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1. Use the Pythagorean identity sin^2 x + cos^2 x = 1 to show that 1 + cot^2 x = csc^2 x.
2. Prove that tan^2 x + 1= sec^2 x for all angles (x) and use 80 degrees to verify the identity.
Mrs. Gardner went to the market. She purchased some lettuce heads and some tomatoes. There were 12 items purchased. She bought twice as many tomatoes as lettuce heads.
Construct and use the 0.05 level in testing the contingency table for variables 26 and 27. Can we conclude that the gender of the respondent is independent of the education level of the respondent
A system consists of four subassemblies connected in series. The individuak subassembly reliabilities are as follows:
A bacteria culture initially contains 1132 bacteria and doubles every half hour. Find the size of the bacterial population after 60 minutes.
1. Study the stability of the limit cycle r=1 for the system given in polar coordinates by the equations r ? =(r^2 -1)(2x-1) , φ ? =1 . (where x=rcosφ ).
Find the supply and demand for particular value when supply and demand functions are given and How many videotapes are demanded at a price of $20?
If the point A (3,4) is translated by the column vector (2,-5), what would be the co-ordinates of its image?
How would the optimum solution change if the RHS value for the first resource increases by 10 units?
a car traveling at 45 miles per hour is brought to a complete stop, at a constant deceleration, 132 feet from where the brakes are applied. How far has the car moved when its speed has been reduced to 15 miles per hour? How far has the car moved w..
A tanker that delivers gasoline to gas stations had 1400 gal of gasoline when it was. 7. 8 full. How much could the tanker hold when it is full?
Find the work done for one rotation-from t = 0 to t = 2π. Show your set up. but please use WolframAlpha to evaluate any resulting integrals.
Why must we always be mindful of the final value of the denominator in a rational expression? For example, consider the rational expression 3x/(x2 - 16). What values in the denominator must we be mindful of? Explain why.
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