(a)
The possible values of x and y for a healthy person.
(a)
Answer to Problem 16PS
The possible values of x and y for a healthy person is
Explanation of Solution
Given:
Given that for a healthy person who is 4 feet and 10 inches tall, the minimum weight is 91 pounds and increases by 3.65 pounds for every additional inch of height. The maximum weight is about 119 pounds and increases by 4.85 pounds for every additional inch of height.
Formula used:
Comparing and forming the equation
Calculation:
To calculate the range of permitted weight range for the given height range. The minimum and maximum permitted for a person having 4feet and 10 inches and permitted increase of weight for every increased height in inches.
Given that for a healthy person who is 4 feet and 10 inches tall, the minimum weight is 91 pounds and increases by 3.65 pounds for every additional inch of height. The maximum weight is about 119 pounds and increases by 4.85 pounds for every additional inch of height.
(a)
The system of inequalities describing the relation if x denotes every additional increase of height and y is the weight. Also weight and increase it height cannot be negative.
The system of inequalities can be given as:
Conclusion:
The weight and increase in height cannot be negative. The possible values of x and y for a healthy person is
(b)
The graph of the system of inequalities.
(b)
Answer to Problem 16PS
The system of inequalities are
Explanation of Solution
Given:
Given that for a healthy person who is 4 feet and 10 inches tall, the minimum weight is 91 pounds and increases by 3.65 pounds for every additional inch of height. The maximum weight is about 119 pounds and increases by 4.85 pounds for every additional inch of height
Formula used:
The substitution method is used
Calculation:
The system of inequalities can be given as:
The graph can be as shown below:
Conclusion:
The graph is the increasing function and it get increases.
(c)
The recommended weight range for a healthy person with 6 feet tall.
(c)
Answer to Problem 16PS
The Minimum weight is l42.l pounds and maximum weight as l86.9 pounds.
Explanation of Solution
Given:
The recommended weight range for a healthy person with 6 feet tall.
Formula used:
The substitution method is used.
Calculation:
To find the recommended weight range for a person with 6 feet height
From 4 feet 10 inches to 6 feet, the x value should be 14, hence to find the values of minimum and maximum weight at
At
The Minimum weight is l42.l pounds and maximum weight as l86.9 pounds.
Conclusion:
The Minimum weight is l42.l pounds and maximum weight as l86.9 pounds.
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- nd ave a ction and ave an 48. The domain of f y=f'(x) x 1 2 (= x<0 x<0 = f(x) possible. Group Activity In Exercises 49 and 50, do the following. (a) Find the absolute extrema of f and where they occur. (b) Find any points of inflection. (c) Sketch a possible graph of f. 49. f is continuous on [0,3] and satisfies the following. X 0 1 2 3 f 0 2 0 -2 f' 3 0 does not exist -3 f" 0 -1 does not exist 0 ve tes where X 0 < x <1 1< x <2 2arrow_forwardNumerically estimate the value of limx→2+x3−83x−9, rounded correctly to one decimal place. In the provided table below, you must enter your answers rounded exactly to the correct number of decimals, based on the Numerical Conventions for MATH1044 (see lecture notes 1.3 Actions page 3). If there are more rows provided in the table than you need, enter NA for those output values in the table that should not be used. x→2+ x3−83x−9 2.1 2.01 2.001 2.0001 2.00001 2.000001arrow_forwardFind the general solution of the given differential equation. (1+x)dy/dx - xy = x +x2arrow_forwardEstimate the instantaneous rate of change of the function f(x) = 2x² - 3x − 4 at x = -2 using the average rate of change over successively smaller intervals.arrow_forwardGiven the graph of f(x) below. Determine the average rate of change of f(x) from x = 1 to x = 6. Give your answer as a simplified fraction if necessary. For example, if you found that msec = 1, you would enter 1. 3' −2] 3 -5 -6 2 3 4 5 6 7 Ꮖarrow_forwardGiven the graph of f(x) below. Determine the average rate of change of f(x) from x = -2 to x = 2. Give your answer as a simplified fraction if necessary. For example, if you found that msec = , you would enter 3 2 2 3 X 23arrow_forwardA function is defined on the interval (-π/2,π/2) by this multipart rule: if -π/2 < x < 0 f(x) = a if x=0 31-tan x +31-cot x if 0 < x < π/2 Here, a and b are constants. Find a and b so that the function f(x) is continuous at x=0. a= b= 3arrow_forwardUse the definition of continuity and the properties of limits to show that the function is continuous at the given number a. f(x) = (x + 4x4) 5, a = -1 lim f(x) X--1 = lim x+4x X--1 lim X-1 4 x+4x 5 ))" 5 )) by the power law by the sum law lim (x) + lim X--1 4 4x X-1 -(0,00+( Find f(-1). f(-1)=243 lim (x) + -1 +4 35 4 ([ ) lim (x4) 5 x-1 Thus, by the definition of continuity, f is continuous at a = -1. by the multiple constant law by the direct substitution propertyarrow_forward1. Compute Lo F⚫dr, where and C is defined by F(x, y) = (x² + y)i + (y − x)j r(t) = (12t)i + (1 − 4t + 4t²)j from the point (1, 1) to the origin.arrow_forward2. Consider the vector force: F(x, y, z) = 2xye²i + (x²e² + y)j + (x²ye² — z)k. (A) [80%] Show that F satisfies the conditions for a conservative vector field, and find a potential function (x, y, z) for F. Remark: To find o, you must use the method explained in the lecture. (B) [20%] Use the Fundamental Theorem for Line Integrals to compute the work done by F on an object moves along any path from (0,1,2) to (2, 1, -8).arrow_forwardhelp pleasearrow_forwardIn each of Problems 1 through 4, draw a direction field for the given differential equation. Based on the direction field, determine the behavior of y as t → ∞. If this behavior depends on the initial value of y at t = 0, describe the dependency.1. y′ = 3 − 2yarrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning