Find the area of a region bounded above by the curve y = x' and below by y = 0 over the interval [0, 3]. %3D

Q: Find the area bounded by the graphs of y = 4- x^2 and y = x - 5 between x= 0 and x= 2. Sketch the…

A: Given query is to find the the area of region bounded by the curves.

Q: y = ln x and x - y -4 = 0

A: Explanation of the answer is as follows

Q: Find the area of the region bounded by the curves.  y = x(x2 - 1) and the x-axis

A: Given curves are, y=x(x2-1)and the x-axis y=0 .   First, find the intersection points:…

Q: Find the area between the curves y = e Area - 0.7x and y = 1.3x + 1 from x=0 to x=2

A: The area between the curves y=e-0.7x and y=1.3x+1 on interval 0, 2.

Q: Find the area between the curves y – 0.5x = e and y = 2.1x + 1 from x=0 to x=3 Area

A: Explanation of the answer is as follows

Q: Set up the definite integral required to find the area of the region between the graph of y = 20 –…

A:

Q: Find the exact area of the region that lies under the curve given by y = 10/2x +1, 0<x <1 %3D

A: We know the area of the region that lies under the curve  y=f(x),  a≤x≤b is given by Area =∫aby dx…

Q: 3. Find the area of the region bounded by the curves y = x² and y = cos(x). Give your answer correct…

A: The region bounded by the curves y=x2 and y=cos x

Q: Find the area of the region bounded by the curve y = xe-x and thex-axis from x = 0 to x = 4.

A: Area under curve = ∫aby dx

Q: Approximate the area under the curve y = x° from x = 0 to x = 2 using a Right Endpoint approximation…

A: We divide the interval [0,2] in 4 sub intervals . And we calculate values of f at right end points…

Q: Determine the area of the region between the two curves by integrating over .the y-axis X = y2 and x…

A: Area of the region between the two curves x1(y)  and  x2(y) is given by ∫abx1-x2dy    where a≤y≤b

Q: 2. Find the area between the curves y = Vr -1 and r - y = 1.

A: Given curve is y=√(x-1) and y=x-1

Q: Find the area of the region bounded by the curve y = xe* and the x-axis from x = 0 to x =3 1 0.5 y =…

A:

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: Determine the area of the region between the two curves by integrating over the y-axis. x = y² and x…

A:

Q: 3. Find the area of the region bounded by the curves y = 1 (x+1)2/ the x-axis using vertical strip.…

A: Solution :

Q: Find the area bounded by the curve y = 4+2x+z² and x-axis from z=-3 to z = -1. Area of the region -

A: Given query is to find the area of the region bounded by y=4+2x+x2  and x-axis from x=-3 to x=-1

Q: Find the area of the region enclosed by the curves y = x² and y 4.x by integrating with respect to…

A:

Q: Find the area of a region bounded above by the curve y =r' and below by y = 0 over the interval (0,…

A: The region is bounded above by the curve y=x3 and below by the curve y=0. Since the region is over…

Q: Find the area bounded by the curve y = e^x , y = e^-x and x = 1, by integration.

A:

Q: 15. Find the area of the region enclosed by the curve x = y³ – y' and the line x = 2y. (Hint: Need…

A: We are asked to find the area of the region

Q: Find the area between the curves y= e 0.8z and y = 1.5x + 1 from x=0 to x=5 Area =

A: We have to find the area between the curves y=e-0.8x and y=1.5x+1 form x=0 to 5.

Q: Find the area of the region enclosed by the curves y = x² and Y = 5x by integrating with respect to…

A: We have to find the area of the region.

Q: Approximate the area under the curve y=x^2 from x=0 to x=3 using a Right Endpoint approximation with…

A:

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

A:

Q: Find the area of the region between the curves y = x and y = x². Area between curves =

A: It is given that,  y1=x and y2=x2 Therefore,                    x2=x⇒x2-x=0⇒x(x-1)=0 ∴  x=0,1…

Q: Find the area of the region by bounded by y = 4x and y = 2x – 4 by integrating with respect to y.…

A:

Q: Approximate the area under the curve y = x² from x = 1 to x = 3 using a Right Endpoint approximation…

A:

Q: Find the area of the region bounded below by the x-axis and above by the curve x = 5 sin (0), y = 2…

A:

Q: Find the area of the region between the curves y |Jx and y x2-2 | Area between curves

A: Given,

Q: Approximate the area under the curve y = x³ from x=2 to x = 5 using a Right Endpoint approximation…

A: Right Riemann sum (Right Endpoint approximation): ∫abfxdx=∆xfx1+fx2+fx3+....+fxn-1+fxn Where,…

Q: Find the area of the region bounded by the x-axis and the curves y = 2 sin(x) and y = 2 cos(x) where…

A: First draw the graph of the both function and define the required area to be calculated.

Q: Approximate the area under the curve y=x^2 from x=3  to x=6 using a Right Endpoint approximation…

A: Given: y=x2

Q: 4. Find the area of the region bounded by the curves x-y² = 0 and x+2y² = 6.

A: Hence, the area of the region bounded by the curves x-y2=0 and x+2y2=6 is 82 square units .

Q: Sketch the region bounded above by the curve 7e- sin(Tx), the x-axis, and x = 1, and find the area…

A: Given,

Q: Find the area of the region enclosed by the curves y = x² and y = 3x by integrating with respect to…

A:

Q: Find the area of the region between the curves x 2y and x + y = 1. Area between curves =

A: Given curves are x = 2y2  and x + y = 1 Here we have to find the area between the curves.

Q: 3. Find the area of the region bounded by the curves x= tan y and x=-t -tan' y, -< ys

A:

Q: Sketch the region enclosed by the curves and find its area. y=e^x, y=e^3x, x=0, x=ln 3

A: The area between the y=f(x)  and  y=g(x)  on the interval [a,b] is given by,∫abf(x)-g(x)dxWhere,…

Q: Find area of the region under the curve y=x^3−9 and above the x-axis, for 5≤x≤7. area=

A:

Q: Find the area under the curve y = xe for x > 1. area %3D

A: Given curve is y=xe-x for x≥1 Apply the area formula  ∫01xe-x dx      ⇒∫01xe-x dx⇒(-x-1)e-x01⇒1-2e-1…

Q: Find the area bounded by the curve y = 63xe 63x and the x-axis from x = 0 to x = 4. %3D

A: To calculate Area bounded by curve y = 63xe-63x We need to use the method of integration to…

Q: Find the area of the region bounded below by the x-axis and above by the curve æ = 4 sin (0), Y = <…

A: The graph of a set of parametric equations can be obtained by finding the rectangular form of the…

Q: Find the area of the shaded region 1. 1.4 bounded above by y = 2, bounded below by y = cos(x) + 1,…

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

Q: Find the area of R - region bounded by the curve y = 1/x2 and the lines y = x and y = x/8 O 1

A: Given: The curve y = 1x2 and the lines y = x and y = x8. To find: The area of the region bounded by…

Q: Find the area of the region between the curves y = x and y Vx. Area between curves =

A: Find the intersection point and identify which curve is above and which curve is below and then find…

Q: Find the area of the region by bounded by y- 4x and y = 2x – 4 by integrating with respect to y. %3D…

A:

Q: Find the area of the region bounded by the curves y = x2 – 12, from below; y= 20 – x2 from above.

A:

Q: Find the area of the region between the curve y =53-* and the interval [0,2] on the x-axis.

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.