Translate the following sentences in words to symbols then state if these sentences are true or false. If the sentence is false, give a counter example. 1. For any real numbers x and y, the square of their sum is equal to the sum of their squares plus twice their product. 2. For any rational numbers a and b, if their product is zero then either a or b equals 0.

Q: A B 24 12 17 6. 16 14 38 13 How many elements are in (4 UB)nC? 75 39 9. 14

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Q: 10. Simplify and express in terms of i: 5V-4 + v-I- 2/-9

A: Answer is mentioned below -

Q: In Exercises 13–16, define T : R² –→ R² by T(x) = Ax. Find a basis B for R? with the property that…

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Q: 21. Starting again with the container of marbles in problem 19, suppose you pick a marble out and…

A: 21) Number of marbles in a container is 12. Number of red marbles is 4. Number of white marbles is…

Q: 4 -5 - 2 – 2 1 1 3 Compute: 2 5 3 5 5 3 2 0 -2 4 3 Preview

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Q: 8 12 F dt 2.

A: Given: I=∫148t-12t3dt   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: Suppose that Rob and Big both raise animals and sell them. Because Rob and Big have different…

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Q: - 2 5 2 2 -4 -5 2 В C 1 -4 4 1 2 5 2 2С + BA CT 11 41

A: The given matrices are

Q: The graph is a translation of one of the basic functions y =x, y=x°, y = x, y = |x. Find the…

A: The given equations represent different forms of curve.

Q: 4 -2 1 -2 A = -3 1 -2 3 1 -1 -1 determine the following entries: a32 = a21 = a13 %3D

A: Given matrix is A = 4-21-2-312-231-1-1

Q: Question 2. If ax²+bx+c = a (x – d)² with a ‡ 0, find d in terms of a, b and c.

A: Given:The expression is .To Find: in terms of  and Concept Used:Algebraic identity:, where  and are…

Q: 1 -4 -2 B = |0 3 2 0 1 2. A = -1 4 1 -1 2 0 1 4 Find: 1: A.A1-B2 2: BT.B1+A?

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Q: 1. Perform the following operations A+B A - B 2A-B A = 32- -11 [0 2 1] 5, B = 5 4 2 2 1 0 2 4 0 1 2

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Q: X1 + x2 max s.t. + x2 + 12 40 3 X2 >0 X2 EZ VI VI

A: We will use the basic knowledge of linear programming and optimization to answer this question…

Q: Question 2. If arx² + bx + c = a (x − d)² with a ‡ 0, find d in terms of a, b and c.

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Q: mple. Compute AB and BA where 1 -1 A = %3D B = -2 2 3 4

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Q: Compute the following equation 2 -1 4 3 1 4 2 2 9 0 -1 - 1 0 1

A: The given matrix operation,The aim is to find the given matrix multiplication.

Q: 4 -2 Compute A - 213 and (213 )A, where A = -3 2 - 5 - 4 A- 213 =D 4- 2. 2.

A: Consider the given matrix as, 4-24-32-5-422

Q: Exercises 9-12: Critical Thinking Suppose that h and k are positive numbers. Match each equation to…

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Q: 2. у %3Dх -3 = x - 3 y = 8x – 31 %3D

A: answer is x=4 and y=1   explanation is given in below step

Q: If B = 101 -1 1 2 -1 2 1 then det (B5) =

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Q: hat is the equation of the line that passes through A(7,3) and B(2,0)?

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Q: In³ w 3 w√In²w-4 mp

A: Given :∫ln3wwln2w-4dw

Q: SITUATION I. For items 11 & 12. [2 0 A = 3 4 -2 1 8 7 B = 2 16 5 11. Multiply A x B. [48 321 27 a.…

A: We will answer the questions of the first situation as per our guideline. Please resubmit the other…

Q: 2. 86-=Z-

A: Given equation: -2x2=-98 Divide both side by -2 -2x2-2=-98-2x2=49

Q: (3+5i)- (2-1)- 1+6i o 1-6i 6+i 2-4i C

A: When two complex number are added, the real parts are added with each other and the imaginary parts…

Q: 1 Express 3 5 3 5 7 = as a linear combination of - 1 + 2 3 4 2 H 1 and 3 4 LO

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Q: If B = 1 1 01 2 2 -1 1 1 then det (B5) =

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Q: - 4 3 - 5 A = -1 -9 -8 B = 4 - 3 4 8 Find AxB. A×B =

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Q: Compute: -57 5 + [ 5 0 -1

A: Given data

Q: Find BA. A= BA= 0 -:] 7 -1 -3 0 -3 -5 -4

A: Finding the product of matrices.

Q: 4 نقاط * find each of a,& b 3 – i 2 – 2i - If a + ib = then 2+ 3i 1- 5i

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