Give an equation representing the area of the strip you would use in a Riemann sum representing the area of the region. Then write a definite integral representing the area of the region and evaluate it exactly. Area of region T-4 т Area of circle = 81 T π h Area of stripAh-2 √81 - h² L 9 NOTE: Enter the exact answer, or round to three decimal places. Ah dh X

Give an equation representing the area of the strip you would use in a Riemann sum representing the area of the region. Then write a definite integral representing the area of the region and evaluate it exactly. Area of region T-4 т Area of circle = 81 T π h Area of stripAh-2 √81 - h² L 9 NOTE: Enter the exact answer, or round to three decimal places. Ah dh X

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter1: Getting Started

Section: Chapter Questions

Problem 21PQ

See similar textbooks

Similar questions

How many cubic centimeters (cm3) are in one cubic meter (m3)?
I. Area as a vector A. Hold a small piece of paper (e.g., an index card) flat in front of you. The paper can be thought of as a part of a larger plane surface. What single line could you use to specify the orientation of the plane of the paper (iz., so thai someone else could hold the paper in the same, or in a parallel, plane)? B. The area of a flat surface can be represented by a single vecior, called the area vector A. What does the direction of the vector represent?
What is the greatest distance on the surface of the earththat can be seen from the top of Mayon volcano whichis 2.4 kilometers high if the radius of the earth is 6370 km? (Illustrate and use trigonometric functions and identities) A. 159.7 km B. 174.8 kmC. 179.7 km D. 189.7 km
A quarter-circle plate has radius R. A triangular section is removed from the circle leaving the shaded shape shown below. The area of the figure can be expressed as some numerical factor times R². Determine the numerical factor with 3 digits. Exception: if the first digit of the numerical factor is 1, include 4 digits on your answer. R R
5. Flower power! Find the area of the region outside r = ½, but inside r = positive integer. As part of your solution, you should include a sketch of the area for a = 2 and cos(2a0), where a is a a = 3. (Hint: you may want to plot this using computer graphing software before you start in order to plan out your solution!).
Assume you have a drop of 2 cm3 falling down. A) If the drop is a cube, what is its surface area? (Hint, volume of a cube = L3. Surface area of a cube=6*L2, where L is the length of the cube, and the factor of 6 as a cube has 6 faces). B) For the same drop, what is its surface area if it is a sphere? (Hint, volume of a sphere=4/3*pi*R3. Surface area of a sphere=4*pi*R2.) C) Find the surface area to volume ratios of both objects. Which object (sphere or cube) has a lower surface area to volume ratio? Which shape does the drop favor?
Compute the following numbers to three significant figures.a. 33.3 x 25.4 b. 33.3 - 25.4c. √(33.3) d. 333.3 ÷ 25.4
Solve the ff. problems by providing a solution. Round-off your answer to the nearest hundredths (with 2 decimal places).
14. Consider the integral dx. Which of the following trigonometric substitutions would √x²- eliminate the square root from this integral? a. x = 3 sec 0 C. x = 3 tan 0 b. x = 3 cos 0 d. x = 3 sin 8 00 €
Academic Departments ETC - CIMS The components of vector A'are given as follows: Ax = 5.6 Ay = -4.7. What is the angle between vector A'and positive direction of x- axis? a. 127° O b. 90° O c. -40° O d. +40° If the magnitude of the vector product of two vectors a and b are are equal to 0, then what do we know about a and b? O a. they are in different planes O b. they are perpendicular they are in different directions d. They are parallel
Hi, please use the numbers that are provided in the problem to solve this for me please. Make sure you use 6.0 x 10^12 as written.
Q1/ Choose the correct answer (MCQ)? 1. Vector product of two vectors quantities is also known as . . a. scalar product point product 2. The fundamental quantities is called of the- b. dot product d. cross product с. a. Kelvin b. area c. density d. speed 3. A scalar quantity is completely specified by a - a. single direction b. single value c. both