Question

In: Math

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x...

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle.

y = 2/x,  y = 2/x2,  x = 7

And also find the area

Solutions

Expert Solution

First, by finding the point of intersection of the given curves, we have sketched the graph to identify the region R bounded by the curves y=f(x)=2/x and y=g(x)=2/x​​​​​​2 and the line x=7.

Then, the Area of the region R=

The step by step explanatory solution is provided below.


Related Solutions

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x...
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating rectangle. y = 2 + 2 sqrt(x) , y = (6 + x) / 3
Sketch the region enclosed by the given curves. y = 8 cos 8x,  y = 8 −...
Sketch the region enclosed by the given curves. y = 8 cos 8x,  y = 8 − 8 cos 8x,  0 ≤ x ≤ π/6 I already have the sketch however I need its Area A) Find its area
Sketch the region in the first quadrant enclosed by y=2/x , y=3x, and y=1/3x. Decide whether...
Sketch the region in the first quadrant enclosed by y=2/x , y=3x, and y=1/3x. Decide whether to integrate with respect to x or y. Then find the area of the region. Area = Find the area of the region enclosed between y=4sin(x) and y=2cos(x) from x=0 to x=0.4π Hint: Notice that this region consists of two parts.
1.Sketch the region enclosed by the graphs of each of the following curves, and determine the...
1.Sketch the region enclosed by the graphs of each of the following curves, and determine the area of the region enclosed by the graphs of the functions: y=x^2 y=4x-x^2 2. Find the area between the graph of  and the x axis on the interval [-3, 1].
Sketch the region enclosed by the given curves and find its area. a) y=4/x,y=4x,y=(1/4)x,x>0 b) x=y2−4y,x=2y−y2
Sketch the region enclosed by the given curves and find its area. a) y=4/x,y=4x,y=(1/4)x,x>0 b) x=y2−4y,x=2y−y2
Consider the region R enclosed between the curves y = 2 /x and y = 1,...
Consider the region R enclosed between the curves y = 2 /x and y = 1, between x = 1 and x = 2. Calculate the volume of the solid obtained by revolving R about the x-axis, (a) using cylindrical shells; (b) using washers
Sketch the region and find the area completely enclosed by the functions f(x)=x2-1 and g(x)=1-x
Sketch the region and find the area completely enclosed by the functions f(x)=x2-1 and g(x)=1-x
a. Find the volume of the solid obtained by rotating the region enclosed by the curves...
a. Find the volume of the solid obtained by rotating the region enclosed by the curves y = 4 x^2 , y = 5 − x^2 about the line y = 11 b. Find the volume of the solid obtained by rotating the region enclosed by the graphs about the given axis. y = 2sqt (x), y=x, about x=-20. Please leave your answer in fraction if possble
Sketch and find the area of the region bounded by the curves ?=?+? and ?=?2−?.
Sketch and find the area of the region bounded by the curves ?=?+? and ?=?2−?.
2 (a) Differentiate and integrate the following equations with respect to x: x2 + x –...
2 (a) Differentiate and integrate the following equations with respect to x: x2 + x – 12 = 0 (b) cos(x) + sin(x) + 15x3 = 0 3% (c) e2x + 5x2 = 0 3% (d) Differentiate the following with respect to x: x + x2ex – 15x = 0 3% (e) x3 + 4x2 cos(x)
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT