Question

How can I get the result?

Which is the result 

150
50
50
50
50
50
50
Find two positive numbers whose sum is 210 and whose product is a maximum.
(a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.)
First
Number, x
Second
Number
Product, P
210
60(210 60)
00
0006
09
210
70(210 70) = 9800
04
00
210
0
80(210 80)
210 90
06
(06 OI)06
100
210
100 100(210 100)
110
210 110 110(210 110) =
(b) Use a graphing utility to generate additional rows of the table.
Second
Number
First
Number, x
Product, P
120
130
140
150
Use the table to estimate the solution. (Hint: Use the table feature of the graphing utility.)
(c) Write the product P as a function of x
(x)d
(d) Use a graphing utility to graph the function in part (c).
200
0000L
000
150
0009
00L
000
2000
0
000
00
-2000
00
020
12000
11000
0000
10950
000
10900
0009
0000
10850
000
100
150
200
150
000
00
0
Estimate the solution from the graph.
NX
(e) Use calculus to find the critical number of the function in part (c). Then find the two numbers.
(smaller value)
(larger value)
expand button
Transcribed Image Text:150 50 50 50 50 50 50 Find two positive numbers whose sum is 210 and whose product is a maximum. (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) First Number, x Second Number Product, P 210 60(210 60) 00 0006 09 210 70(210 70) = 9800 04 00 210 0 80(210 80) 210 90 06 (06 OI)06 100 210 100 100(210 100) 110 210 110 110(210 110) = (b) Use a graphing utility to generate additional rows of the table. Second Number First Number, x Product, P 120 130 140 150 Use the table to estimate the solution. (Hint: Use the table feature of the graphing utility.) (c) Write the product P as a function of x (x)d (d) Use a graphing utility to graph the function in part (c). 200 0000L 000 150 0009 00L 000 2000 0 000 00 -2000 00 020 12000 11000 0000 10950 000 10900 0009 0000 10850 000 100 150 200 150 000 00 0 Estimate the solution from the graph. NX (e) Use calculus to find the critical number of the function in part (c). Then find the two numbers. (smaller value) (larger value)
Expert Solution
Check Mark
Blurred answer
Students who’ve seen this question also like:
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
Not helpful? See similar books
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Polynomial And Rational Functions. 9E
marketing sidebar icon
Your question is solved by a Subject Matter Expert
marketing sidebar icon
Want to see this answer and more?
Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*
*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Get 24/7 homework help!
8+ million solutions
Get access to millions of step-by-step textbook and homework solutions
Support from experts
Send experts your homework questions or start a chat with a tutor
Essay support
Check for plagiarism and create citations in seconds
Solve math equations
Get instant explanations to difficult math equations
Students love us.
Students love us.

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: An aluminum cup of 77 cm capacity is completely filled with glycerin at 21°C. How much glycerin will…

A: Solution

Q: An open box of maximum volume is to be made from a square piece of material, s = 24 centimeters on a…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: A gardener will use up to 230 square feet for planting flowers and vegetables. She wants the area…

A: Click to see the answer

Q: I'm having trouble factoring number 57 if that's even what I'm supposed to do

A: Given:

Q: 1.44 -0.36 5.52 0.00 0.04 -0.36 10.33 -7.78 0.00 -2.15 A = b = 5.52 -7.78 28.40 9.00 0.00 0.00 9.00…

A: The given problem is to solve the system of linear equations using cholesky's decomposition method.

Q: 1. ** (Definition 3.1.17) The floor function, denoted [x] is defined [x]: R Z by returning the…

A: Given- The floor function, denoted x is defined x : ℝ → ℤ by returning the greatest integer less…

Q: How can I get the result? Which is the result?

A: a)Analytically complete six rows of a table as below.

Q: Home exercise: The function f(x) = 5x¹ + 20x³ 5x4 + 20x³33x² + 2000x + 6 is unimodal on the interval…

A: Given : fx=5x4+20x3-33x2+2000x +6                     -20 ; 10 To find : Roots of the given function…

Q: An open box of maximum volume is to be made from a square piece of material, s = 30 inches on a…

A: a) The required values are: 3) 17284) 19365) 20006) 1944 Using the table, the maximum volume is:…

Q: Acilvity 4: Use the Five-Step method to determine each of the following areas. 1. Above z =-0.58 2.…

A: Disclaimer: Since you have posted a question with multiple subparts, we will solve first 3 subparts…

Q: An exponential model has the form y = ae² + be2- and it goes through the points (In 2, 4360), (In 3,…

A: Click to see the answer

Q: 5. The cubic function f(x) = ax^3 - x^2 + bx - 24, where a and b are real numbers, has three…

A: Click to see the answer

Q: Compute the least-squares error associated with the least-squares solution x of Ax = b. -3 2 767 - 1…

A: Solution

Q: 2. A heavy vehicle has five identical axles each of which has 8 identical wheels, four on each side.…

A: Each tire has a reliability of 0.9 but for an axle to be fully functional it is required to have at…

Q: An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a…

A: To compute the volume of a box, multiply the length of three sides of the box. The formula for the…

Q: la). Show that f(x)=(x-2)² – Inx =0 has at least one root between 1 and 2. b). Use bisection method…

A: Since you haven't specified the part of question you'd like to be answered, so we have solved (a),…

Q: a.) Berechnen Sie die folgenden Summen und Produkte: (2n)! ii.) E(-1)*k - 3 m+1 iii.) II n! k +7'…

A: According to guidelines we solve only first three parts.

Q: hello! can you help me with my calculus problem?

A: Click to see the answer

Q: (-0.1 , 1.45), (0.2 , 2.20), (0.4 , 3.76) and (0.5 , 4.32) datas are given. P(0) is approximated…

A: A/c to the question,     x    y  -0.1  1.45    0.2  2.20    0.4  3.76    0.5  4.32 For…

Q: (a) Find Critical point of u*(e^u^n) + ln( √(u^n + n ) ) , Where n=744 (b) Find the increasing and…

A: Given: f(u)=ueun+lnun+n

Q: birth current Height 20 inch 69inch weight below 9lb above 180lb Using facts and theorems a. show…

A: 20>=Height>=69 9<=weight and <=180lb

Q: The population P (t) of a culture of the bacterium Pseudomonas aeruginosa is given by P (t) =…

A: The Function of population is given by, P(t) = - 1687t2 + 85000t + 10000 Where t is time in hours.…

Q: Black chips (B) = positive numbers and Red chips (R) = negative numbers. %3D • Use B and R as a…

A: Click to see the answer

Q: EXERCISE 1.3 A ranch has two fenced rectangular areas. Area A has a length of 750 m and width 125 m,…

A: Given data: The Area A has a length of 750 m and width 125 m. Consider the length l1=750 m and…

Q: The ordering and transportation cost C for componets used in a manufacturing process is approximated…

A: Click to see the answer

Q: Find two positive numbers whose sum is 170 and whose product is a maximum. (a) Analytically complete…

A: NOTE: Refresh your page if you can't see any equations. . let the first number be x and the second…

Q: How can I get the result? Which is the result?

A: (a)Complete the table below analytically:

Q: Compute the least-squares error associated with the least-squares solution x of Ax = b. 1 - 4 2 97 -…

A: Given matrices  To Determine the least-squares error associated with the least-squares solution of…

Q: An open box of max material, s = 24 inches on a side, by cutting equal squares from the corners and…

A: Click to see the answer

Q: An open box of maximum volume is to be made from a square piece of material, s = 12 centimeters on a…

A: Click to see the answer

Q: Sus Econ 7.1.31 Skill Builder Question Help ▼ A man has $420,000 invested in three rental…

A: Click to see the answer

Q: An open box of maximum volume is to be made from a square piece of material, s = 12 centimeters on a…

A: We know that volume of a cuboid is  Volume (v)= length × width × height.     Here i attached the…

Q: 16.) P Cn, f); For exomple, how do you compute PCG, 3) example, compute C CG, 3) or C§)

A: Permutation is number of ways of selecting and arrangement of r items out of n items. Combination is…

Q: Riemann sum Table x = a + hk 4V1 - x* R 4. 4. 3V7 3V7 3V7 8. 1. 4 V15 V15 V15 V55 V55 V55 8. 2.

A: Given : Riemann Sum Table x=a+hk 41-x2 L R 0 4 4 X 18 372 372 372 14 15 15 15 38 552 552…

Q: An open box of maximum volume is to be made from a square piece of material, s = 36 inches on a…

A: Here we find the dimensions for box when its volume is maximum.

Q: An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a…

A: Let's find.

Q: Compute the least-squares error associated with the least-squares solution x of Ax = b. 1 -2 357 - 1…

A: Click to see the answer

Q: An open box of maximum volume is to be made from a square piece of material, s 12 centimeters on a…

A: Click to see the answer

Q: II 2/1 4N 25 II 20 A population of middle school students consists of 100 boys and representative…

A: The detailed solution is as follows below:

Q: (e) Where does H achieve its maximum value? Explain. since H'(8)(7) -0 and Η ' (8) (8) Hachieves its…

A: f(x) is the derivative graph  When derivative f(x) is positive then H(x) is increasing The graph of…

Q: MY NOTE An open box of maximum volume is to be made from a square piece of material, s = 30 inches…

A: Given: S= 30 inches

Q: A gardener will use up to  250  square feet for planting flowers and vegetables. She wants the…

A: A gardener will use up to 250 square feet for planting flowers and vegetables. She wants the area…

Q: An open box of maximum volume is to be made from a square piece of material, s = 18 centimeters on a…

A: (a) Height (x) Length and width Volume, V 1 18-2(1) 1(18-2(1))2=256 2 18-2(2) 2(18-2(2))2=392…

Q: For f(x)= (n+gvx)*m * , find f'(0.1) and f"(0) correct to three decimal places.

A: Given function is f(x)=n+gxsin(x) Here n=16 and g=5 Then function will be f(x)=16+5xsin(x) with step…

Q: Зx-1 (as a partial sum) (x2 – 1) Select one: a. B + х — 1 A D + (x – 1)? x +1 (x + 1)2 - - b. A D (x…

A: Click to see the answer

Q: 7) An open-top box is constructed from a piece of cardboard 50 cm × 40 cm by cutting congruent…

A: Click to see the answer

Q: (b) Write the volume V as a function of x. V = 0 < x < 15 (c) Use calculus to find the critical…

A: In the given question we need to express the volume as a function of x, the critical points of V and…

Q: ERROR ANALYSIS c2 = a2 + b2 26 10 x2 = 102 + 262 %3D x2 = 100 + 676 %3D x2 = 776 x = V776 x= 27.9 1)…

A: Click to see the answer

Knowledge Booster
Calculus
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
  • Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage
  • Algebra & Trigonometry with Analytic Geometry
    Algebra
    ISBN:9781133382119
    Author:Swokowski
    Publisher:Cengage