(1)The union of 2 open sets is an open set

Q: Real Analysis We started metric spaces yesterday.  I am asked to prove that the metric space defined…

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Q: Real Analysis Show that the intersection of two closed sets is a closed set.

A: Suppose F1 and F2 are two closed sets

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A: Given:      ( - ∞ , 6 ]

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Q: About proofs. Please help finish the blanks. *Maybe you will have to use some of these theorems to…

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Q: A rectangular garden is to be surrounded by a low fence. There is only 100 feet of fencing available…

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A: (a) 9,10,17a=9b=10c=17S=a+b+c2S=9+10+172S=362S=18Area of triangle-A=s(s-a)(s-b)(s-c)put the value of…

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A: Use the theorems given to prove the given triangles in the table congruent.

Q: positive real numbers such tha ith proof the minimum value of

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A: Note: Since you have posted multiple questions we will solve the first question for you. If you want…

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A: AB and CD are opposite horizontal sides of each other of the given trapezoid. From the picture, we…

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Q: UANTIFICATION  True or False  FOR ALL y, y is any integer: y^3 - 1

A: Given expression is  y3−1=0 To determine whether y is an integer or not for any value of y.

Q: About proofs. Please help finish the blanks. *Maybe you will have to use some of these theorems to…

A: Use the theorems given to prove the given triangles in the table AOB and COD are congruent.

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Q: About proofs. Please help finish the blanks. *Maybe you will have to use some of these theorems to…

A: Here angle D is equal to itself, that is reflexive property. Given, AD bisects angle A, so by…

Q: 3. Using methods of linear algebra prove that span{(1,0, 0), (0, 1, 0)} C span{(1, 1,0), (1, –1,0)}.…

A: Given:  and . To show:

Q: Discuss  the  use  of  open versus  closed  questions.  Give  an  example  of  an  appropriate  open…

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Q: True or False? 6. Let x and y be real numbers. We have that |x| = |y| if and only if x = y.

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A: Reason: 2. parallel sides of the trapezoid. statement: 3. pair1 --> (vertically opposite angles)…

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A: SOLUTION-

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Q: An exercise in functional analysis. The professor during last lecture said that to make sure a…

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Q: PROVE: Maximum and Minimum Formulas Let max(a, b) denote the maximum and min(a, b) denote the…

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Q: The set of all pairs of real numbers of the form (x, y), where x > 0, with the standard operations…

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Q: Solue the rational ineguality. write the solution Set in interual hotation メt21 X+2 olt

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Q: A) graph the system of inequalities representing the contraints b)find the value of the objetive…

A: Given data :  Objective function , z = 7x + y  Constraints ,  x≥0 , y≥02x + 3y ≤24 x + y ≥3

Q: 19 intersects the line 4 - %3D Use algebra to find the point at which the line g(x) = -x 4 19 f(z) =…

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Q: 2. Each representation below gives the total cost, C, for an order of food, n. n can represent the…

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Q: 92. PROVE: Maximum and Minimum Formulas Let max(a, b) denote the maximum and min(a, b) denote the…

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A: Note : Your answer starts from the next step according to Bartleby guidelines.

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Q: About proofs. Please help finish the blanks. *Maybe you will have to use some of these theorems to…

A: We will prove that the two triangles are similar and then establish the statement.

Q: About proofs. Please help finish the blanks. *Maybe you will have to use some of these theorems to…

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Q: proof that: x^8 + x^6 - 4x^4 + x^2 + 4 > 0

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Q: dimensions of the field with maximum area that can be enclosed with 1000 feet of fencing. You can…

A: Solution..