Find the volume of the region bounded above by the plane f(x,y) = 2x + 3y +7 and below by the rectangle R: -4≤x≤2, 2≤y≤3. The volume is cubic units. (Type an integer or a simplified fraction.)

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Q: 1. Let V be the set of all 2 x 2 matrices 4-[*]s a. Is V close under addition? Show your proof. b.…

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Q: QUESTION 2 Determine whether W = {(a,2,b)la, b = R} is a subspace of R³.

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Q: (b) By considering the Gerschgorin circles, show that the eigenvalues of the matrix 2 -1 0 A = -1…

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Q: 22) and y. a.x=16;y=853 6. x=852;y=452 C.x = 8√3; y = 16 d. x = 8√√2;y=853 See the diagram. Solve…

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Q: The solution in implicit form is where C is an arbitrary constant. = C ||

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Q: A. Given the matrix R =  2          −1                                        1           3  i.…

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Q: 6.The least positive residue or remainder of 12^20 (mod 25)  a.8 b.6 c.4 d.2 9.Which pairs of…

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. -3 1 -6 0308 4 + 5 4.)

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Q: What is the value of the summation? a.) 2 3 Σ Σ(i+j) i=1 j=1 b.) 8 Σ 3· 2 j=0 c.) 4 Σ (-2) j-0

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Q: 102 86 98 109 92 81 165 97 134 92 87 114

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Q: I. Simplify. Write "undefined" for expressions that are undefined. 1 -6 4.) 0 + 4 3 55 3

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Q: 35. Find the sum of the following geometric series. A. Does not exist B. -12, 258 Σ -3(2)'-¹ C.…

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Q: 3. I. 2 Evaluate each determinant. 5 3

A: abcd=ad-bc By formula  we have now  -1523=D (let)

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Q: 32. Write the rule for the following arithmetic sequence. -15,-24,-33,-42, ... A. a = -9n-6 B. an…

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A: This quedtion from topic vector space of linear algebra.

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Q: ∞O ∞ Suppose an>0 and a diverges. Prove that n = 1 n = 1 an contrary suppose an 1+ an 1+ an…

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