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consider the function fxyzxy yz2 xz3 find the gradient of ffind the gradient of f at the point 2 4 4find the rate of
1 write equations of the tangent and normal lines to the curve x3yxy4 10 at 212 find the points on the graph of the
1 write dy in terms of x and dx if y 5x22 determine the linear approximation of 212 express your answer as a reduced
1 we wish to construct a pipepline from point p to point q in the diagram below we must select the points a and b for
1 use spherical coordinatesfind the volume of the solid that lies within the spherenbspx2nbspnbspy2nbspnbspz2nbsp 25
1 use graphing technology and the method in example 5 to find thenbspx-coordinates of the critical points accurate to
1 use differentiation to approximate the maximum error in using 5 cm as the radius of a sphere to calculate its volume
a system contains 20 identical and critical components that will be replaced on failure renewal process as a result a
1 the price function for a product is pt 60 - 3t and the demand function is xt 1200 - 005t2 find rt when t802 if fx
1 at what points does the curve lt2t t5 t2gt intersects the paraboloid z x2 y22 find a paraboloa that has a curvature
1 in the diagram below a uniform magnetic field of magnitude 009 t is directed vertically as shown the two arrows that
1 a kite 50ft above the ground moves horizontally at a speed of 2fts at what rate is the angle between the string and
1 a heap of rubbish in the shape of a cube is being compacted into a smaller cube given that the volume decreases at a
great scott doc brown has just bought 100 grams of plutonium 241 which has a half-life of 14 years he plans on storing
1 the graphs of the function f given in blue and g given in red are plotted above suppose that u x f x g xnbspand v x
1 given the given cost functioncx8700 440x 05x2 and the demand function px1320 find the production level that will
i given a demand function d150-2x and a supply function s8x where x is price find the x y coordinates of the
1 for the function f defined below determine if f is increasing or decreasing at x2 and determine the concavity at x2
total and annual returns write up twenty years after purchasing shares in a mutual fund for 6500 you sell them for
give the derivative of with respect to x fx
1 the function defined below satisfies rolles theorem on the given interval find the value ofnbspcnbspin the interval
give the derivative of the following equation
find the range of the setsa 12 6 7 3 15 10 18 5b 9 3 8 8 9 8
pick a science and a math topic for a particular grade from 1-6 for each create a list of literature appropriate to use
1 determine the equation of anbspgraph of fx x2 that has been transformed so that it now has a vertex of 4-1 opens