2. Graph the region satisfying the inequality a) z+y S4 b) -1> 2y. You must show graphs.

Q: What is the area of the region bounded between the graphs of x= y + 1 and r = 3- y? O 7/2 O none of…

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Q: 14 12

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Q: In Exercises 15–28, sketch the region bounded by the graphs ofthe equations and find the area of the…

A: The region bounded by the given equations y = - x2 +3x + 1,  y =-x  + 1 is:

Q: Describe in words the region in R° represented by the equation x2 + y² + z² < 0.

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Q: Graph the region bounded by r=3-6sinθ

A: Given r=3-6sinθWe will now graph the given function

Q: 16. Sketch the region enclosed by y = |x| and y = x2 - 2, and find its area.

A: To evaluate the area between the following curves

Q: sketch the region defined by the inequality. 0 ≤ r ≤ 2 - 2 cos θ

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Q: What is the area (in square units) of the region bounded by the graphs of y=r²+2, and the x axis…

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Q: 4. Find the area of the region bounded by the horizontal strip. y² +1 and the y-axis using

A: Topic = Area

Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

A: First draw the x and y axes . Label x for x-axis and y for y-axis . Line y=0 passes from the point…

Q: Sketch the region given by the set. {(x, y) | y = 3}

A: The set is x,y|y=3. The region is set of all values x,y such that y=3. That is, the region is the…

Q: 6. Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS, where P(-2,1,0),…

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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: Sketch the region in the xy-plane defined by the inequalities x - 5y2 > 0, 2 – x – 9\y| > 0 and find…

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Q: 1.26. Show that the absolute value of A BXC is the volume of the parallelepiped with edges A, B, and…

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Q: 9. What is the area of the largest rectangle that can be drawn with one side along the x-axis and…

A: Consider the provided information, Now, draw the figure of the provided information.

Q: The region shown is bounded by x = 3 , y = 0 and y = x

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Q: Find the area of the region bounded by y = x^2 - 5x + 6, the x-axis, and the vertical lines x = O…

A: here we have .............the x-axis .............upper and lower limit (2 vertical lines)

Q: Find the area.

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Q: Sketch the region defined by the inequalities 0&lt;= r&lt;=2 sec u and -pai/4 &lt;= u&lt;= pai/4

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Q: Given that R is the region bounded by the curve y = x+3 and line y= x-3. (b) Describe the region Rby…

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Q: 8. Sketch the region bounded by y = between x 1 and x = 2 then find the are of this x2+x region.

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Q: he region bounded by x2 + y2 = 4?, 4y = -5x and 13y = 6x where y 2 0. Leave your answer correct…

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Q: Sketch the region bounded by the graphs of 6x+4y=14 and 4y+6x-2=0, then find its area.

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Q: 9. a) Find the area of the region bounded by the y = Vx and y = x 1 graphs of (set both equal and…

A: To find the area of the region bounded by the curve and a line , find the intersection of both and…

Q: Provide inequalities that describe the region bounded by Z 3, y 0, y = 4-x, andz=0, as pictured…

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Q: In Exercises 13-16, determine whether or not the region bounded by thecurves is vertically simple…

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Q: 3. Sketch the region {(x,y) | 0< y < 4, <x < 9 (Hint: graph all of the four "curves".) R =

A: Given regions are,

Q: 22 Evaluate f, e-(x²+y?) dx dy, where R is the region x? + y? < a?.

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Q: 2) Find the area of the region bounded by two parabolas x = y2 - 5y, and x=3y - y? . Specify the…

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Q: Sketch the region bounded by the graphs of 6x+4y= 14 and 4y+6x-2=0, then find its area.

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Q: Describe in words the region in R³ that satisfies 2x - z² ≤ x² + y² ≤ y² + 10

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

Q: x = 4 – y? ;x = 4 – 4y

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Q: Sketch the region in the xy-plane defined by the inequalities x- 5y 2 0, 2 - x - 9lyl 20 and find…

A: Graph of the curves÷

Q: Sketch the region given by the set. {(x, y) | x = −1}

A: In the question it is asked to draw the region given by the set {(x, y) | x = −1}.

Q: Suppose that candy costs $4 per pound and cashews cost $5 per pound. Let x be the number of pounds…

A: We have given,Cost of candy = $4 per poundCost of cashews = $5 per pound

Q: 3. Consider the region, R, bounded by the graphs of y = x and y = √√x. a) Make a sketch of R.

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Q: d the area of region between twe nctions flx)= oinx, Sc)=cosax,-LXLI

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Q: 2. Determine k if the enclosed region has area y. - y = k 5급 units?.

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Q: Sketch the region. s= {(x, y)\x 2 -2, 0sys se2 y 14 12 600 10 8 400 4 200 O-2 4 6 8 10 2 4 8 10 y y…

A: Given information: The area is bounded by the region S=x,y|x≥2,0≤y≤5e-x2. Graph: Draw the graph of…

Q: Find the area of the region bounded by the graphs of the equations.

A: Find area of region.

Q: Consider the region K = {x² + y² + z? 0, y 0, z < 0} Choose ALL OF THE FOLLOWING which are…

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Q: 2: For the region R enclosed by the lines y dy = 2? y y=x y=-x y=2 2 2 6 x, y = x

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Q: 4. Evaluate 15x-6ydA where D is the region bounded by x=ty and x=

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

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Q: -؟ 3) Sketch the region and evalute the integral ) 4-2 355 4-2 derdu cateplome( ي لباد فية التكامل…

A: Given integral is ∫03∫14-2u4-2uv2dvdu. Sketch the double integral region in uv-plane.

Q: 5. Determine the area of the region bounded by y = 2x² + 10 and y = 4x + 16. %3D 28 24 y= 4x+16 20…

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Q: y=√x, x = 4, and the x-axis.

A: Consider the given function y=xand the x-axis

Q: * and Let R be the region bounded by the graphs of Ci: ]y C2: (y – 4)² = -4(x – 6). Find and solve…

A: Given : R be the region bounded by the graph of curves C1 : y - 1 = 12x and C2 : y - 42 = -4x - 6…