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From the top of a cliff, 16415 ft high, you observe a shorter cliff,7542 ft high. If the two cliffs are 3789 ft apart at the bases, answer the following:
Angle of Depression (in degrees)=
Angle of Elevation (in Radians)=
Which is the most economical purchase?
Prove that the upper sum U(f, P) for a partition of [a, b] and a bounded function f on [a, b] is the least upper bound of the set of all Riemann sums for f and P.
Let A be the area of a circle with radius r that is increasing in size with respect to time. If the rate of change of the area is 12 cm/s, find the rate of change of the radius when the radius is 18cm.
A rectangle is 6 kilometers less than twice its length if its area is 216 square kilometers find the dimensions of the rectangle.
What is the probability that a freshman selected at random from this group is enrolled in.
Find the demand function(price as a function of attendance), assuming it to be linear.
Balls are drawn from a box containing m white and n black balls until a white ball appears. How many balls in average do we anticipate to draw until we find the first white ball?
A check register shows the current cash balance to be $1,260.40. A check was written after this cash balance date for $193.84. Compute the new cash balance shown in the check register.
Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) with the initial conditions a(0)=0 and a(1)=2. Solve the recurrence relation a(n)=3a(n-1)+10a(n-2) +12 with the initial conditions a(0)=0 and a(1)=2.
Calculate the range, variance, inter quartile range, coefficient of variation and standard deviation.
There are 12 light bulbs, 5 of which are defective. All bulbs look alike and have an equal probability of being chosen. Three light bulbs are selected and placed on the table.
Transportation problem: Cost minimization, Three quarries produce lime which is then shipped to five warehouses
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