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A population is expected to change according to the function
P(t)=6000 - 3t^7/3+100t
where P(t) is the population t months from 1st January 2001.
A: Calculate rate of change of the population for 1st july 2001
B: 1st january 2002
C: 1st january 2004
the diagonals of a rectangle measures 198 and intersects at an angle whose measures is 110. Find to the nearest integer the length and width of the rectangle.
Find the area of the enclosed region between the curve and the coordinate axesthe graph is just the coordinate system with an ellipse draw over it, no numbers or letter are present
Find the slope of the tangent line to the graph of y= ln[x*e^x] at the point where x=3.
Consider the basis B={(3,2),(1,-4)} for R^2, Use the Gram-Schmidt process to rewrite this basis as an orthonormalized basis.
sean's older brother is 16 years old, he run between 15 and 25 miles each week, the sum of the digits of the total number of miles that he ran laast week is eight less than his age, how many miles did sean run last week.
For each of the described curves, decide if the curve would be more easily given by a polar equation or a Cartesian equation. Then write an equation for the curve.
What is the vertex of a parabola? How do you determine the vertex of the parabola? Demonstrate with an example.
Your checkbook shows a balance of $992.23. The bank statement does not show a deposit of $673.77, and checks for $122.52, $119.47, and $29.40 have not been cashed. What balance does the bank statement show?
A bowl is shaped like a hemisphere with diameter 30 cm. A heavy ball with diameter 10 cm is placed in the bowl and water is poured into the bowl to a depth of h centimeters. Find the volume of water in the bowl.
Case Eastern Junior College awarded 26 varsity letters in crew, 15 in swimming, and 16 in soccer. If awards went to 46 students and only 2 lettered in all sports, how many students lettered in two of the three sports?
A steep mountain is inclined 79 degree to the horizontal and rises 3100 ft above the surrounding plain. A cable car is to be installed from a point 900 ft from the base to the top of the mountain. Find the shortest length of cable needed.
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
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