Slaya

The department of water resources is measuring the width of a flood plain, as shown by f(x). The water measurements (x) are taken in 15 foot increments as shown in the table below: x: 0 | 15 | 30 | 45 | 60 | 75 | 90 | 105 | 120 | f(x): 0 | 18 | 24 | 30 |...

An object's movement has a velocity given by v(t) = t^2-5t+5 A) What is the position function for the particle at any time t≥0? For this section I calculated the anti derivative, which is \frac{1}{3}t^3-\frac{5}{2}t^2+5t+C (At least I think it is) And I'm...

Find the area of the region bounded by the curves y = sin x, y = csc^2x, x = pi/4, and x = (3pi)/4.

For a continuous function f(x), f(1) = 11, and integral 1 to 5 f'(x)dx = 9. Determine f(5). Help is greatly appreciated!

a water tank is created by revolving the graph y=1/x about the y-axis, with the bottom of the tank at y=1. the volume of the tank is given by [v(h) = the integral from 1 to h of (pi/y^2)dy] where h is the height of the water in the tank. Initially, the ta...

The region R is the region in the first quadrant bounded by the curves y=x^ 2 -4x+ 4, x = 0 , and x = 2, as seen in the image attached below: ibb.co/WgrRRRL Find a value h such that the vertical line x = h divides the region R into two regions of equal ar...

The anti derivative i got is 1/3t^3 - 5/2t^2 + 5t + C

Thank you!

Thank you.