In words, explain the process of computing for areas of regions bound by curves.

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

A: Given f(x)=4-x2,  g(x) = x2+2 , h(x)=2-x   and  the interval [-1, 2] To understand the problem…

Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - (x2/4), -2 ≤ x ≤…

A:

Q: Determine the area of the given region under the curve.

A: see the attached file for a detailed solution.

Q: What is the area of the shaded region of the circle, bounded by the x-axis and the line y=-x,…

A:

Q: Find the areas of the regions enclosed by the following curves. = 2sin 20

A: To find the area of the region enclosed by the following curve.r=2 sin2θ

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

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

Q: Sketch the region bounded by the graphs of the equations (include representative rectangle) and find…

A:

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

A: The equations of the given curves are:

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: Find the area of regions enclosed by curves y x3 – x + 3 and y = x2 + 5x + 3.

A: Given equations of the curve are:                              y=x3-x+3&amp; y = x2+5x+3

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

A:

Q: In words, explain the process of computing for areas of regions bounded by curves.

A: let us we have two curves f(x) and g(x). 1. we equate f(x)=g(x) to evaluate intersection point of…

Q: Define the term given nonrejection region

A:

Q: Find the area oF the loop OF the curve. given

A: Integration is the process of finding the anti-derivative function of the given function. The…

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

A: Consider a rectangle which is on the region bounded by the lines y=x+4 y=-x+4  and X-axis   Let…

Q: Explain why it is important to determine all points of intersection of two curves when finding the…

A: To find the area between two curves you should first find out where the curves meet, which…

Q: Sketch a region, R that lies inside the circle x + y =2 and above the line y=1|

A:

Q: Find the area of the region enclosed by x = 9- y² and x = 5.

A:

Q: Find the TOTAL area of the region between the curve and the x-axis.

A:

Q: Compute the area of the region enclosed by the x-axis and the curve y = x3 - 7x2 + 10x

A:

Q: Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3. square…

A: The given function is, fx=-x2+2x+4 and gx=-x+4 To sketch the function. To find the area of the…

Q: Find the area of the region bounded by the graph of

A: GIven,          f(x)=abx-x2, and  g(x)=cx Here,        a = 4, b =8, and c = 5

Q: Find the total area of the region between the curve and the x-axis.

A: Given curve, y=x3-4x;  -2≤x≤2Since x is a factor of the function the curve passes through origin.

Q: Find the area of the region enclosed by these graphs and the vertical lines x = 1 and x = 4. X…

A:

Q: Find the areas of the regions enclosed by the lines and curves  1. y = 7 - 2x2  and y = x2 + 4 2.y =…

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question…

Q: perimeter of the region bounded

A:

Q: y = 4x,_y = 4x – 2

A:

Q: Find the area of the bounded region

A: Given parabola is y=x2. Given point is 2,4 Differentiating the given curve with respect to x, we get…

Q: y = xe¯,y = x + 1, x = 2, and the y-axis.

A: lets plot the graph of the given functions

Q: You have 276 feet fencing to enclose a rectangular region.What is the maximum area??

A:

Q: Determine the area of the shaded region bounded by y = 30sinx y= 30cosx

A: Given:    y=30sinx, y=30cosx

Q: Use inscribed and circumscribed rectangles to find the area of the region to the right of the line x…

A: Concept: the area between the region y=f(x) and ==g(x) on the interval [a, b] Let us assume that…

Q: Find the areas of the regions enclosed by the lines and curves y = x2 and y = -x2 + 4x

A: Consider the given curves y=x2                               …1y=-x2+4x                    …2 First,…

Q: Find the areas of the regions enclosed by the lines and curves y = x4 and y = 8x

A: Write the equations of the curve and the line. fx=8x and gx=x4

Q: Use Desmos graphing calculator to sketch the area of the region bounded by the curves

A: Given,          The two curves are x=4-y2 and x=4-4y.

Q: . Find the area of the region enclosed by the graphs of x = y^2 and y = x − 2

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

Q: Sketch the graph of the region enclosed by y = 4 – x² and y = -x+2 and calculate its area.

A: From the given curve bounded region is shown below:     Now finding the point of intersection:…

Q: Find the areas of the regions enclosed by the curves and lines √x + √y = 1, x = 0, y = 0

A: To Find: Area of the regions enclosed by the curves and the lines x+y=1, x=0, y=0. Concept: AreaA…

Q: the smaller region bounded

A: Given equations are:  x2+y2-6ax=0x+y=6a The small bounded region is rotating about the line x=0.

Q: Determine the enclosed area by the curve 9x² + 25y² - 225 = 0

A:

Q: Find the areas of the regions enclosed by the lines and curves x = y3 - y2 and x = 2y

A: Given that, x=y3-y2x=2y

Q: Use Desmos graphing calculator to sketch the area of the region bounded by the curves The region…

A:

Q: Find the area of the donut-shaped region bounded by the graphs of (x - 2)2 + (y + 3)2 = 25 and (x -…

A: It is given that the equation of two circles are x-22+y+32=25…

Q: Find the area of the region enclosed by these graphs and the vertical lines x = -1 and x = 0. |…

A:

Q: identify the cross section that results from slicing the three-dimensional figure

A:

Q: 5. Label the curve to the right to describe the area of the curve contained in each section.

A:

Q: Draw a region that is both vertically simple and horizontally simple

A:

Q: Sketch a graph and determine the area of the region bounded by y=2x^2+10 , y=4x+16, x=2 , and x=5.

A:

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

A:

Q: Sketch the region bounded by the

A: