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question a 100 cm long gutter is made of three strips of metal each 5 cm wide figure shows a cross-sectiona find the
question the design of boats is based on archimedes principle which states that the buoyant force on an object in water
question the circumference of a tree at different heights above the ground is given in the table below assume that all
question a bowl has the shape of the graph of y x4 between the points 1 1 and -1 1 rotated about the y-axis when the
question the hull of a boat has widths given by the following table reading across a row of the table gives widths at
question 1 a write an integral which represents the circumference of a circle of radius rb evaluate the integral and
question 1 write an expression that represents the arc length of the concave-down portion of the graph of fx x4 -8x3
question 1 the arc length of the curve y x5 between x 0 and x 2 is less than 322 a region in the plane which gives
question sketch the solid obtained by rotating each region around the indicated axis using the sketch show how to
question consider the hyperbola x2 - y2 1 in figurea the shaded region 2 le x le 3 is rotated around the x-axis what
question 1 find the length of one arch of y sin x2 find the perimeter of the region bounded by y x and y x23
question find the length of the parametric curves1 x 3 5t y 1 4t for 1 le t le 2 explain why your answer is
question 1 a region in the plane where it is easier to compute the area using horizontal slices than it is with
question concern the region bounded by y x2 y 1 and the y-axis for x ge 0 find the volume of the following solids1
question construct and evaluate definite integrals representing the area of the region described usinga vertical
question the integrals represent the area of either a triangle or part of a circle and the variable of integration
question 1 the integral0int1 x - x2dxrepresents the area of a region between two curves in the plane make a sketch of
question the integrals represent the volume of either a hemisphere or a cone and the variable of integration measures a
question 1 find the volume of a sphere of radius r by slicing2 set up and evaluate an integral to find the volume of a
question figure shows a solid with both rectangular and triangular cross sectionsa slice the solid parallel to the
question a rectangular lake is 150 km long and 3 km wide the vertical cross-section through the lake in figure shows
question a dam has a rectangular base 1400 meters long and 160 meters wide its cross-section is shown in figure the
question write a riemann sum and then a definite integral representing the volume of the region using the slice shown
question a use a computer algebra system to find the indefinite integral of the given functionb use the computer