Snapsolve any problem by taking a picture.
Try it in the Numerade app?
Solved step-by-step
If g(x) is positive, then the integral over the interval [a, b] of g(x) dx corresponds to the area beneath g(x) and above the x-axis. On [0, 8], the function g(x) is above the x-axis and is therefore positive. Thus, the triangle created by the function, the x-axis, and the y-axis has an area of 9(x) dx. This triangle is a right triangle with side length along the y-axis (give the numeric values) and along the x-axis and a side length of √16. Since the area of a triangle with base and height is given by bh, then our triangle has an area of g(x) dx. Enter number: Submit Skip (you cannot come back) Exercise (b): ∫9(x) dx Thus,
Submitted by Emily O. Oct. 06, 2021 04:06 a.m.
Solved by verified expert
Transcript
4 comments
Noah H.
March 16, 2023
Yo, thanks for breakin down that math problem about definite integrals and area of triangles. Appreciate you making it crystal clear!
Brandy S.
October 5, 2023
Big shoutout to Ma Theresa for the dope explanation! Its so much easier to grasp the concept now Thanks a mil
Kenneth M.
November 9, 2023
Props to the question poster for layin' out the deets on g(x) and the interval [0, 8]! Much thanks for settin' the stage for the solution!
James A.
November 16, 2023
Ma. Theresa, u absolutely killed that explanation! Thanks for makin' it relatable and easy to follow. Mad respect!