Precalculus Enhanced with Graphing Utilities (7th Edition)
7th Edition
ISBN: 9780134119281
Author: Michael Sullivan, Michael Sullivan III
Publisher: PEARSON
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Chapter 12.3, Problem 24SB
To determine
To find: To calculate the fifth term and the term of the geometric sequence using the given first term and common ratio.
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Consider the region below f(x) = (11-x), above the x-axis, and between x = 0 and x = 11. Let x; be the midpoint of the ith subinterval. Complete parts a. and b. below.
a. Approximate the area of the region using eleven rectangles. Use the midpoints of each subinterval for the heights of the rectangles.
The area is approximately square units. (Type an integer or decimal.)
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The power station has three different hydroelectric turbines, each with a known (and unique)
power function that gives the amount of electric power generated as a function of the water
flow arriving at the turbine. The incoming water can be apportioned in different volumes to
each turbine, so the goal of this project is to determine how to distribute water among the
turbines to give the maximum total energy production for any rate of flow.
Using experimental evidence and Bernoulli's equation, the following quadratic models were
determined for the power output of each turbine, along with the allowable flows of operation:
6
KW₁ = (-18.89 +0.1277Q1-4.08.10 Q) (170 - 1.6 · 10¯*Q)
KW2 = (-24.51 +0.1358Q2-4.69-10 Q¹²) (170 — 1.6 · 10¯*Q)
KW3 = (-27.02 +0.1380Q3 -3.84-10-5Q) (170 - 1.6-10-ºQ)
where
250 Q1 <1110, 250 Q2 <1110, 250 <3 < 1225
Qi = flow through turbine i in cubic feet per second
KW
=
power generated by turbine i in kilowatts
Hello! Please solve this practice problem step by step thanks!
Chapter 12 Solutions
Precalculus Enhanced with Graphing Utilities (7th Edition)
Ch. 12.1 - For the function f( x )= x1 x , find f( 2 ) and f(...Ch. 12.1 - True or False A function is a relation between two...Ch. 12.1 - If 1000 is invested at 4 per annum compounded...Ch. 12.1 - How much do you need to invest now at 5 per annum...Ch. 12.1 - Prob. 5AYPCh. 12.1 - True or False The notation a 5 represents the...Ch. 12.1 - If n0 is an integer, then n!= ________ When n2 .Ch. 12.1 - The sequence a 1 =5 , a n =3 a n1 is an example of...Ch. 12.1 - The notation a 1 + a 2 + a 3 ++ a n = k=1 n a k...Ch. 12.1 - k=1 n k=1+2+3++n = ______. (a) n! (b) n( n+1 ) 2...
Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 11-16, evaluate each factorial...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 17-28, write down the first five terms...Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 29-36, the given pattern continues....Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 37-50, a sequence is defined...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n (...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n (...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n k 2...Ch. 12.1 - In Problems 51-60, write out each sum. k=1 n (...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n 1 3...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n ( 3...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n1 1 3...Ch. 12.1 - In Problems 51-60, write out each sum. k=0 n1 (...Ch. 12.1 - In Problems 51-60, write out each sum. k=2 n ( 1...Ch. 12.1 - In Problems 51-60, write out each sum. k=3 n ( 1...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 61-70, express each sum using...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - In Problems 71-82, find the sum of each sequence. ...Ch. 12.1 - If 2500 is invested at 3 compounded monthly, find...Ch. 12.1 - Write the complex number 1i in polar form. Express...Ch. 12.1 - For v=2ij and w=i+2j , find the dot product vw .Ch. 12.1 - Find an equation of the parabola with vertex ( 3,4...Ch. 12.2 - In a(n) _________ sequence, the difference between...Ch. 12.2 - True or False For an arithmetic sequence { a n }...Ch. 12.2 - If the 5th term of an arithmetic sequence is 12...Ch. 12.2 - True or False The sum S n of the first n terms of...Ch. 12.2 - An arithmetic sequence can always be expressed as...Ch. 12.2 - If a n =2n+7 is the n th term of an arithmetic...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 7-16, show that each sequence is...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 17-24, find the nth term of the...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 25-30, find the indicated term in each...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 31-38, find the first term and the...Ch. 12.2 - In Problems 39-56, find each sum. 1+3+5++( 2n1 )Ch. 12.2 - In Problems 39-56, find each sum. 2+4+6++2nCh. 12.2 - In Problems 39-56, find each sum. 7+12+17++( 2+5n...Ch. 12.2 - In Problems 39-56, find each sum. 1+3+7++( 4n5 )Ch. 12.2 - In Problems 39-56, find each sum. 2+4+6++70Ch. 12.2 - In Problems 39-56, find each sum. 1+3+5++59Ch. 12.2 - In Problems 39-56, find each sum. 5+9+13++49Ch. 12.2 - In Problems 39-56, find each sum. 2+5+8++41Ch. 12.2 - In Problems 39-56, find each sum. 73+78+83+88++558Ch. 12.2 - In Problems 39-56, find each sum. 7+1511299Ch. 12.2 - In Problems 39-56, find each sum. 4+4.5+5+5.5++100Ch. 12.2 - In Problems 39-56, find each sum. 8+8 1 4 +8 1 2...Ch. 12.2 - In Problems 39-56, find each sum. n=1 80 ( 2n5 )Ch. 12.2 - In Problems 39-56, find each sum. n=1 90 ( 32n )Ch. 12.2 - In Problems 39-56, find each sum. n=1 100 ( 6 1 2...Ch. 12.2 - In Problems 39-56, find each sum. n=1 80 ( 1 3 n+...Ch. 12.2 - In Problems 39-56, find each sum. The sum of the...Ch. 12.2 - In Problems 39-56, find each sum. The sum of the...Ch. 12.2 - Find x so that x+3,2x+1,and5x+2 are consecutive...Ch. 12.2 - Find x so that 2x,3x+2,and5x+3 are consecutive...Ch. 12.2 - How many terms must be added in an arithmetic...Ch. 12.2 - How many terms must be added in an arithmetic...Ch. 12.2 - Drury Lane Theater The Drury Lane Theater has 25...Ch. 12.2 - Football Stadium The corner section of a football...Ch. 12.2 - Creating a Mosaic A mosaic is designed in the...Ch. 12.2 - Constructing a Brick Staircase A brick staircase...Ch. 12.2 - Cooling Air As a parcel of air rises (for example,...Ch. 12.2 - Prob. 66AECh. 12.2 - Seats in an Amphitheater An outdoor amphitheater...Ch. 12.2 - Stadium Construction How many rows are in the...Ch. 12.2 - Salary If you take a job with a starting salary of...Ch. 12.2 - Make up an arithmetic sequence. Give it to a...Ch. 12.2 - Describe the similarities and differences between...Ch. 12.2 - Problems 72-75 are based on material learned...Ch. 12.2 - Prob. 73RYKCh. 12.2 - Prob. 74RYKCh. 12.2 - Problems 72-75 are based on material learned...Ch. 12.3 - The formula for the n th term of a geometric...Ch. 12.3 - Prob. 2CVCh. 12.3 - Prob. 3CVCh. 12.3 - Prob. 4CVCh. 12.3 - Prob. 5CVCh. 12.3 - Prob. 6CVCh. 12.3 - Prob. 7CVCh. 12.3 - Prob. 8CVCh. 12.3 - Prob. 9SBCh. 12.3 - Prob. 10SBCh. 12.3 - Prob. 11SBCh. 12.3 - Prob. 12SBCh. 12.3 - Prob. 13SBCh. 12.3 - Prob. 14SBCh. 12.3 - Prob. 15SBCh. 12.3 - Prob. 16SBCh. 12.3 - Prob. 17SBCh. 12.3 - Prob. 18SBCh. 12.3 - Prob. 19SBCh. 12.3 - In Problems 19-26, find the fifth term and the n...Ch. 12.3 - Prob. 21SBCh. 12.3 - Prob. 22SBCh. 12.3 - Prob. 23SBCh. 12.3 - Prob. 24SBCh. 12.3 - Prob. 25SBCh. 12.3 - Prob. 26SBCh. 12.3 - Prob. 27SBCh. 12.3 - Prob. 28SBCh. 12.3 - Prob. 29SBCh. 12.3 - Prob. 30SBCh. 12.3 - Prob. 31SBCh. 12.3 - Prob. 32SBCh. 12.3 - Prob. 33SBCh. 12.3 - Prob. 34SBCh. 12.3 - Prob. 35SBCh. 12.3 - Prob. 36SBCh. 12.3 - Prob. 37SBCh. 12.3 - Prob. 38SBCh. 12.3 - Prob. 39SBCh. 12.3 - Prob. 40SBCh. 12.3 - In problems 41-46, find each sum. 1 4 + 2 4 + 2 2...Ch. 12.3 - Prob. 42SBCh. 12.3 - In problems 41-46, find each sum. k=1 n ( 2 3 ) kCh. 12.3 - In problems 41-46, find each sum. k=1 n 4 3 k1Ch. 12.3 - Prob. 45SBCh. 12.3 - Prob. 46SBCh. 12.3 - Prob. 47SBCh. 12.3 - Prob. 48SBCh. 12.3 - Prob. 49SBCh. 12.3 - Prob. 50SBCh. 12.3 - Prob. 51SBCh. 12.3 - For Problems 47-52, use a graphing utility to find...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 56SBCh. 12.3 - Prob. 57SBCh. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 60SBCh. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 63SBCh. 12.3 - Prob. 64SBCh. 12.3 - Prob. 65SBCh. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - In Problems 53-68, determine whether each infinite...Ch. 12.3 - Prob. 69MPCh. 12.3 - Prob. 70MPCh. 12.3 - Prob. 71MPCh. 12.3 - Prob. 72MPCh. 12.3 - In Problems 69-82, determine whether the given...Ch. 12.3 - Prob. 74MPCh. 12.3 - Prob. 75MPCh. 12.3 - Prob. 76MPCh. 12.3 - Prob. 77MPCh. 12.3 - Prob. 78MPCh. 12.3 - Prob. 79MPCh. 12.3 - Prob. 80MPCh. 12.3 - Prob. 81MPCh. 12.3 - Prob. 82MPCh. 12.3 - Prob. 83AECh. 12.3 - Prob. 84AECh. 12.3 - Salary Increases If you have been hired at an...Ch. 12.3 - Prob. 86AECh. 12.3 - Pendulum Swings Initially, a pendulum swings...Ch. 12.3 - Bouncing Balls A ball is dropped from a height of...Ch. 12.3 - Retirement Christine contributes 100 each month to...Ch. 12.3 - Saving for a Home Jolene wants to purchase a new...Ch. 12.3 - Tax-Sheltered Annuity Don contributes 500 at the...Ch. 12.3 - Retirement Ray contributes 1000 to an individual...Ch. 12.3 - Sinking Fund Scott and Alice want to purchase a...Ch. 12.3 - Prob. 94AECh. 12.3 - Prob. 95AECh. 12.3 - Prob. 96AECh. 12.3 - Prob. 97AECh. 12.3 - Multiplier Refer to Problem 97. Suppose that the...Ch. 12.3 - Prob. 99AECh. 12.3 - Stock Price Refer to Problem 99. Suppose that a...Ch. 12.3 - Prob. 101AECh. 12.3 - Show that the Amount of an Annuity formula that...Ch. 12.3 - Critical Thinking You are interviewing for a job...Ch. 12.3 - Prob. 104DWCh. 12.3 - Prob. 105DWCh. 12.3 - Prob. 106DWCh. 12.3 - Prob. 107DWCh. 12.3 - Prob. 108DWCh. 12.3 - Prob. 109DWCh. 12.3 - Describe the similarities and differences between...Ch. 12.3 - Use the ChangeofBase Formula and a calculator to...Ch. 12.3 - Prob. 113RYKCh. 12.3 - Prob. 114RYKCh. 12.3 - Prob. 115RYKCh. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 1-22, use the Principle of...Ch. 12.4 - In Problems 23-27, prove each statement. If x1 ,...Ch. 12.4 - In Problems 23-27, prove each statement. If 0x1 ,...Ch. 12.4 - In Problems 23-27, prove each statement. ab is a...Ch. 12.4 - In Problems 23-27, prove each statement. a+b is a...Ch. 12.4 - In Problems 23-27, prove each statement. ( 1+a ) n...Ch. 12.4 - Show that the statement n 2 n+41 is a prime...Ch. 12.4 - Show that the formula 2+4+6++2n= n 2 +n+2 obeys...Ch. 12.4 - Use mathematical induction to prove that if r1 ,...Ch. 12.4 - Use mathematical induction to prove that a+( a+d...Ch. 12.4 - Extended Principle of Mathematical Induction The...Ch. 12.4 - Geometry Use the Extended Principle of...Ch. 12.4 - How would you explain the Principle of...Ch. 12.4 - Solve: log 2 x+5 =4Ch. 12.4 - A mass of 500 kg is suspended from two cables, as...Ch. 12.4 - Solve the system: { 4x+3y=7 2x5y=16Ch. 12.4 - For A=[ 1 2 1 0 1 4 ]andB=[ 3 1 1 0 2 2 ] , find...Ch. 12.5 - The ______ ______ is a triangular display of the...Ch. 12.5 - ( n 0 )=and( n 1 )= .Ch. 12.5 - True or False ( n j )= j! ( nj )!n!Ch. 12.5 - The ______ ________ can be used to expand...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 5 3...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 7 3...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 7 5...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 9 7...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 50...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 100...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 1000...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 1000...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 55...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 60...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 47...Ch. 12.5 - In Problems 5-16, evaluate each expression. ( 37...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 17-28, expand each expression using...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - In Problems 29-42, use the Binomial Theorem to...Ch. 12.5 - Use the Binomial Theorem to find the numerical...Ch. 12.5 - Use the Binomial Theorem to find the numerical...Ch. 12.5 - Show that ( n n1 )=nand( n n )=1 .Ch. 12.5 - Show that if n and j arc integers with 0jn , then,...Ch. 12.5 - If n is a positive integer, show that, ( n 0 )+( n...Ch. 12.5 - If n is a positive integer, show that ( n 0 )( n 1...Ch. 12.5 - ( 5 0 ) ( 1 4 ) 5 +( 5 1 ) ( 1 4 ) 4 ( 3 4 )+( 5 2...Ch. 12.5 - Stirling’s Formula An approximation for n! ,...Ch. 12.5 - Solve 6 x = 5 x+1 . Express the answer both in...Ch. 12.5 - For v=2i+3jandw=3i2j (a) Find the dot product vw...Ch. 12.5 - Solve the system of equations: { xyz=0 2x+y+3z=1...Ch. 12.5 - Graph the system of inequalities. Tell whether the...
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- This way the ratio test was done in this conflicts what I learned which makes it difficult for me to follow. I was taught with the limit as n approaches infinity for (an+1)/(an) = L I need to find the interval of convergence for the series tan-1(x2). (The question has a table of Maclaurin series which I followed as well) https://www.bartleby.com/solution-answer/chapter-92-problem-7e-advanced-placement-calculus-graphical-numerical-algebraic-sixth-edition-high-school-binding-copyright-2020-6th-edition/9781418300203/2c1feea0-c562-4cd3-82af-bef147eadaf9arrow_forwardSuppose that f(x, y) = y√√r³ +1 on the domain D = {(x, y) | 0 ≤y≤x≤ 1}. D Then the double integral of f(x, y) over D is [ ], f(x, y)dzdy =[ Round your answer to four decimal places.arrow_forwardConsider the function f(x) = 2x² - 8x + 3 over the interval 0 ≤ x ≤ 9. Complete the following steps to find the global (absolute) extrema on the interval. Answer exactly. Separate multiple answers with a comma. a. Find the derivative of f (x) = 2x² - 8x+3 f'(x) b. Find any critical point(s) c within the intervl 0 < x < 9. (Enter as reduced fraction as needed) c. Evaluate the function at the critical point(s). (Enter as reduced fraction as needed. Enter DNE if none of the critical points are inside the interval) f(c) d. Evaluate the function at the endpoints of the interval 0 ≤ x ≤ 9. f(0) f(9) e. Based on the above results, find the global extrema on the interval and where they occur. The global maximum value is at a The global minimum value is at xarrow_forward
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