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1. Evaluate integrate ∫∫Rex^2+y^2 dA , where R is the semi-circular region bounded below by the x-axis and above by the curve y = √(1-x2)
2. For each of the following, set up a triple iterated integral to find the volume of the solid enclosed by the parabolic surfaces z = x2 + 3y2 and z = 8 - x2 - y2 . You do not need to integrate.
Ultimately you decide upon a simple random sample of 90 theatres. Use this data to:
It takes you 50 seconds to walk from the first(ground) floor of a building to the fourth floor. How long will it take to walk from the first floor to the eight floor( at the same pace, assuming that all floors have the same height)
A carpenter is building a rectangular room with a fixed perimeter of 224 ft. What dimensions would yield the maximum area? What is the maximum area?
Automorphisms and Conjugation, Show that if H is any group then there is a group G that contains H as a normal subgroup with the property that for every automorphism f of H there is an element g of G such that the conjugation by g
What is an example of a linearly dependent set of three vectors with the property that any single vector can be removed from the set without changing the span of the set?
(1) The Golden Ratio is the number φ = 1+ 5 . Is φ constructible? (2) Textbook section 12.5, problems 1, 4, 5, 7, 11, 12, 15, 18, 25.(3) Textbook section 12.5, problem 16: Prove that the following equa- tion has no constructible solutions:x3 - 6x..
The number of attempts available for each question is noted beside the question. If you are having trouble figuring out your error, you should consult the textbook, or ask a fellow student, one of the TA's or your professor for help. There are als..
identify each of the following as examples of nominal ordinal interval or ratio scales of measurement.a poll of
The recording devices record the time the sound reaches each one. How far directly north of site B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
Use the formula for simple interest, I = prt. Find p if I = $184.28, r = 4.1%, and t = 2 yr.
Solving problem on distributive Laws
Prove that G has a non-trivial centre (hint: use the class equation)
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