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A: EVALUATE : ∫03∫-24∫104x2y-z3 dz dy dx
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A: 5(y-2)+1≤7y+8 5y-10+1≤7y+8 5y-9≤7y+8
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A: A detailed solution is given below.
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A: Explanation of the answer is as follows
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A: Given problem:- A farmer needs to enclose a field with a fence. He has 500 ft of fencing materials…
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A: Let's find average rate of change from x = -2 to x = 1 from the above graph.
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Q: fund
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Q: Bonus: Write the expression as a complex number in standard form. 5i(-2+ i)
A: The standard form of a complex number is x+yi.
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A: Given the triangle with A= 52°,b=10mm,and c=5mm,find the remaining angle and sides.
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A: Let's find determinant using elementary row operations.
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Q: If 0#x#1 in a field R, then x is an idempotent.
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Q: 2: Subtract the following matrices. 12 47 A-3 0 -1 and B= 21 2 2 0 07 1-43 32 -1
A: Given problem:-
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A: We will use Pythagoras theorem to solve this question.
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A: In 2012, the population of a city was 6.01 million. The exponential growth rate was 2.12% per year.
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A: Please follow the next step.
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A: Topic = Circle
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- An element x in a ring is called idempotent if x2=x. Find two different idempotent elements in M2().9. The definition of an even integer was stated in Section 1.2. Prove or disprove that the set of all even integers is closed with respect to a. addition defined on . b. multiplication defined on .11. a. Give an example of a ring of characteristic 4, and elements in such that b. Give an example of a noncommutative ring with characteristic 4, and elements in such that .
- A Boolean ring is a ring in which all elements x satisfy x2=x. Prove that every Boolean ring has characteristic 2.2. Prove that is commutative if and only if is commutative.7. Prove that on a given set of rings, the relation of being isomorphic has the reflexive, symmetric, and transitive properties.
- Let R be a commutative ring with unity whose only ideals are {0} and R Prove that R is a field.(Hint: See Exercise 30.)22. Let be a ring with finite number of elements. Show that the characteristic of divides .a. For a fixed element a of a commutative ring R, prove that the set I={ar|rR} is an ideal of R. (Hint: Compare this with Example 4, and note that the element a itself may not be in this set I.) b. Give an example of a commutative ring R and an element aR such that a(a)={ar|rR}.