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1.) Find the length of the curve (called a semi parabola) given by: y^2=x^3 from the pint (1,1) to the point (9,27)
2.) find the length of the Curve y= (x^2) - (1/8)ln(x) from 1≤x≤5
please be very careful with writing down all calculations step by step and also explain all conclusions and results
How many commuters must be randomly selected to estimate the mean driving time of Chicago commuters? We want 98% confidence that the sample mean is within 2 minutes of the population mean, and the population standard deviation is known to be 11 mi..
What is the greatest area of a rectangle having a perimeter of 38 cm and sides of integral measure?
The integers 1 through 25 are arranged in a 5 x 5 array (we use each number from 1 to 25 exactly once). All that matters is which numbers are in each column and how they are arranged in the columns.
Two ships leave port at the same time, one heading due south and the other heading due east. Several hours later they are 170 miles apart. If the ship traveling south traveled 70 miles farther than the ship traveling east, how many miles did each ..
The Excel parts of this project need to be done in Excel, Open Office or any other spreadsheet software and printed and attached to the rest of your work. The rest of the project may be typed or hand-written, in a neat and legible way (messy wo..
a rectangular field is to be enclosed by a fence and divided into 2 rectangular fields by a fence parallel to one sind of the field. if 1200m of fence is availabile find the dimensions of the field giving the greatest area.
Probability amd Mutually Exclusive Events, A fair dice is rolled. What is the probability of rolling an odd number OR a number less than 3?
Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear. Show your work.
A parabolic arch has a horizontal base 80 m long and the highest point is 64m above the base. Determine the height of the arch at a point 10m from either end of the base.
A metal storage tank with a maximum volume of 1500m^3, is to be constructed in the shape of a right circular cylinder surmounted by a hemisphere. What radial and height dimensions will require the least amount of material?
Determine accumulated rates of change using definite integral - Explain how this represents an accumulated rate of change in detail
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