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If f is a bounded function defined on a closed bounded interval [a, b] and if f is integrable on each interval [a, r] with a < r < b, then prove that f is integrable on [a, b] and ( integral from a to b ) f(x) dx = lim r →b ( integral from a to r ) f (x) dx .
If the distance the car traveled after applying the brakes equals 20 feet, what does that mean to the officer investigating the accident? (HINT: Let d = 20, bring 20 to the right so that the equation equals zero, identify the coefficients, A, B an..
consider the following age data which is the result of selecting a random sample of 20 united airlines
Bill Moore is buying a used Winnebago. His April monthly interest at 9% was $120.
A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
Two twelve-member basketball teams play a game. After the game, each of the members of the winning team shakes hands once with each member of both teams. How many handshakes take place?
An investment of $6000 is made at annual simple interest rate of 14%. How much additional money is also invested at an annual simple interest rate of 10% if the total is 12% of the total investment.
An object is thrown upward from the top of a 112-foot building with initial velocity of 96 feet per second.the height of h of the object after t seconds is given by the quadratic equation h =-16t^2+96t+112 when will the object hit the ground?
a rectangular prism has the dimensions of 4 by 6 by x. If the total surfacea area of the prism is 248 square units, what is the value of x?
a couple wants to have two children. what is the probability that a the first or the second is a boy at least one girl
Evaluate the line integral, where C is the given curve. (Round your answer to one decimal place.)
What percentile should be reported for a student who scores 650 on the GMAT.
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