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question of all rectangles with given area a which has the shortest diagonalsa rectangular beam is cut from a
question a right triangle has one vertex at the origin and one vertex on the curve y e-x3 for 1 le x le 5 one of the
question a rectangle has one side on the x-axis one side on the y-axis one vertex at the origin and one on the curve y
question a piece of wire of length l cm is cut into two pieces one piece of length x cm is made into a circle the rest
question the figures are made of rectangles and semicirclesa find a formula for the areab find a formula for the
question find the dimensions giving the minimum surface area given that the volume is 8 cm31 a closed rectangular box
1 what is meant by the term acidic oxide and basic oxide how can we predict whether an oxide will be basic or acidic on
question 1 the perimeter of a rectangle is 64 cm find the lengths of the sides of the rectangle giving the maximum
question a hemisphere of radius 1 sits on a horizontal plane a cylinder stands with its axis vertical the center of its
question 1 find the values of x that give critical points of y ax2 bx c where a b c are constants under what
question for some positive constant c a patients temperature change t due to a dose d of a drug is given byt c2 - d3
question a warehouse selling cement has to decide how often and in what quantities to reorder it is cheaper on average
question the bending moment m of a beam supported at one end at a distance x from the support is given bym 12omegalx -
question a chemical reaction converts substance a to substance y at the start of the reaction the quantity of a
question the potential energy u of a particle moving along the x-axis is given byu ba2x2 - axwhere a and b are
question for positive constants a and b the force between two atoms in a molecule is given byfr -ar2 br3where r gt 0
question figure gives the derivative of gx on -2 le x le 2a write a few sentences describing the behavior of gx on this
question figure shows the second derivative of hx for -2 le x le 1 if h-1 0 and h-1 2a explain why hx is never
question 1 the function y tx is positive and continuous with a global maximum at the point 3 3 graph tx if t x and tx
question in this problem we prove a special case of the mean value theorem where fa fb 0 this special case is called
question use rolles theorem to prove the mean value theorem suppose that fx is continuous on a b and differentiable on
question when an electric current passes through two resistors with resistance r1 and r2 connected in parallel the
question as an epidemic spreads through a population the number of infected people i is expressed as a function of the
question 1 a function which has a global maximum at x 0 and a global minimum at x 1 on the interval 0 le x le 1 but