Step1 a) Sa) Given

Q: Chapter 6, Section 6.2, Question 019 Find the valume of the sold whose base is the region bounded…

A: The given curve is, y=x3

Q: bounded

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Q: If a rectangle has its base on the r-axis and two vertices on the curve y = e-", show that the…

A:

Q: A right triangle has legs of length h and r and a hypotenuse of length 6. It is revolved about the…

A: This question is related to 3D geometry. Solve in step 2.

Q: Sketch the region in the xy-plane defined by the inequalities x- 4y 0, 2- x - 7lyl 20 and find its…

A: Given region are   x-4y2≥0 and 2-x-7|y|≥0

Q: Sketch the region bounded by the graphs of y = x² and y = 2-x then find its area. Maximum stze

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

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Q: sketch the regions bounded by z=0.67 and z=1.56 and find its area. show your solution in your paper

A: The standard normal distribution is a bell shaped distribution which is centred at the mean 0. The…

Q: Find the area of the region bounded by the graphs of the equations. y = 4x + 2, x = 0, x = 2, y = 0

A:

Q: Find the area bounded by the arc square root x + square root y = 7, the x axis, and the line joining…

A: Given curves are                                                   1x+y=7, y=0, points (16, 9) &…

Q: What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round…

A:

Q: A covered box is to be made from a rectangular sheet of cardboard measuring 35 inches by 56 inches.…

A: Solution: According to the question the diagram will be

Q: Sketch the region in the xy-plane defined by the inequalities x - 2y2 ≥ 0,   1 - x -| y| ≥ 0, and…

A: Now the graph is,

Q: Find the of the region bounded by the parabolas y – 6x = -x² and y + 2x = x² , area

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Q: Compute area of the region bounded byx2+ (y−1)2= 9 andy=x+ 1 and the (horizontal) liney= 1 (we…

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Q: Describe the region with bounds 0 < ¢ < 2' <0< π, 0<ρ<4 2

A: Definition used -                   Spherical coordinates-            Here ρ is the radial distance…

Q: Sketch the region bounded by the graphs of y = 9- and y = 6- x, then find its area. 2

A:

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

A:

Q: 7. Find the radius of gyration of a plate covering the region bounded by y3,x 2, and the x-axis with…

A: Formula used:Radius of gyration, moment of inertia and area under curve with reference to y axis is…

Q: As a hardworking student, plagued by too much homework, you spend all night doing math homework. By…

A: Region bounded by the curves

Q: 3. Find the dimensions of the right-circular cylinder of greatest volume that can be inscribed in a…

A: This is a problem of the Application of differentation.

Q: Find the area of the region bounded by the graphs of the equations. 3 y = 5 + Vx, x = 0, x = 8, y =…

A: The solution is given below:

Q: Sketch the region bounded by the given curves, then find its area. y = 12 - 3x^2, y = 4 - x^2

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Q: Find the area of the region bounded by the graphs of the given equations. y​ = 5 - x^2, y = 5 - 5x

A: Given that, Two equations are following, y = 5 - x2  and y = 5 - 5x We have to find the area bounded…

Q: Find the area. of. the region.. R. bounded by the graphs.of gilen equations I, 4=1-x X= 0 and x=2…

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Q: Solve for the region bounded by y=9-x^2 and y=x^4.

A: To find- Region bounded by the given curves.

Q: The area of region bounded by the parabola y2 = 4x and the line %3D y = 2x – 4 is

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4 .

Q: The area of region bounded by the parab y = 2x – 4 is

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function…

Q: Find the area of the region bounded by the graphs of the equations.                   y = −x2 + x +…

A: we have to find the area of the region bounded by the graphs of the equations: y=-x2+x+6y=0 as we…

Q: What is the area of the region enclosed by the curve y=x^2 and the lines y=x+6, x=0 and x=5?

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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 the functions sec"(). y - 9 -,- -1, x1 ALA 10 10

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Q: Find the area of the region bounded by the graphs of the equations. 9 x = 1, x = e, y = 0 x

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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: Show that the region bounded by y = 2 cos x, y = sin x, 3/2 -1. x = 0, x =- has area 2

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Q: Sketch the region enclosed by the given curves and find its area. x = y4,  y = square root of (2 -…

A: We first sketch the region using a graphing calculator

Q: Find the area of ​​region R bounded by y = 2x, y = 5x and y = 5 in the first quadrant  NOTE: The R…

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Q: 7. Show that a closed rectangular box of maximum volume having a prescribed surface area S is a…

A: Let the volume function be V=lbh and the surface area is 2lb+bh+lh=S. Take the constraint to be gl,…

Q: 4. Region bounded by Y = x rotated about the y-axis ,x%30 and y=15,

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Q: Find the area of the region bounded by the graphs of the equations. 3 y = 2 + Vx, x = 0, x = 8, y =…

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Q: Sketch the region bounded by the graphs of y-6=2x²-8x and y+2x² = 4x+6, then find its area

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Q: Find the area.of.. the region. R bounded by the graphs of gien equations 2. 4.= X +2 draw.and.…

A: As we know the area bounded by curves can be calculated using the definite integral, as we will…

Q: 9. Find the demensions of the right circular cylinder of largest volume that can be inscribed in a…

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Q: 1) Determine the area of the region bounded by y= 2x, y = 3x – x

A: We first sketch the region using a graphing calculator.  From the graph we see two symmetric parts.…

Q: Find b such that the line y = b divides the region bounded by the graphs of the equations into two…

A: Given: y = 9 - x2,  y = 0 To find: The value of b such that the line y = b divides the region…

Q: Sketch the region bounded by the given curves, then find its area. x = 8 - y^2, x = y^2 - 8

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Q: y у 3 х3 + х, х%3D 2, у — 0 y = 0

A: Substitute 0 for y in the equation y=x3+x and simplify, to obtain the limit of x.…

Q: Right circular cones of height h and radius r are attached to each end of a right circular cylinder…

A: Let Vcr be the volume of the cone and Vc be the volume of the cylinder. So, Vcr=πr2h and Vc=13πr2h.

Q: | Sketch the region bounded by the graphs c y = 3e*,y= 3–x,y= 2x+0, and x=2. Then compute th area.…

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Q: Sketch the region bounded by the graphs of the equations and find its area. y =x² +1; y=x+1

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