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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
angular speed and linear speeda bicycle wheel with a 26 inch radius is spinning at a rate of 4 revolutions per second a find the angular speed of in
properties of triangles -sine rulea weather balloon b lies directly over a 1000-meter airstrip extending from a to c the angle of elevation from a to
computing the height of the buildingnbspsolve the following application problemaa man at ground level measures the angle of elevation to the top of a
evaluate the exact value of the trigonometric functionsnbspuse common trigonometric identities for the functions given to find the indicated
use of trigonometric ratios to find the distancetwo boats leave the port at the same time the first boat travels due east at 14 mph and the second
find the height of the tree from the given informationamman wants to measure the height of a treenbspon the other side of a rivernbsp he chooses a
find the nearest distance using cosine rulean airplane leaves an airport on a bearing of 450nbsp after flying for 65 km the airplane tunes and flies
find the nearest distance between two tunnels using cosine rulein a mine two tunnels are dug starting at the same pointnbsp one tunnel is 237 m long