Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)
11th Edition
ISBN: 9780134765785
Author: Hal Saunders
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 9.1, Problem 6BE
Find the lateral surface area and the volume of each of the following right prisms. (Round to the nearest tenth.)
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Refer to page 12 for a problem on solving a homogeneous differential equation.
Instructions:
• Simplify the equation into a homogeneous form.
Use appropriate substitutions to reduce complexity.
Solve systematically and verify the final result with clear back-substitutions.
Link:
[https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]
Refer to page 36 for solving a bang-bang control problem.
Instructions:
•
Formulate the problem, identifying the control constraints.
•
•
Apply Pontryagin's Maximum Principle to derive the switching conditions.
Clearly illustrate the switching points in the control trajectory. Verify the solution satisfies the
optimality criteria.
Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]
Total marks 16
5.
Let (N,F,P) be a probability space and let X : N → R be a
random variable such that the probability density function is given by
f(x)=ex for x € R.
(i)
Find the characteristic function of the random variable X.
[8 Marks]
(ii) Using the result of (i), calculate the first two moments of
the random variable X, i.e., E(X") for n = 1,2.
(iii)
What is the variance of X.
[6 Marks]
[2 Marks]
Chapter 9 Solutions
Mathematics for the Trades: A Guided Approach, Books a la Carte edition (11th Edition)
Ch. 9.1 - What is the perimeter of a regular hexagon with...Ch. 9.1 - Find the area:Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Prob. 5AECh. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...
Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - C. Find the total outside surface area and the...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.1 - Practical Applications. Round to the nearest tenth...Ch. 9.2 - What type of triangle has two equal sides?Ch. 9.2 - What is the formula for the area of an equilateral...Ch. 9.2 - Prob. 1AECh. 9.2 - Prob. 2AECh. 9.2 - Prob. 3AECh. 9.2 - Prob. 4AECh. 9.2 - Prob. 5AECh. 9.2 - Prob. 6AECh. 9.2 - Prob. 7AECh. 9.2 - Prob. 8AECh. 9.2 - Find the total outside surface area and volume of...Ch. 9.2 - Find the total outside surface area and volume of...Ch. 9.2 - Find the total outside surface area and volume of...Ch. 9.2 - Find the total outside surface area and volume of...Ch. 9.2 - Find the total outside surface area and volume of...Ch. 9.2 - Find the total outside surface area and volume of...Ch. 9.2 - Find the total outside surface area and volume of...Ch. 9.2 - B. Find the total outside surface area and volume...Ch. 9.2 - Prob. 1CECh. 9.2 - C. Practical Applications Metalworking A...Ch. 9.2 - Prob. 3CECh. 9.2 - C. Practical Applications Agriculture How many...Ch. 9.2 - C. Practical Applications Sheet Metal Trades How...Ch. 9.2 - C. Practical Applications Construction How many...Ch. 9.3 - What is the formula for the circumference of a...Ch. 9.3 - Find the area of a circle with diameter 10 cm....Ch. 9.3 - Find the lateral surface area and volume of each...Ch. 9.3 - Find the lateral surface area and volume of each...Ch. 9.3 - Find the lateral surface area and volume of each...Ch. 9.3 - Find the lateral surface area and volume of each...Ch. 9.3 - Find the lateral surface area and volume of each...Ch. 9.3 - Find the lateral surface area and volume of each...Ch. 9.3 - Find the total surface area and volume of each of...Ch. 9.3 - Find the total surface area and volume of each of...Ch. 9.3 - Find the total surface area and volume of each of...Ch. 9.3 - Find the total surface area and volume of each of...Ch. 9.3 - Find the total surface area and volume of each of...Ch. 9.3 - Find the total surface area and volume of each of...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Practical Applications. (Round to the nearest...Ch. 9.3 - Industrial Technology How high should a 50-gal...Ch. 9.3 - Plumbing A marble-top bathroom sink has the shape...Ch. 9.3 - Sheet Metal Trades How many square inches of sheet...Ch. 9.3 - Machine Trades What is the weight of the bushing...Ch. 9.3 - Manufacturing Find the capacity in gallons of the...Ch. 9.3 - Plumbing A septic tank has the shape shown in the...Ch. 9.3 - Construction How many cubic yards of concrete are...Ch. 9.3 - Machine Trades At a density of 0.0925 lb/in.3,...Ch. 9.3 - Painting A spherical tank has a diameter of 16.5...Ch. 9.3 - Industrial Technology A cylindrical tank 72 cm in...Ch. 9.3 - Agriculture The water tower shown in the figure...Ch. 9.3 - Automotive Trades In an automobile engine, the...Ch. 9.3 - Automotive Trades A cylindrical hose 24 in. long...Ch. 9.3 - Agriculture The water trough shown in the figure...Ch. 9.3 - Painting The metal silo shown in the figure has a...Ch. 9.3 - Construction An outdoor cylindrical fire pit has...Ch. 9.3 - Water/Wastewater Treatment Due to a rupture in a...Ch. 9.3 - Manufacturing If a particular extrusion process is...Ch. 9.4 - Find c:Ch. 9.4 - Prob. 2LCCh. 9.4 - Find the lateral surface area and volume of each...Ch. 9.4 - Find the lateral surface area and volume of each...Ch. 9.4 - Find the lateral surface area and volume of each...Ch. 9.4 - Find the lateral surface area and volume of each...Ch. 9.4 - Prob. 1BECh. 9.4 - Prob. 2BECh. 9.4 - Find the lateral surface area and volume of each...Ch. 9.4 - Find the lateral surface area and volume of each...Ch. 9.4 - Prob. 1CECh. 9.4 - Find the volume of each figure. (Use 3.14 and...Ch. 9.4 - Find the volume of each figure. (Use 3.14 and...Ch. 9.4 - Find the volume of each figure. (Use 3.14 and...Ch. 9.4 - Prob. 1DECh. 9.4 - Prob. 2DECh. 9.4 - Prob. 3DECh. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Prob. 5DECh. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Prob. 9DECh. 9.4 - Welding A cone-shaped hopper is constructed by...Ch. 9.4 - Prob. 11DECh. 9.4 - Practical Applications. (Round to the nearest...Ch. 9.4 - Practical Applications. (Round to the nearest...Ch. 9 - Identify solid figures, including prisms, cubes,...Ch. 9 - Find the surface area and volume of solid objects....Ch. 9 - Solve practical problems involving solid figures....Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Prob. 12APSCh. 9 - Prob. 13APSCh. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Prob. 17APSCh. 9 - Solve the following problems involving solid...Ch. 9 - Solve the following problems involving solid...Ch. 9 - Prob. 20APSCh. 9 - Prob. 21APSCh. 9 - Practical Applications Manufacturing How many...Ch. 9 - Practical Applications Construction How many cubic...Ch. 9 - Practical Applications Metalworking What is the...Ch. 9 - Practical Applications Plumbing What is the...Ch. 9 - Practical Applications Painting How many quarts of...Ch. 9 - Practical Applications Construction A hole must be...Ch. 9 - Practical Applications Manufacturing How many...Ch. 9 - Practical Applications Industrial Technology What...Ch. 9 - Practical Applications Automotive Trades At a...Ch. 9 - Practical Applications Masonry A slim jumbo...Ch. 9 - Practical Applications Construction A foundation...Ch. 9 - Practical Applications Manufacturing How many...Ch. 9 - Practical Applications Construction How many cubic...Ch. 9 - Practical Applications Sheet Metal Trades How many...Ch. 9 - Practical Applications Industrial Technology Find...Ch. 9 - Prob. 16BPSCh. 9 - Prob. 17BPSCh. 9 - Practical Applications Welding A rectangular tank...Ch. 9 - Practical Applications Automotive Trades An oil...Ch. 9 - Practical Applications Welding Calculate the...Ch. 9 - Prob. 21BPSCh. 9 - Practical Applications Welding Calculate the...Ch. 9 - Masonry A square pillar is built using 1558...Ch. 9 - Landscaping In the figure shown below, the solid...Ch. 9 - Carpentry A granite kitchen countertop is 1516 in....Ch. 9 - Prob. 26BPSCh. 9 - Prob. 27BPSCh. 9 - Prob. 28BPSCh. 9 - Prob. 29BPSCh. 9 - Prob. 30BPSCh. 9 - Landscaping A landscape contractor needs to fill...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, subject and related others by exploring similar questions and additional content below.Similar questions
- 6. Let P be the standard normal distribution, i.e., P is the proba- bility measure on (R, B(R)) given by 1 dP(x) = 를 = e dx. √2πT Consider the random variables 21 fn(x) = (1 + x²) en+2, x Є R, n Є N. Using the dominated convergence theorem, prove that the limit Total marks 9 exists and find it. lim E(fn) n∞ [9 Marks]arrow_forwardRefer to page 38 for solving an optimal control problem using dynamic programming. Instructions: • Define the value function and derive the Hamilton-Jacobi-Bellman (HJB) equation. • Solve the HJB equation explicitly, showing all intermediate steps and justifications. Verify the solution satisfies the boundary conditions and optimality. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 18 for solving a second-order linear non-homogeneous differential equation. Instructions: Solve the associated homogeneous equation first. Use either the method of undetermined coefficients or variation of parameters for the particular solution. • Provide detailed steps for combining solutions into the general solution. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]arrow_forward
- 6. Let X be a random variable taking values in (0,∞) with proba- bility density function fx(u) = 5e5u u > 0. Total marks 8 Let Y = X2. Find the probability density function of Y. [8 Marks]arrow_forward5. Let a probability measure P on ([0,3], B([0,3])) be given by 1 dP(s): = ½ s² ds. 9 Consider a random variable X : [0,3] → R given by X(s) = s², sc [0,3]. S Total marks 7 Find the distribution of X. [7 Marks]arrow_forwardRefer to page 24 for solving a differential equation using Laplace transforms. Instructions: Take the Laplace transform of the given equation, applying initial conditions appropriately. ⚫ Solve the resulting algebraic equation and find the inverse transform. Provide step-by-step solutions with intermediate results and final verification. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]arrow_forward
- Refer to page 30 for deriving the Euler-Lagrange equation for an optimal control problem. Instructions: • Use the calculus of variations to derive the Euler-Lagrange equation. Clearly define the functional being minimized or maximized. Provide step-by-step derivations, including all necessary boundary conditions. Avoid skipping critical explanations. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS3IZ9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 32 for solving a linear-quadratic regulator (LQR) problem. Instructions: • Formulate the cost functional and state-space representation. • Derive the Riccati equation and solve it step-by-step. Clearly explain how the optimal control law is obtained. Ensure all matrix algebra is shown in detail. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 14 for solving a linear first-order differential equation. Instructions: • Convert the equation into its standard linear form. • Use integrating factors to find the solution. Show all steps explicitly, from finding the factor to integrating and simplifying the solution. Link [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forward
- Refer to page 10 for a problem involving solving an exact differential equation. Instructions: • Verify if the equation is exact by testing әм მყ - ƏN მე If not exact, determine an integrating factor to make it exact. • Solve step-by-step, showing all derivations. Avoid irrelevant explanations. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qo Haz b9tC440AZF/view?usp=sharing]arrow_forwardRefer to page 10 for a problem involving solving an exact differential equation. Instructions: Verify exactness carefully. ⚫ If the equation is not exact, find an integrating factor to make it exact. Solve step-by-step and ensure no algebraic steps are skipped. Provide detailed explanations for each transformation. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440 AZF/view?usp=sharing]arrow_forwardRefer to page 34 for deriving and applying Pontryagin's Maximum Principle. Instructions: ⚫ Define the Hamiltonian for the given control problem. • • Derive the necessary conditions for optimality step-by-step, including state and co-state equations. Solve the resulting system of equations explicitly, showing all intermediate steps. Link: [https://drive.google.com/file/d/1wKSrun-GlxirS31Z9qoHazb9tC440AZF/view?usp=sharing]arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,
Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Elementary Geometry For College Students, 7e
Geometry
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Cengage,
Elementary Geometry for College Students
Geometry
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Cengage Learning
What is a Prism? | Types of Prism | Don't Memorise; Author: Don't Memorise;https://www.youtube.com/watch?v=wxDTrgnyu28;License: Standard YouTube License, CC-BY