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One month a shop ordered 95 total units from 3 different suppliers from Toronto, Ott., and Montreal. Costs were: $81, $49, and $57 with a total cost of $5375. The shop ordered the same amount from Ott and Toronto. How many did each order?
(a) Find the Riemann sum for f(x) = x - 4 sin 2x, 0 x 3, with six terms, taking the sample points to be right endpoints. (Give your answer correct to six decimal places.)
Identify the definite integral that represents the volume of the solid formed by revolving the region bounded by y=x^3, y=1, and x=2 about the line y=10.
Let C^3 be equipped with the standard inner product and Let W be the subspace of C^3 that is spanned by u=(1,0,1) and u2=(1/sqrt3, 1/sqrt3, -1/sqrt 3). Project the vector v=(1,i ,i ) onto W.
An anchor weighing 125 lb in water is attached to a chain weighing 4 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 50 ft.
Let x and y be real numbers. Show that x 0 if and only if x 0 if and only if x=y.
jason leaves Detroit at 2pm and drives at a constant speed west along I-96. He passes Ann Arbor, 40 miles from Detroit, at 2:50 pm. What is the distance in terms of the tiime elapsed.
In a percent change graph of an average teachers annual salary the bars representing successive years are either unchanged or decreasing in size.
Find the solution to the following system of linear equations: Solve the following absolute value inequality: ½ |x - 2|
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Through how many radians does a pulley with 10 cm diameter turn when 10 m of rope has been pulled through it without slippage? How many revolutions result?
bacteria grow over a culture at a rate proportional to the amount present. if there are 200 bacteria present intially and the amount doubles in 2hrs, how many will there be aftera further 2 hours?
Also, suppose the obstruction is a square, 1m on a side, and is parallel to the screen. Express the area of the shadow as a function of the distance from the light to the obstruction.
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