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change into symbolic notationtranslate the following into symbolic notation use for negation amp for conjunction v for disjunction gt for
find the nth term of the given sequencesnbsp1write out the nth term for the continuation of the
evaluate the coordinate of centroid using multiple integral methodlet t be the region inside the sphere x2nbsp y2nbsp z2nbsp 1 for x ge0 yge0 and
find coordinate of centroid using multiple integral methodlet g be the three dimensional region above the paraboloid z x2nbsp y2nbspbut below the
show the mass as triple integral and solve the integral using spherical polar coordinatelet b be the three dimensional region below the sphere z
determine the multiple integral under given condition using spherical coordinatelet g be the three dimensional region inside the sphere x2nbsp y2nbsp
evaluate the multiple integral under given condition using spherical coordinatelet t be the three dimensional region that lies outside the sphere
find the multiple integral under given condition using cylindrical coordinateevaluate the triple integral intintintgnbspradicnbspx2nbsp y2nbsp z2 dv
application of differentiation and integration on real world problemduring the summer the temperature inside a van reaches 550c while that outside is
evaluate the dimensions of the rectangle of maximum area that can be inscribed in a ellipsemaximum area find the dimensions of the rectangle of
graph of the functionmake use of domain range symmetry asymptotes intercepts relative extrema and or points of inflection to obtain an accurate graph
determining the height at which the light has to be fixed to get its use in maximum area using its perimeter functionillumination a light source is
to make a conjecture about the tangent lines and the graph with the proof of the conjectureconjecture consider the functions fx frac12 x2nbspand gx
finding the equations of tangent lines and critical pointsconjecture consider the functions fx frac12 x2nbspand gx 116 x4nbsp- frac12 x2nbspon the
finding the value of x such that the vertical distance is maximumnbspconjecture consider the functions fx frac12 x2nbspand gx 116 x4nbsp- frac12
graphing the given function using the graphing utilityapply eulers method to the following differential equation to estimate the solution at t 1
determining the dimensions of a rectangle of maximum area that is formed by x- axis and a semi circlearea a rectangle is bounded by x-axis and the
finding the side lengths of the given trianglenbsplength a right triangle is formed in the first quadrant by the x- and y-axes and a line through the
finding the dimensions of a rectangle using second derivative testarea a rectangle is bounded by the x- and y- axes and the graph of y 6-x2 see
determining the maximum area of a norman window with the fixed perimeter of 16 feetanorman window is constructed by adjoining a semicircle to the top
finding the maximum speed using first derivative testnbspon a given day the flow rate f cars per hour on a congested roadway isnbspf v 22 0002v2
evaluate the point on the graph that is closest to given pointfind the point on the graph of the function that is given to closest point fx x2nbsp
graph of the functionmake use of domain rangesymmetry asymptotes intercepts relative extrema andor points of inflection to sketch a graph of the
finding the average value and rms value of the given functionnbsp1 find the average value of the function i 151-e-12t from t 0 to t 4 2 find the