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We Integrate; Polar, Therefore We Things to do Parametric Are w/ Category 1 Potpourri Improper & L’Hopital’s All Things Series 10 Points 10 Points 20 Points 20 Points 30 Points 30 Points 40 Points 40 Points 50 Points 50 Points
Write the correct partial expansion of
Evaluate
Evaluate
Evaluate
Write the integral that would calculate the arc length of the 3 curve y = x from (0, 0) to (1, 1).
A As shown in the figure above, a square with vertices (0, 0), (2, 2) and (0, 2) is divided into two regions by the graph y = -x 2 + 2 x. If a point is picked from inside the square, what is the probability that the point lies in the region above the parabola?
Question 1 c
2
None are convergent
What is the radius of convergence for the power series below?
Make your wager
A cylindrical tank is initially filled with water to a depth of 16 feet. A valve in the bottom is opened and the water runs out. The depth, h, of the water in the tank decreases at a rate proportional to the square root of the depth, that is, dh/dt = - k√h (h is measured in ft/hr, where k is a constant 0<k<1). H=12. 25 ft when t=8 hr. How many hours after the valve was first opened will the tank be empty? Note: √ 12. 25 = 3. 5
After 64 hours
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