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1. Find the area enclosed by the curve x = t^2 - 2t, y = sqrt(t) and the y-axis.
2. Find a Cartesian equation for the curve and identify it. r^2 cos 2θ = 1
3. Find a polar equation for the curve represented by the given Cartesian equation. x^2 + y^2 = 4cx
4. Find the exact length of the curve. x = 5 cos t - cos 5t, y = 5 sin t - sin 5t, 0 ≤ t ≤ π
5. Find the exact length of the curve. x = 7 + 3t^2, y = 6 + 2t^3, 0 ≤ t ≤ 4
The distance between the pole and the building is , and the pole casts a shadow that is long. How tall is the building? Round your answer to the nearest foot.
A committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple
A test consists of 810 true or false questions. If the student guesses on each question, what is the standard deviation of the number of correct answers?
a scale drawing has a scale of 1/4 in.: 6 ft. Find the length on the drawing for each actual lenght. 18 ft, 66 ft, 204 ft.
Francis Marion awarded 26 varsity letters in basebal
Complementary events. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are ind..
For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel ..
shirley is going to have exterior of her home painted. tims painting charges 250 plus 14 per hour. colorful paints
find the velocity vector at a particular point vector projection of acceleration and the length of the curve between
What is the standard deviation of the number of patients in the sample that will have had a medication error? What is the probability of observing one or more patients who have had medication errors in the same sample?
velocity graph of a car accelerating from rest to a speed of 120 km/h over a period of 30 seconds is shown. Estimate the distance, d traveled during this period. (Use M6 to get the most precise estimate. Round the answer to two decimal places.)
Define variables that would tell how many units to purchase from each source. Develop an objective function that would minimize the total cost.
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