Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Find the area of the region bounded by y=1/x^2, y=4, and x=5. Use any method/

Sagot :

Answer:

81/5

Step-by-step explanation:

See image.

I always think drawing these out helps.

I had to find lower limit for x by finding when 1/x^2=4

x^2=1/4

This implies x=1/2 since in the picture x is positive.

We need to evaluate

Integral( 4 - 1/x^2 , from x=1/2 to x=5)

Or

Integral( 4 - x^-2 , from x=1/2 to x=5)

=4x+x^-1 ] from x=1/2 to x=5

(4×5+5^-1)-(4×1/2+(1/2)^-1)

(20+1/5)-(2+2)

20-(2+2)+1/5

20-4+1/5

16+1/5

81/5

View image freckledspots
We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.