23. Volume of water in a swimming pool A rectangular swimming pool is 30 ft wide and 50 ft long. The accompanying table shows the depth h(x) of the water at 5-ft intervals from one end of the pool to the other. Estimate the volume of water in the pool using the Trapezoidal Rule with n = 10 applied to the integral 50 V = 30 - h(x) dx. Position (ft) Depth (ft) Position (ft) Depth (ft) h(x) h(x) 6.0 30 11.5 5 8.2 35 11.9 10 9.1 40 12.3 15 9.9 45 12.7 20 10.5 50 13.0 25 11.0

23. Volume of water in a swimming pool A rectangular swimming pool is 30 ft wide and 50 ft long. The accompanying table shows the depth h(x) of the water at 5-ft intervals from one end of the pool to the other. Estimate the volume of water in the pool using the Trapezoidal Rule with n = 10 applied to the integral 50 V = 30 - h(x) dx. Position (ft) Depth (ft) Position (ft) Depth (ft) h(x) h(x) 6.0 30 11.5 5 8.2 35 11.9 10 9.1 40 12.3 15 9.9 45 12.7 20 10.5 50 13.0 25 11.0

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

See similar textbooks

Similar questions

8). Use the technique of completing the square to evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) 1x2 − 5x dx please show step by step .
1. An inverted conical tank open at the is to have an outside coating of thickness 0.5 cm. if the inner radius of the top is 8 meters and altitude is 12 meters , find the differentials the approximate amount of coating material to be used2. The measurement of an edge of a cube is found to be 10 cm with a possible error 0.0012 cm. use differential to find the approximate error in computing from this measurement in the volume in the surface area.3. The radius of a circle is to be measured and its area is computed. If the radius can be measured to 0.003 cm and the area must accurate to 0.01 sq. cm, find by differentials the maximum radius for which this process, can be used.
Estimate the value of the integral ∫0 2 (3^x−4)dx using the Trapezoidal rule with 4 intervals. Keep four decimal places in your answer. Please answer ASAP thank you.
Solve using iterated integrals. (with graph) Find the smaller area cut from the circle x2 +y2 = 25 and x=3
Find the area of the region bounded by the curve x³ x² + 2xy - y² = 0 and the line x = 4. (HINT: Solve the cubic equation for y in terms of x, and express y as two functions of x.)
A basketball player makes a successful shot from the free throw line. Suppose that the path of the ball from the moment of release to the moment it enters the hoop is described by y = 2.15 + 2.09x −0.41x2,0 ≤ x ≤ 4.6 where x is the horizontal distance (in meters) from the point of release, and y is the vertical distance (in meters) above the floor. Use a CAS or a scientific calculator with a numerical integration capability to approximate the distance the ball travels from the moment it is released to the moment it enters the hoop. Round your answer to two decimal places.
A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the moment it is struck to the moment it hits the green is described by y = 12.54x −0.41x² where x is the horizontal distance (in yards) from the point where the ball is struck, and y is the vertical distance (in yards) above the fairway. Use a CAS or a calculating utility with a numerical integration capability to find the distance the ball travels from the moment it is struck to the moment it hits the green. Assume that the fairway and green are at the same level and round your answer to two decimal places.
The curves f(x)= 3-x^2 and g(x) =e^(2x)-1 are shown in the figure. Let R be the shaded region bounded by the graph of f (x), g(x) and the y-axis. The vertical line x=k divides R into two regions where the area of the region to the left of the line x=k is (2/3) the area of the region to the right of the line. Write, but do not solve, an equation involving integral expressions whose solution gives the value of k.
use the trapezoidal rule to approximate the integral 4 0 ln(1+e^x)dx with n=8. round your answer to 6 decimal places
16) Evaluate using Substitution or Integration by Parts. (show full work)
The curves f(x) = 3-x^2 and g(x) = e^2x-1 are shown in the figure. Let R be the shaded region bounded by the graph if f(x), g(x) and the y axis. The vertical line x=k divides R into two regions where the area of the region to the left of the line x=k is 2/3 the area of the region to the right of the line. Write, but do not solve, an equation involving integral expressions whose solution gives the value of k.
5. Use the method of partial fractions to evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where appropriate.) 2x2 + 4x + 22 x2 + 2x + 10 dx PLEASE SHOW STEP BY STEP .