2 y0 beta gt 0determine the coordinates tm ym of the
the density function for the number of times the riders scream on a roller coster is given byfind the mean number of
the cartesian coordinates of a point are given1 4 -4a find the polar coordinates r theta of the point where r gt 0 and
find a polar equation for the curve represented by the given cartesian equation xy
the price of a companys stock over the 12-week period at the beginning of 2012 can be approximated by the function fx
determine the divergence of the given vector field nabla middot 3xirarr y2jrarr z3krarr please show all work so
the quantity of charge q in coulombs c that has passed through a point in a wire up to time t measured in seconds is