13. Find the number b such that the line r = b divides the region bounded by the lines y = 1, y = 2x and I = 1 into two regions with equal area.

Q: 6. Find the area of the region enclosed by the graphs of y = Vx+1 and y = }x – 2 and the vertical…

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Q: Find the areas of the regions enclosed by the lines and curves x = 2y2, x = 0, and y = 3

A:

Q: 2) a) Consider a rectangle which is on the region bounded by the lines y=x+4, y=-x+4 and X – axis.…

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Q: Find the three areas of the region bounded by y=2x^2+10, y=4x+16 and the lines x=-2 and x=5.

A: Given: y=2x2+10y=4x+16x=−2x=5

Q: 2) a) Consider a rectangle which is on the region bounded by the lines y = x+4, y =-x+4 and X -…

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

Q: Find the areas of the regions enclosed by the lines and curves x + y2 = 0 and x + 3y2 = 2

A: Consider the curves ,x+y2=0 and x+3y2=2To calculate the area of the region enclosed by the given…

Q: 19) The region in the first quadrant bounded on the left by the circle x2 + y2 = 1, on the right by…

A:

Q: The region R lies on the lines x – y = 8, x + 7y = 8, x - y =| and x + 7y =

A:

Q: 6. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3. Then the area…

A:

Q: 1. Find the areas enclosed by the y-axis and the following curves and straight lines: b. x= y(y-2),…

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Q: 1- Find the areas of the regions enclosed by the lines and curves: y=r-2 and y= 2 1- y = x* and y =…

A: As per the guidelines we can solve 2 problems only

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

A:

Q: 5- Determine the area of the region enclosed by the curve y-3- V, and the lines y-5- z, x-axis and…

A: We have to determine the area of the region bounded by the curve y=3-x and the line y=5-x, x-axis…

Q: The region between the graphs of y = x² and y = 3x is rotated around the line x = 3.

A: Given data:   The expression first curve is: y=x2. The expression for the second curve is: y=3x. The…

Q: Find the number  b such that the line  y = b divides theregion bounded by the curves y = x 2  and y…

A: Given Data The equation of curve is y=x2. The equation of line is y=4. The equation of another line…

Q: Find a vertical line x=k that divides the area enclosed by y=x^2, x=2, and y=0 into two equal parts.

A: Given,

Q: Find the region bounded by the parabola x = y - 8 and the line y = x - 12. O 163.5 121.5 103.5…

A:

Q: 1. Find the area of the trapezoid that is the region bounded by the lines x = 1 and x = 3, the x…

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

A:

Q: Given y = 3x –- 2x +1, y =-x² + 2x +1 and a straight line y = 0.5x ; where x>0, 1. Sketch the curves…

A: Given y=3x3-2x2+1  , y=-x2+2x+1 and a straight line y=0.5x. We need to : 1) Sketch the curves and…

Q: rotate the region bounded by y=2x+1, x=4 and y=3 about the line x=-4

A: Solution:-

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

A:

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

A:

Q: 4. ) Compute the area of the region enclosed by the lines y = x and y = x and the curve x = 10 –…

A: Use double integral to solve this problem.

Q: The area bounded by the curve y = 10x and the lines z = 7,x = 11 and a – axis is O 850 square units…

A: Given y=10x,x=7,x=11 and x-axis  Area= integral a to b f(x) dx  Let y=f(x)=10x then find area…

Q: 1/ Find the area of the region enclosed between the curves y= 2x²+10 and y=4x+16 and ,x=-2 and x-5?…

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Q: If A is the area bounded by y = 4 − x^2 and the x-axis, find the horizontal line y = b (not…

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24…

A: Given y2=4x X=1 and x=4

Q: Find the areas of the regions enclosed by the curves x + 4y2 = 4 and x + y4 = 1, for x ≥ 0

A: Solution:-  we have to find the are of the region bounded by the region bounded by the curve  a)…

Q: R is the region bounded by x2 + y – 4 = 0 and x – y +2 = 0 and it is revolved about y = 0.

A:

Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4 O 63/2 square…

A: Please refer to the image below

Q: Find the area of the region bounded by y = -4x + 9, y = 2x? – 11x + 9, and the lines x = -2 and x =…

A:

Q: D be the region that consists of points (x, y) such that x² + (y - 3)² ≤9. Then, (x² + y²) dA equals…

A: see my solution

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y= x³ + 3x².

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

Q: How many square units is the area of the region bounded by the two curves y = x^2 - 4x and y = x^3 -…

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Q: he area bounded by y = |x| and the lines x = 1 and x = 1.7 is

A:

Q: Find the area of the region bounded by the curve 2-4r and the lines x = 1 and x = 4. 63/2 square…

A:

Q: Find the area of the region bounded by the curve y2–4r and the lines x = 1 and x = 4. 24 square…

A: area of the region can be obtained by definite integral of the function within given limits. here we…

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

A:

Q: 1- Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x.

A: To. Find thhe area of enclosed region

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

A: Given,    y = x,  y = 4  and  x = 0 So the region bounded by these curves is given by shaded region…

Q: Areas of regions Find the area of the following regions.

A: Given that, y=10x2-2x-24

Q: Find the area of the region bounded by y=−4x+ 9, y= 2x^2−11x+ 9, and the lines x=−2 and x= 5.

A: The area of the region bounded by two curves y=fx and y=gx, where a≤x≤b, can be calculated by using…

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

A:

Q: R is the region bounded by y = x², y = 4x - x² and the line x = and it is revolved about y = 0.

A: Given regions are, y=x2y=4x-x2y=0 Now, using Washer method by the formula, V=π∫abR2-r2dx

Q: R is the region bounded by y = -x² – 3x + 6 and x + y – 3 = 0 and it is revolved about x = -4.

A: Given that, R is the region bounded by y=-x2-3x+6 and x+y-3=0 and it is revolved about x=-4

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

A:

Q: (b) Find the areas of the regions enclosed by the line Y=* and curve y=x-3x

A: Given: Curves y=x and y=x2-3x Definition: The area between curve f(x)≥g(x) on the interval [a, b] is…

Q: 8. Are these two regions the same? R1 = {(x, y) | 0 < x < VT, 0 < y < x} R2 = {(r, y) | 0< y< VT, y…

A: Given regions are

Q: 5. Consider the region bounded by the function y = 4x, and the lines x = 0 and x = 3 Then the area…

A: We know  that the area under the graph of a continuous function f (x) between the vertical lines x =…