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Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle and label its height and width. (Do this on paper. Your instructor may ask you to turn in this graph.)
y=6 x**2, y**2=1/6 x
Then find the area S of the region. (Give an exact answer.)
Find the critical value at the 0.05 level of significance for a goodness of fit test if there are 6 categories?
Solve each linear equation. Show your work and check. Solve each equation by first eliminating the decimal numbers.
A company's CEO wanted to estimate the percentage of defective product per shipment. In a sample containing 400 products, he found 25 defective products.
How much will the preferred stockholders and the common stockholders receive each year?
If F is a field, prove that the field of fractions of F[[x]] is the ring F((x)) of formal Laurent series. Show that the field of fractions of the power series ring Z[[x]] is properly contained in the field of Laurent series Q((x)).
A 13-foot ladder is leaning against a house. The distance from the bottom of the ladder to the house is 7 feet less than the distance from the top of the ladder to the ground. How far is the bottom of the ladder from the house?
A body of mass 6 kg moves in a (counterclockwise) circular path of radius 7 meters, making one revolution every 8 seconds. You may assume the circle is in the xy-plane, and so you may ignore the third component.
What percent of new expansion should be financed by equity?
A gun is fired with angle of elevation 30°. What is the muzzle speed if the maximum height of the shell is 486 m? (Round the answer to the nearest whole number. g ≈ 9.8 m/s2)
The world's tallest ferris wheel is in osaka, japan, and stands 369 feet tall. its wheel has a diameter of 328 feet. find the circumference of the ferris wheel.
Merchandise was purchased at list for $3,460 with a single trade discount of 23%. What was the net price of this merchandise?
Formulate the initial-value problem describing the motion of the object under each of the following sets of conditions. Set x equal to the downward displacement from equilbrium.
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