6. Given the area in the first quadrant bounded by x? = 8y, the line x =4 and the x-axis. What is the vo generated by revolving this area about the y-axis. (4,2) Y ?(4,2) (2) 10 X-3 3, 10

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

A: The area of the region enclosed by the given curves has been obtained below.

Q: 5. Find the equation of the line x = k that divides the area enclosed by the graphs of x = Vy,x = 3…

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Q: 4. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

A:

Q: 3. Find the area of the region in the first quadrant that is bounded above by y = vx and below the…

A: Solution

Q: 3. tind the area bounded by thu follo wing curves: y= X^2-4,y= 0,x = 4

A:

Q: 2. Find the area of the region bounded by the curve y = x^3 − 2x^2 − 5 x + 6, the x-axis, and the…

A: Given: y=x3-2x2-5x+6 For finding area of region bounded by given curve with x-axis and the lines…

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?…

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

Q: 9. Find in two ways the area bounded by the parabola y = x², the y-axis, and the lines y = 1, y= 4.

A: Given,  The parabola y = x2  We have to find the area bounded by the parabola, y-axis and the lines…

Q: 26. Find the area of the region bounded by the curve y = 4x – x?, the lines x = 1 and x = 3 and the…

A:

Q: 1. Calculate the area enclosed by the line y 2x + 3, the x-axis, and the lines x 1 and x- 3.

A:

Q: 1. Find the area bounded by y = 4x-x, x+2 = 0 and y = 4 using vertical and horizontal strip

A: Solution is given below:

Q: Find the area of the region:   y=7/2 sin(πx/6), y= 7/6x

A: Solution -

Q: I. FIND THE AREA BOUNDED BY THE FF CURVES AND LINES: 1. The loop of y = x *(4 - x) 2. у %3 бх - х, y…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 5. Calculate the area between the Curve fex) = 4-x² and y = 4, y = 2x_4? 20 GMS: S-U 3

A: To find the area bounded by the curves f(x)=4-x2, y=4, y=2x-4. The region bounded by the curves is:

Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

A:

Q: Find the area of the given region y = tanh 2x

A: Given curve and figure: y = tanh 2x

Q: 8. What is the area bounded by the curve y²=4x and x²=4y. A. 6 B. 7.333 C. 6.666 D. 5.333

A: Here we have to find the area bounded by the curves

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: 1. Find the area bounded by the curves y – 2 = x² ,y = 6 and the y – axis ( in Quadrant I only), as…

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Q: Find Mx and My for the first-quadrant area bounded by y2 = 4x, the x-axis and x = 4. (ans: 16,…

A: Given the first-quadrant area bounded by y2=4x, the x-axis and x = 4.

Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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: 1. Find the area of the region bounded by the ves y = x³ – 5x + 6, y = 10 – 4x – 4x2 and the line x…

A:

Q: Find the area of the region between y = 3x2 + 12 and y = 4x + 4 over [-3, 3] (Figure 12). y = 3r +…

A:

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?…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 6. Find the area of the region in the first quadrant bounded on the left by the y- axis, below by…

A:

Q: 2. Find the area in the first quadrant bounded by the curve y = 3x – x³, the lines x = 0 and y = 2.

A: Given- y=3x-x3 To Find- The area in the first quadrant bounded by the above curve, the lines x=0 and…

Q: Find the area of the given region. 5 y = 16 + x2 y 0.5 0.4 0.2 0.1 -1 1 4 -0.1 4 2.

A:

Q: Find the area bounded by the given curve and line. Show your solution below 1. y = x^2 + 3 and y = 7…

A: (1) given curve y=x2+3 and line y=7 to find the area bounded by curve and liine first of all find…

Q: What is the area bounded by the curve y² x – 4 = 0? А. 29/3 В. 30/3 С. 31/3 = x and the line %3D -…

A:

Q: 1. The area bounded by the curves y x2,y 0, x = 2,x = 5 is 39. 2 is 10

A:

Q: (b) Suppose we wish to estimate the area 3 Vĩ dx 2 using the Trapezium rule.

A:

Q: Find the area between the curve y = sec (4x) and the line joining the points (-,2) and (. 2).

A: Consider the given information: To find the area between the curve and the line joining the points.

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

A: Area under curve

Q: 4 Find the area bounded by Y = 0, y = 0, x = 2. || 144 – 16x² Round to four decimal places.

A:

Q: 6. What is the area bounded by the curve x²-9y and the line y+1=0. A. 6 C. 4 B. 5 D. 3

A: Given: x2=-9yy+1=0

Q: 3. xy = a², y = 0, x = a, x = 2a.

A:

Q: 1. Calculate the first quadrant area bounded by the following curves: y = x2 + 2, y = 4 and x = 0.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 9:(a): Find the area bounded by the curve y² = -x, the line y = x, and the line y= 2.

A:

Q: 1. yA 2. y=Vx (1, 1) x=4 s y=D1/x²

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: 4 / Find the area of the region enclosed between the curves y%3= cos 2x, y=0, x-TT/4, x- TT/2 ? ans/…

A: we allowed providing one solution at a time. Please upload the rest questions seprately.   Question…

Q: 2. Find the area of the region enclosed by the parabola y = 2 – x² and the line y = -x.

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Q: Find the area of shaded region by using Trapezoidal rule YA 2.5 x = y 1.5- 1- y = In 2 0.5- x= e?y…

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Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…

Q: Find the area of the region bounded by the graphs of the given equations. y= 3x+4, y=x?

A: Given, y =3x+4  and  y = x2  We have to area of region bounded by graphs of the y =3x+4 and y = x2

Q: What is the area bounded by the curve x^2=-9y and the line y+1=0. O 3 O 4 O 5

A: Given equations: x2=-9yy+1=0

Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…

Q: Find the area bounded by the curve y=x^2 and the line y-4=0. O A. 16/3 В. 32/3 О с.0

A: