Math-42 Sections 01, 02, 05 Homework #7 Due: Week of 3/23 Reading Section 2.1-2.2 Problem 1. Prove: A – (BnC) = (A – B) U (A – C) 2. Show the corresponding region on a Venn diagram.

Q: 5-6 Find the area of the shaded region. 5. y4 y=x-3r (2, 2) (-2, 2)

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Q: 1. Region bounded by - 1-x and y = 0 y = a. revolved about the x-axis (Discs) b. revolved about y=…

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Q: The shaded region has what area? 1.5 y = x 0.5 -0.5 0.5 1 1.5 2 2.5 3 3.5 4 4.5 1 -0.5 Y = (x – 3) 2…

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Q: 2. Find the area of the smaller loop of the curve r 3( 1-2cose) %3D

A: We will use the integral formula of polar curves to calculate the area bounded by the given region.

Q: If Ris the unbounded region between the graph of y = z(ln z)² and the x-axis for x > 3, then the…

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Q: A'n B' A B

A: A'∩B' It can be written as, A'∩B'=A∪B' Therefore it consists of the area other than A∪B.

Q: Evaluate xydA, where R is the region shown below. R 1, 3) (5, 3) (2, 1) (4, 1) x xydA = i R

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Q: BBBBBBBB TX 10 and the lines x = -2, x=2 (E) 24.923 B shaded region in the figure above is bounded…

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Q: Evaluate xydA, where R is the region shown below. R (1, 3) (5, 3) R (2, 1) (4, 1)x /| xydA i

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Q: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the area of the region…

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Q: The regions R, R,, and R, (see figure) are formed by the graphs of y = 2Vx, y = 3 - x, and x = 3. yA…

A: Now,

Q: Evaluate // xydA, where R is the region shown R below. (1, 3) (5, 3) R (2, 1) (4, 1) x xydA R i

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Q: 5. (Αυ Β) A Β -U-

A: we have to shade the region in the venn diagram corresponding to A∪B'.   as we know that the region…

Q: 8. A'U (B’ n C) A B U-

A: Below diagram represents A'

Q: 1. Indice te by shading the region of the Argand diagram for which Iz] s lz-81 and 0s arg(z + 2i) s

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Q: (9) Consider the region R, which is bounded by the graphs below. Which of the following interval is…

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Q: Which of the following is the shaded region of B'n(C-A)' ?

A: Since the question statement is different in image and in typed instruction i solve both part

Q: The region bonded below by porabola y-br? and aboue by the line y=12 is to be divided in to two…

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Q: 37. Set up to find the area of the region bounded by the graphs -2- =(X-2) 1) SC) =x-x² 2) S(x)…

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Q: Area of region under each graph? Integrals

A: Please see the diagram below for an understanding of the area that we have to calculate:

Q: Which of the following is the area of the region bounded by S(m) = -a +1, 9(a) = 2r + 4, a -1, and a…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The region inside r = Vcos(0) and inside r= in the first quadrant Ans: 3 V2

A: Hi! You have posted multiple questions. As per norms, we will be answering the first question as…

Q: Find the area of the region inside one loop of the lemniscate r=2sin(38)

A: The area, A of a polar curve, r=f(θ) from a to b is calculated using the formula, A=12∫abr2dθ .

Q: 35-40 Sketch the region and find its area (if the area is finite). 38. S = {(x, y) | x > 0, 0…

A: Let's find.

Q: Question 2: а) 2 – 3z Describe and sketch the region of: = 1.. 2+ 3z b) ' Find the value of : (i –…

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Q: venn diagram: shade the region corresponding to the following

A: Given:

Q: 5x-7 Give area of the region enclosed by y = and y = 0 from x = 1 to x = 3. A. 2 В. 3.4 C. 1.5 D. 1

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Q: 4. (A’U B)' n C A -U-

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Q: 4. Example: Construct and shade the region R that satisfies the following i a) x+y 2 5,ysx,…

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Q: (A’ U B)' n C A B

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Evaluate xydA, where R is the region shown below. 1, 3) (5, 3) R (2, 1) (4, 1) xydA = i R

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Q: 2. The shaded region, enclosed by the graphs of x = and y = 8- 4x is shown in the figure below. 1.1…

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Q: 4. Given the following diagram, shade the area defined by (An B) U (Bn C)U (ANC) U A в

A: Hey since there are multiple questions posted, we will answer first question. If you want any…

Q: B. Find the area enclosed by the given curve , the x-axis , and the given lines . 1. y = - 1/3 (x ^…

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: 1-4 Find the area of the shaded region. 1. jy = x² + 1 2. 5 y = x 3 AY y = √x 4 y=-1

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Q: 17. Sketch the region and find its area (if the area is finite): S = {(x, y) | x 2 1, 0<yse2}

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Q: The diagram below shows the graph of y = √√x and y = x. Consider the region bounded by the two…

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Q: B. Use the z-table to find the area that is located between z=0 and and graph t Given Area of the…

A: Note: Since you have posted questions with multiple subparts we will solve the first three questions…

Q: Rubber Balls in a Box Setup Stars Stripes Dots Red 8 15 12 Blue 3 14 Green 2 9 6 Experiment: The…

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Q: shade the region

A: Given: The Venn diagram, To find: The shaded region of A∪B'

Q: xydA, where R is the region shown below. t(1,3) (5, 3) R (2, 1) (4, 1)

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Q: QUESTION 1 2 Find the area of the region bounded by y = x -4, y = 2x, x = – 1, x = 2. -12 14 12 14 O…

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Q: The shaded region has what area? 1.5· y = x 1 0.5 -0.5 0.5 1.5 2 2.5 3 3.5 4 4.5 1 (x – 3) -0.5 Y :…

A: We want to find the area of the shaded region. The shaded region is a triangle, so to find the area…

Q: page 36 paper 2 4. INDICES AND SURDS 2016 N Q1 -3+ V5- The diagram shows a trapezium made from a…

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Q: 5. (A U B)' A 6. (A' n B) n C 7. (AU B) n C

A: To Determine: Venn diagram: Shade the region corresponding to the following: Given: we have given…

Q: B) Find the area of the region inside one loop of the lemniscate r-2sin(30)

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Q: 5-6 Find the area of the shaded region. y=x y =x³ – 3x (2, 2) (-2, 2) 5.

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Q: 4. Find the area of the region that is inside of the cardioid r= 4+4sin0 and outside the circle r=…

A: Cardioid is the curve traced out by a point on the circumference of a circle rolling around another…

Q: 5) Evaluate the ff (3x - 2y)DA. R is the region enclosed by the circle x² + y² = 1.

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Let R be the region shown on the graph. Evaluate ff, y da. (-1,1) 0.8 x + 2y? - 1 = 0 0.6 y = -x 0.4…

A: Given graph is In the given graph area is bounded by y=-x, x+2y2-1=0 and x-axis, where y varies…