MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
11th Edition
ISBN: 9781323751671
Author: Lial
Publisher: PEARSON C
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Chapter 3.2, Problem 17E
To determine
To graph: The provided function
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When ever one Point sets in X are
closed a collection of functions which
separates Points from closed set
will separates Point.
18 (prod) is product topological
space then xe A (xx, Tx) is homeomorphic
to sub space of the Product space
(TXA, prod).
KeA
The Bin Projection map
18: Tx XP is continuous and open
but heed hot to be closed.
Acale ctioneA} of continuos function
ona topogical Space X se partes Points
from closed sets inx iff the set (v)
for KEA and Vopen set
inx
from a base for top on X-
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9. (a) Use pseudocode to describe an algo-
rithm for determining the value of a
game tree when both players follow a
minmax strategy.
(b) Suppose that T₁ and T2 are spanning
trees of a simple graph G. Moreover,
suppose that ₁ is an edge in T₁ that is
not in T2. Show that there is an edge
2 in T2 that is not in T₁ such that
T₁ remains a spanning tree if ₁ is
removed from it and 2 is added to it,
and T2 remains a spanning tree if 2 is
removed from it and e₁ is added to it.
(c) Show that a
degree-constrained
spanning tree of a simple graph in
which each vertex has degree not
exceeding 2 2 consists of a single
Hamiltonian path in the graph.
Chapter 3 Solutions
MATH W/APPLICAT.W/NOTES GDE +ACCESS CODE
Ch. 3.1 - Checkpoint 1
Find the domain and range of the...Ch. 3.1 - Checkpoint 2
Do the following define...Ch. 3.1 - Checkpoint 3
Do the following define y as a...Ch. 3.1 - Checkpoint 4
Give the domain of each...Ch. 3.1 - Checkpoint 5
Let Find the...Ch. 3.1 - Prob. 6CPCh. 3.1 - Prob. 7CPCh. 3.1 - For each of the following rules, state whether it...Ch. 3.1 -
For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...
Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - For each of the following rules, state whether it...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - Prob. 13ECh. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 - State the domain of each function. (See Example...Ch. 3.1 -
State the domain of each function. (See Example...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - For each of the following functions,...Ch. 3.1 - Prob. 28ECh. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a)...Ch. 3.1 - For each of the following functions, find
(a)....Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(See...Ch. 3.1 - For each of the following functions, find f(p);...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find
(a) (b)...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - For each of the following functions, find the...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 -
Use a calculator to work these exercises. (See...Ch. 3.1 - Prob. 55ECh. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 - Use a calculator to work these exercises. (See...Ch. 3.1 - Prob. 58ECh. 3.1 - Use the table feature of a graphing calculator to...Ch. 3.1 - Use the table feature of a graphing calculator to...Ch. 3.2 - Checkpoint 1 Graph g(x)=35x.Ch. 3.2 -
Checkpoint 2
Graph
Ch. 3.2 - Checkpoint 3 Graph f(x)={2x3ifx1x2ifx1.Ch. 3.2 - Checkpoint 4 Graph each function. f(x)=|x4|...Ch. 3.2 - Prob. 5CPCh. 3.2 - Checkpoint 6 Graph y=[12x+1].Ch. 3.2 - Prob. 7CPCh. 3.2 - Prob. 8CPCh. 3.2 - Prob. 9CPCh. 3.2 - Graph each function. (See Examples 1–4.)
1.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
2.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
3.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
4.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
5.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
6.
Ch. 3.2 - Prob. 7ECh. 3.2 - Prob. 8ECh. 3.2 - Prob. 9ECh. 3.2 - Graph each function. (See Examples 1–4.)
10.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
11.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
12.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
13.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
14.
Ch. 3.2 - Graph each function. (See Examples 1–4.)
15.
Ch. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Postal Rates Theaccompanying table gives rates...Ch. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Graph each function. (See Examples 7–9.)
31.
Ch. 3.2 - Graph each function. (See Examples 7–9.)
32.
Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Determine whether each graph is a graph of a...Ch. 3.2 - Use a graphing calculator or other technology to...Ch. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Work these exercise. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercise. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - See Examples 2, 3, 10 and 11 as you do Exercises...Ch. 3.2 - Prob. 41ECh. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Work these exercises. (See Examples 2, 3, 10, and...Ch. 3.2 - Prob. 48ECh. 3.2 - 59. Business Sarah Hendrickson needs to rent a van...Ch. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.3 - Checkpoint 1
The total cost of producing 10...Ch. 3.3 - Prob. 2CPCh. 3.3 - Prob. 3CPCh. 3.3 - Prob. 4CPCh. 3.3 - Prob. 5CPCh. 3.3 - Prob. 6CPCh. 3.3 - Checkpoint 7
Suppose price and quantity demanded...Ch. 3.3 - Prob. 8CPCh. 3.3 - Business Write a cost function for each of the...Ch. 3.3 - Prob. 2ECh. 3.3 - Prob. 3ECh. 3.3 - Prob. 4ECh. 3.3 - Business Assume that each of the given situations...Ch. 3.3 - Prob. 6ECh. 3.3 - Business Assume that each of the given situations...Ch. 3.3 - Prob. 8ECh. 3.3 - Prob. 9ECh. 3.3 - Prob. 10ECh. 3.3 - Prob. 11ECh. 3.3 - Business In Exercises 9–12, a cost function is...Ch. 3.3 - Business Work these exercises. (See Example...Ch. 3.3 - Prob. 14ECh. 3.3 - Business Work these exercises. (See Example...Ch. 3.3 - Business Work these exercises. (See Example...Ch. 3.3 - Prob. 17ECh. 3.3 - Business Work these problems. (See Example...Ch. 3.3 - Business Work these problems. (See Examples 2 and...Ch. 3.3 - 20. In deciding whether to set up a new...Ch. 3.3 - Business Work these problems. (See Example 5.)...Ch. 3.3 - Business Work these problems. (See Example 5.) Gas...Ch. 3.3 - Business Work these problems. (See Example...Ch. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - 35. The revenue (in millions of dollars) from the...Ch. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Business Suppose you are the manager of a firm....Ch. 3.3 - Business Suppose you are the manager of a firm....Ch. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Business Suppose you are the manager of a firm....Ch. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Economics Work the following exercises. (See...Ch. 3.3 - Economics Work the following exercises. (See...Ch. 3.3 - 51. Let the supply and demand for bananas in cents...Ch. 3.3 - Economics Work the following exercises. (See...Ch. 3.3 - Prob. 53ECh. 3.3 - Prob. 54ECh. 3.4 - Checkpoint 1
Graph each quadratic...Ch. 3.4 - Prob. 2CPCh. 3.4 - Prob. 3CPCh. 3.4 - Prob. 4CPCh. 3.4 - Prob. 5CPCh. 3.4 - Prob. 6CPCh. 3.4 - Prob. 1ECh. 3.4 - Prob. 2ECh. 3.4 - The graph of each of the functions in Exercises...Ch. 3.4 - The graph of each of the functions in Exercises...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Without graphing, determine the vertex of the...Ch. 3.4 - Prob. 9ECh. 3.4 - Match each function with its graph, which is one...Ch. 3.4 - Prob. 11ECh. 3.4 - Prob. 12ECh. 3.4 - Prob. 13ECh. 3.4 - Prob. 14ECh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Find the rule of a quadratic function whose graph...Ch. 3.4 - Find the rule of a quadratic function whose graph...Ch. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Without graphing, find the vertex of the parabola...Ch. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Without graphing, find the vertex of the parabola...Ch. 3.4 - Without graphing, determine the x- and...Ch. 3.4 - Prob. 26ECh. 3.4 - Without graphing, determine the x- and...Ch. 3.4 - Without graphing, determine the x- and...Ch. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Graph each parabola and find its vertex and axis...Ch. 3.4 - Work these problems. (See Example...Ch. 3.4 - Work these problems. (See Example 6.)
34. Souvenir...Ch. 3.4 - Work these problems. (See Example 6.) Nerve...Ch. 3.4 - Work these problems. (See Example 6.) Bullet...Ch. 3.4 - Work these problems. (See Example 6.) Automobile...Ch. 3.4 - Work these problems. (See Example...Ch. 3.4 - Use a calculator to work these...Ch. 3.4 - Use a calculator to work these...Ch. 3.4 - 41. Business Suppose the price p of widgets is...Ch. 3.4 - 42. Business The supply function for a commodity...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business Find the equilibrium quantity and...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business The revenue function R(x) and the cost...Ch. 3.4 - Business A store owner finds that at a price of...Ch. 3.4 - Business A store owner finds that at a price of ...Ch. 3.4 - Business Work each problem. (See Example 8.)
53. A...Ch. 3.4 - Business Work each problem. (See Example 8.) The...Ch. 3.4 - Business Work each problem. (See Example 8.)
51. A...Ch. 3.4 - Business Work each problem. (See Example...Ch. 3.4 - Business Work each problem. (See Example 8.)
53. A...Ch. 3.4 - Business Work each problem. (See Example...Ch. 3.4 - Prob. 59ECh. 3.4 - Prob. 60ECh. 3.4 - Prob. 61ECh. 3.4 - Prob. 62ECh. 3.4 - Prob. 63ECh. 3.4 - Prob. 64ECh. 3.4 - Prob. 65ECh. 3.4 - Prob. 66ECh. 3.4 - Prob. 67ECh. 3.4 - Prob. 68ECh. 3.5 - Checkpoint 1
Graph
Ch. 3.5 - Checkpoint 2
Graph
Ch. 3.5 - Checkpoint 3
Find a viewing window on a graphing...Ch. 3.5 - Checkpoint 4
Multiply out the expression for in...Ch. 3.5 - Checkpoint 5
Graph
Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Prob. 2ECh. 3.5 - Prob. 3ECh. 3.5 - Prob. 4ECh. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 5-8, state whether the graph could...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - In Exercises 9–14, match the given polynomial...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - 18.
Graph each of the given polynomial functions....Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Graph each of the given polynomial functions. (See...Ch. 3.5 - Work these exercises. Home Depot Revenue The...Ch. 3.5 - Work these exercises. Caterpillar Revenue The...Ch. 3.5 - Work these exercises. Home Depot Costs The cost...Ch. 3.5 - Work these exercises. Caterpillar Costs The cost...Ch. 3.5 - Work these exercises.
25. Home Depot Profit Find...Ch. 3.5 - Work these exercises. Caterpillar Profit Find the...Ch. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 27ECh. 3.5 - In Exercises 27−31, use a calculator to evaluate...Ch. 3.5 - Prob. 29ECh. 3.5 - Polynomial Models Use a graphing calculator to do...Ch. 3.5 - Polynomial Models Use a graphing calculator to do...Ch. 3.5 - Prob. 32ECh. 3.6 - Checkpoint 1
Graph the following.
(a)
(b)
Ch. 3.6 - Prob. 2CPCh. 3.6 - Prob. 3CPCh. 3.6 - Prob. 4CPCh. 3.6 - Checkpoint 5
Rework Example 5 with the...Ch. 3.6 - Prob. 1ECh. 3.6 - Prob. 2ECh. 3.6 - Prob. 3ECh. 3.6 - Prob. 4ECh. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Prob. 6ECh. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Prob. 10ECh. 3.6 - Prob. 12ECh. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Graph each function. Give the equations of the...Ch. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Average Cost For Exercises 21 and 22, recall that...Ch. 3.6 - Prob. 23ECh. 3.6 - Work these problems. (See Example 2.) NASA The...Ch. 3.6 - Work these problems. (See Example 2.) Pollution...Ch. 3.6 - Prob. 26ECh. 3.6 - Business Sketch the portion of the graph in...Ch. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3 - In Exercises 1–6, state whether the given rule...Ch. 3 - Prob. 2RECh. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - Prob. 9RECh. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Graph the functions in Exercises 13–24.
13.
Ch. 3 - Prob. 14RECh. 3 - Graph the functions in Exercises 13–24.
15.
Ch. 3 - Graph the functions in Exercises 13–24.
16.
Ch. 3 - Graph the functions in Exercises 13–24.
17.
Ch. 3 - Prob. 18RECh. 3 - Graph the functions in Exercises 13–24.
19.
Ch. 3 - Graph the functions in Exercises 13–24.
20.
Ch. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 24RECh. 3 - Prob. 23RECh. 3 - 25. Business Let be a function that gives the...Ch. 3 - Prob. 26RECh. 3 - Prob. 27RECh. 3 - Prob. 28RECh. 3 - Business In Exercises 29-32, find the following:...Ch. 3 - Business In Exercises 29–32, find...Ch. 3 - Business In Exercises 29–32, find the...Ch. 3 - Business In Exercises 29-32, find the...Ch. 3 - 33. Business The cost of producing x ink...Ch. 3 - 34. Business The cost of producing x laser...Ch. 3 - 35. Business Suppose the demand and price for the...Ch. 3 - Prob. 36RECh. 3 - Without graphing, determine whether each of the...Ch. 3 - Without graphing, determine whether each of the...Ch. 3 - Without graphing, determine whether each of the...Ch. 3 - Without graphing, determine whether each of the...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Graph each of the following quadratic functions,...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Determine whether the functions in Exercises 49–52...Ch. 3 - Prob. 53RECh. 3 - Prob. 54RECh. 3 - 55. Student Loans Interest rates for subsidized...Ch. 3 - Natural Gas Pricing The price of European natural...Ch. 3 - Netflix Revenue Netflix Inc. reported revenue (in...Ch. 3 - Netflix Revenue Netflix Inc. reported revenue (in...Ch. 3 - Use quadratic regression and the data from...Ch. 3 - 60. Use quadratic regression and the data from...Ch. 3 - Prob. 62RECh. 3 - Prob. 61RECh. 3 - Prob. 63RECh. 3 - Prob. 64RECh. 3 - Prob. 65RECh. 3 - Prob. 66RECh. 3 - Use a graphing calculator to do Exercises 67...Ch. 3 - Use a graphing calculator to do Exercises 67 -70....Ch. 3 - Use a graphing calculator to do Exercises 67...Ch. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - Prob. 75RECh. 3 - Prob. 76RECh. 3 - Prob. 77RECh. 3 - Prob. 78RECh. 3 - Prob. 79RECh. 3 - Prob. 80RECh. 3 - Find the maximum profit and the number of washing...Ch. 3 - 2. Is the quantity of washing machine loads the...Ch. 3 - Based on this information, what price should the...Ch. 3 - Suppose the owner of the laundry has hired your...
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- Chatgpt give wrong answer No chatgpt pls will upvotearrow_forward@when ever one Point sets in x are closed a collection of functions which separates Points from closed set will separates Point. 18 (prod) is product topological space then VaeA (xx, Tx) is homeomorphic to sul space of the Product space (Txa, prod). KeA © The Bin Projection map B: Tx XP is continuous and open but heed hot to be closed. A collection (SEA) of continuos function oha topolgical Space X se partes Points from closed sets inx iff the set (v) for KEA and Vopen set in Xx from a base for top on x.arrow_forwardNo chatgpt pls will upvotearrow_forward
- Make M the subject: P=2R(M/√M-R)arrow_forwardExercice 2: Soit & l'ensemble des nombres réels. Partie A Soit g la fonction définie et dérivable sur R telle que, pour tout réel x. g(x) = - 2x ^ 3 + x ^ 2 - 1 1. a) Étudier les variations de la fonction g b) Déterminer les limites de la fonction gen -oo et en +00. 2. Démontrer que l'équation g(x) = 0 admet une unique solution dans R, notée a, et que a appartient à | - 1 ;0|. 3. En déduire le signe de g sur R. Partie B Soit ƒ la fonction définie et dérivable sur R telle que, pour tout réel s. f(x) = (1 + x + x ^ 2 + x ^ 3) * e ^ (- 2x + 1) On note f la fonction dérivée de la fonction ƒ sur R. 1. Démontrer que lim x -> ∞ f(x) = - ∞ 2. a) Démontrer que, pour tout x > 1 1 < x < x ^ 2 < x ^ 3 b) En déduire que, pour x > 1 0 < f(x) < 4x ^ 3 * e ^ (- 2x + 1) c) On admet que, pour tout entier naturel n. lim x -> ∞ x ^ n * e ^ (- x) = 0 Vérifier que, pour tout réel x, 4x ^ 3 * e ^ (- 2x + 1) = e/2 * (2x) ^ 3 * e ^ (-2x) puis montrer que: lim x -> ∞ 4x ^ 3 * e…arrow_forwardshow me pass-to-passarrow_forward
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