Example: Determine by integration the area bounded by the three straight lines y=4-x, y=3x and 3y=x

Q: 3 Shade the area of the region bounded by, x² + y? p Hence, find the area of the specified region…

A: Giv

Q: y = 2 – x2 ; y =-x

A:

Q: Find the area bounded by y = 2x + x2 - x3, the x - axis, and x = -1 and x =1

A: On solving this we will get

Q: Find its area.   y = 3/x,    y = 12x,    y = 1x/3,    x > 0

A:

Q: B) Find the area of plate bounded by y =x-1,y =3-x and y 0.

A: The area is the measure of the amount of space occupied by a plane figure. It can be expressed in…

Q: Review: what is the net signed area bounded by p (x) = –0.5x and the x-axis on [–4, 2|? Use a graph…

A: Given that: p(x)=-0.5x         and x-axis on [-4, 2]

Q: Solve for the area bounded by the graphs of y = √√x + 2, y = x + 2, x = 2, x = 4

A:

Q: Determine the area bounded by y= x< and y= 2x +3

A: We can find the area bounded by the graph and include the limits for finding the area bounded.

Q: 1= y - 4y (-3, 3) z = 2y – y -1.

A: Given the query is to find the area bounded by the curve.

Q: Determine the area bounded by f(x) = x² − × a axis. A - unit² B unit² C unit² 2 -unit? +|5

A:

Q: Solve by integration: A region is bounded between x=0, y=1, x=1, and y=(x-1)^2+1. What is the…

A:

Q: Determine the area bounded by f(x)=x²-x and x-axis. A unit² (В B (c) unit² D unit² w|m 16 H|4 unit²

A: Given that we need to find the area bounded by f(x) = x2 -x  and x- axis.  Now,

Q: Shade the area of the region bounded by, x² +y? p Hence, find the area of the specified region…

A:

Q: Find the area bounded by the given curves and lines. y? (2-a) x = -2 | x = 0

A:

Q: Find the area bounded by the curve y=4x-x? and the lines x=-2 and y=4.

A: The given equation forms a downward parabola.

Q: find the area bounded by  y= x^2/x-1 x=2, x=3 and y=0

A:

Q: A Find the area bounded by y = e*, y = xe*² & x = 0.

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: find the Area between x=y^2-2, x=e^y. Y=1, y=-1.

A: Given The region, x=y2-2, x=ey and y=1, y=-1 To find the area of the given region.

Q: Find the area bounded by y = (1 ²)² and y = 0.

A: y=(1-x2)2 and y=0

Q: Calculate the area bounded by y=x³, x=0 and y=3.

A:

Q: Find the area bounded by y = 2x²+10, y = 4.r +16, x =-3 and x =

A: To calculate: The yellow region, which represents the required area. Determine the limits of…

Q: Find the area between y = x^2 + 4, x = 1 and y = 0.

A:

Q: Find the area bounded by y = 2; y = √x + 2; and y = 2 - x. Show your solution below.

A: We are given :  y=2  y=x+2 y=2-x First of all we will plot the graph for these 3 curves.

Q: Use integration to find the area bounded by g(x) = 3x + 4 – x², x = 1, 0 < y <4,

A: As per our guidelines, we are supposed to answer only first 3 subparts of the question. Kindly…

Q: Using the fundamental theorem of calculus, find the area of the regions bounded by y= 5-x^2 and the…

A: Given: y=5-x2 and the x-axis. To find the area of the region bounded by the given curve using the…

Q: Using binary integration, find the area of \ u200b \ u200bthe area in the third quadrant denoted by…

A: Solution for a: To find the area denoted by the circle x2+y2=4 in the third quadrant. The area…

Q: ind the area bounded by the given curves. 1.) 2x+1, x+y=7, x=8 2.) y^3=x^2, x-y=2, x+y=2

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

Q: Determine the area bounded by y = x³ and y = 4x using a vertical element

A:

Q: Find the area bounded by y=(1-x^2)^2 and y=0   Solve by drawing a figure to show the bounded…

A: From the given curve the bounded region is shown below:     Now using the double integral method to…

Q: y = x2 ; y = x* y = x" ; y = X

A:

Q: Determine the area bounded by y²=x+1 and y=1-x

A: Solution of given question is written in below steps.

Q: Find the area enclosed by x - y = 0 and 5x – y = 16

A: We will solve the following.

Q: Using the fundamental theorem, find the area under the curve y = 4x3 −2x+5 and above x-axis on the…

A: Fundamental theorem: To find the area under the curve y=f(x) between x = a and x = b, simply find an…

Q: Shade the area of the region bounded by, x2 + y? p Hence, find the area of the specified region…

A: Given problem is :

Q: ind the area bounded by the curve y²=4x, the lines x=1 and x=4.

A:

Q: Find the area bounded by x2 – 6x + y = 0 and y = x.

A:

Q: Find the area bounded by the parabola y=x and the straight line y = x

A: givenparabola  y=x2line y=xlet us find intersection point of these…

Q: Find the area bounded by y = 4x - x² and y = x.

A: Topic : application of integration

Q: b) Find the area bounded by the – axis, y = x and y = 2 – x.

A: Area bounded by the curves

Q: Find the area bounded by y = 2 - x squared and y = x

A:

Q: Find the area bounded by the parabola y2= 4x, the x – axis and the lines x=1 and x=3.

A:

Q: Exercise 5 Find the area of the region in the first quadrant bounded on the left by the y-axis,…

A:

Q: Solve for the area bounded by the graphs of y = √√√x + 2, y = x + 2, x = 2, x = 4

A: Graph:

Q: Find the area bounded by y = x³ – 3x and y = -4.

A: To find the area bouded by the curves.

Q: The area bounded by the x-axis, y = x², and y = 2 - x.

A:

Q: 4ay = x2, and y = x + 3a

A:

Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2 *

A: The given problem is to find the area bounded by given region and between the given lines y=-2 and…