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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
finding the centroid of the area bounded by the x- axis and a parabolafind the centroid of the area bounded by the parabola y 4 - x2nbspand the x-
finding the area enclosed by the first quadrant and the circle using integrationfind the area in the first quadrant bounded by the arc of a circle
evaluate the area of under one arch of a cycloid using its integrationfind the area under one arch of a cycloid described by the parametric equations
use eulers method to calculate the first three approximations to the given initial value problemuse eulers method to calculate the first three
finding the displacement yxt to the string at any point at any subsequent time described by a function a semi infinite string is initially at rest in
application of law of cosines to pentagonsa regular pentagon is inscribed in a circle of radius 4 centimeters make use of the law of cosines to find
calculating the height of the statueat a point 250 feet from the base of a building the angle of elevation of the top of the building is 275 degrees
cosine rulesfind the side of a regular dodecagon that is inscribed in a circle with radius 4 cm a regular dodecagon has 12 equal angles and 12 equal
asymptotes of trigonometric functionsgraph y csc 05x pi2 and y cos 05x pi2 on one set of coordinate axes label the asymptotes of the cosecant