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Find the exact length of the curve. x = et - t, y = 4et/2 , 0 ≤ t ≤ 2.
Find the exact area of the surface obtained by rotating the given curve about the x-axis. x = 2t2 + 1/t, y = 8 - t, 1 ≤ t ≤ 3.
The annual revenue of the tie-dye T-shirt operation is currently $9,000 but is decreasing by $900 each year. How fast are annual sales changing?
A square support unit in a television is made with a side measuring 5 centimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 5.2 centimeters. By how much will the area of the square be increas..
Determine whether the following series converge or diverge
Consider Exercise 12-8-b. How many units of the new product must be sold (if the selling price is $14.00) to breakeven on the new product?
Please evaluate the following integral using the formula for integration by parts,
what is the area of each triangle in a square pyramid if the length of each side of the square base is 6 cm and the
A soup bowl can be modeled as a solid of revolution formed by revolving the graph of y=(x/2)^0.5+1,0≤x≤4,about the x-axis. Use this model, where x and y are measured in inches, to find the volume of the soup bowl.
Determine the following quantities: fx(x, y), fy{x. y). and fxy(x, y), fxy(x, y) and fyy(x, y). Determine the equation of the tangent plane at the point (-2. 1). Use it to approximate the value of f(-1. 99, 1. 01).
Find the point on the graph of y= e^x at which the curvature is the greatest. Write the equation for the surface generated by revolving the curve x^2 - 2y^2 = 1 about the y-axis. Describe the surface
A manufacture has been selling 1950 television sets a week at $480 each. A market survey indicates that for each $10 rebate offered to a buyer, the number of sets sold will increase by 100 per week.
If 80% of a radioactive element remains after 250 million years, then what percent remains radioactive after 600 million years? What is it's half life?
the interest formula shows hownbspinterestnbsprate andnbsptimenbspare related. it gives you a way of finding one of
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