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Question 1001202: Which one of the following does not find the value of f ′(2) for f(x) = x2 + 3x + 1?
f prime of 2 equals the limit as h approaches 0 of the quotient of the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1 minus the quantity 2 squared plus 3 times 2 plus 1, and h
f prime of 2 equals the limit as h approaches 0 of the quotient of the square of the quantity 2 plus h plus 3 times the quantity 2 plus h plus 1 minus 2 squared plus 3 times 2 plus 1, and h
f prime of 2 equals the limit as x approaches 2 of the quotient of x squared plus 3 times x plus 1 minus 11, and the quantity x minus 2
All of these find the value for f ′(2).
Click here to see answer by KMST(5328)

Question 1001447: The profit in terms of number of units x produced is given by P(x)=-x^3/3+729-25000. The value of x that maximizes the profit is : ?
Click here to see answer by Fombitz(32388)

Question 1001482: Evaluate (n+1)!/(n-1)!
Click here to see answer by fractalier(6550)

Question 1001511: I truly see why people say it's not the calculus that trips people up, it's the algebra....
Let f(x) = x^(5/3) + 5x^(2/3)
f'(x) = (5/3)x^(2/3) + (10/3)x^(-1/3) = 0
someone told me you can factor out an x^(1/3) but how does that work when there is 5/3x and 10/3 there and ones an exponent of (2/3) and a negative exponent of 1/3...I am really thrown off by this.
Please explain
Thank you
Click here to see answer by Alan3354(69443)

Question 1001517: Q: Find the area A of the largest rectangle with base on the x-asix that can be inscribed in the region R bounded above the by the growth of y = 9 -x^2 and below by the x-axis.
A:I know that y = -x^2 + 9 is an inverted parabola that is shifted upwards 9 units because + 9 and hase x points on -3 and +3.
I know that the area of a rectangle is A=L*W or in this case I made it A=x*y for the x and y axis. So the x base stretches from both the [-3,3] and the y goes from [0,9] what I don't get is why is the Area set up like A=2x*y because I know we have the top and bottom part of the rectangle for X so 2X and the left and right side of the rectangle 2Y so shouldn't we take into account that there are two sides of Y representing the left and right side of the rectangle?
But it's not for some reason basic reason I am sure that I forgot. I think I might be confusing permiter or something. I get that confused a lot.
I think the answer goes:
A = 2x*y
A = 2x*(-x^2+9)
A = -2x^2 + 18x
then optimizing it
A' = -4x + 18
find the critical value of x
x=-/+√(9/2) but since we are talking about distance it's always the pos end.
so,
x=+√(9/2)
then plugging this back into my base form before the derivative:
A = - 2(√(9/2)^2 + 18(√(9/2)
Is this correct? what is my issue with the Area formula?
Thank you
Click here to see answer by Theo(13342)

Question 1000462: Find all zeros of the polynomial
P(x)=x^3−x.
Its zeros are ___,____ , and ___?

Note: if a root has multiplicity more than one, you have to list that root the same number of times as its multiplicity (this doesn't happen for too many students).
Hint: find one zero (e.g. rational zero theorem and test small values first), then use synthetic division to factor it out. Then you have a quadratic, factor it or maybe use quadratic formula.
Now enter the original polynomial in factored form:

Click here to see answer by Fombitz(32388)

Question 1001481: Find the sum of the odd integers between 21 and 61 inclusive
Click here to see answer by Alan3354(69443)

Question 1001573: isolate for x

1/(x^2) = 1/60
I forget the math rule for this
Please shoe how to solve
Thank you
Click here to see answer by fractalier(6550)

Question 1001479: Use the binomial theorem to expand (x-4)^5
Click here to see answer by fractalier(6550)

Question 1001480: Find the sum of the first 10 terms of the geometric series 4-8+16-32+64
Click here to see answer by fractalier(6550)

Question 1001596: Is my antiderivative correct?
Q: Find the function f such that f'(x) = 2sin(x) + sec^2(x) and f(0) = 3
f'(x) = 2sin(x) + sec^2(x)
f(x) = -2cos(x) + tan(x) + c
f(0) = -2cos(0) + tan(0) + c = 3
f(0) = +2+0+c=3
f(0) = c = 1
So final solution:
f(x) = -2cos(x) + tan(x) + 1
Is this correct?
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 1001594: Please check my answers:
Q: Let f(x) = 2x^3 - 3x^2 + 6. Find the max and min values of f on [-1,1]
A: f'(x) = 6x^2 - 6x
= 6x(x - 1) =0
x=0, x=+1 critical values. However, +1 is already there so 2nd der test is not needed.
f"(x) = 12x-6
f"(0) = 12(0)-6=-6<0, therefore a MIN occurs at 0.
plugging in the x-values given.
f(1) = 2(1)^3-3(1)^2+6 = 5
f(-1) = 2(-1)^3-3(-1)^2+6 = 1
After graphing it looks like (-1,7) is the MIN and (0,6) is the MAX.
Is this correct?
Thank you
Click here to see answer by jim_thompson5910(35256)

Question 1001742: I need help with this problem:
Find the value of K so that x = -1 is a zero of y = .
Click here to see answer by fractalier(6550)

Question 1001723:
Click here to see answer by fractalier(6550)

Question 1001730: I need your help with this,please:
The surface area of a rectangular solid is . if the length L and width W of the solid are equal, find the volume of the solid in terms of L.
Click here to see answer by MathLover1(20849)

Question 1001771: How much more would you earn in the first investment than the second investment?
$47,000 invested at 40 years at 14% compounded annually.
$47,000 invested at 40 years at 7% compounded monthly.
Click here to see answer by Boreal(15235)

Question 1001834: Three times the difference if 5 minus a number is 27. What's the number
Click here to see answer by addingup(3677)

Question 1001861: 1. � is a zero of the polynomial equation 8x3+ 4x2 - 2x - 1 = 0 of multiplicity 2.
2. Which set contains the linear factors of the polynomial f(x) = x3 + 2x2 - 16x - 32?
A. {(x+4), (x - 2), (x + 2)}
B. {(x-2), (x + 8), (x + 2)}
C. {(x + 2), (x - 16), (x + 1)}
D. {(x+4), (x - 4), (x + 2)}
E. {(x - 2), (x - 8), (x + 2)}
Click here to see answer by solver91311(24713)

Question 1002013: Solve the following:
log(7)24−log7(x+5)=log(7)8

2log(10)6−(1/3)log(10)27=log(10)x

log(4)x+log(4)9=log(4)27
log(2)3x+log(2)5=log(2)30

log(10)x+log(10)(x+21)=2
Thank you so much!!
Click here to see answer by harpazo(655)

Question 1002015: can help me for this question:
A tap 1 can fill an empty tank in 42 minutes and tap 2 can fill the empty tank in 30 minutes. how many minutes can fill the empty tank if use both tap 1&2.
Click here to see answer by ikleyn(52781)

Question 1002224: im not sure what ategory this falls under but please help with step by step!!
caroline gets a small business loan for $75,000 to start her hair salon. she will repay the loan with equal monthly payments over 5 years at 8.4% per year compounded monthly.
a) what is carolines monthly loan payment?
b) what is the total amount caroline repays ?
c) how much of the amount repaid is interest?
PLEASE ANSWER I WILL RECOMEND TO EVERYONE!!
Click here to see answer by Theo(13342)

Question 1002286: A city's transit authority serves 192,000 commuters daily when fair is $1.70. Market research has determined that every penny decrease in the fare will result in 1200 new riders. What fare will maximize revenue?
We are working on Quadratic Functions, and word problems are especially difficult for me to figure out. This is what I have and the answer is incorrect:
Revenue = Price(number sold)
Revenue = y
y=P(1.70-P)
y= 1.70p-p^2
using the formula for a Vertex of a Parabola: (-b/2a, c-b^2/4a)
a= -1 b= 1.70 c= 0
using the "x" part of that formula:
x= -1.70/2(-1)
I got the answer of $0.85 (WHICH IS INCORRECT)
Thank you
Angy
Click here to see answer by vleith(2983)

Question 1002392: What is the solution to this problem. Find the effective annual yield of an account paying 4.8% compounded monthly. Round to the nearest hundredth of an percent.

Click here to see answer by Boreal(15235)

Question 1002411: 21b^2-66b^2+9b=
Click here to see answer by fractalier(6550)

Question 1002410: Which of the following are difference of squares?
Y^2-16, m^2+25, 2x^2-9, 25a^2-1
Click here to see answer by fractalier(6550)

Question 1002478: Solve the equations for x:
11(a+3b)−2(5a−5x)−4(3a+8x)=0;
Click here to see answer by mananth(16946)

Question 1002640: Use the function value given to determine the value of sin(). Answer in exact form.
cos(∅)=6/7
Select one:
a. 6/√85
b. √13/7
c. 7/√85
d. √13/6
Click here to see answer by ikleyn(52781)

Question 1002661: I need a little help with this problem:
If f(x) = and g(x) = , write the equation of (f o g)(x).
Click here to see answer by fractalier(6550)

Question 1002694: Sam, jimmy and Andre shared a number of pennies in the ratio 8:5:3. Sam and Andre received a total of 671 pennies. How many more pennies did jimmy received than Andre?
Click here to see answer by Boreal(15235)

Question 1002696: In a shop, there are 25 bicycles and tricycles. There are 63 wheels in all. Find the number of bicycles and tricycles in the shop.
Click here to see answer by Michelleyay(1)

Question 1002698: The ratio of blue marbles to red marbles in the bag is 3 to 2. What percent of the marble are blue
Click here to see answer by person24(13)

Question 1002710: A model car was built on a scale of 1:30. If the height of the model car was 1 3/4 inches. What was the height of the actual car in feet?
Click here to see answer by fractalier(6550)

Question 1002699: In a shop, there are 25 bicycles and tricycles. There are 63 wheels in all. Find the number of bicycles and tricycles in the shop.
Click here to see answer by fractalier(6550)

Question 1002702: The VMS Cheerleader Are making spirits bags for the football players. They plan on dividing the treats by placing 10 treats into each bag. Which equation can be used to find the total treats, n, they need to purchase if they need to end up with 60 Bags?
A. N/10=60
B. 10n=60
C. 10/n=60
D. 60-n=10
Click here to see answer by fractalier(6550)

Question 1002798: This a pre-algebra question :)
If 4.5 pounds of cherries cost $10, what is the unit price per pound
Click here to see answer by solver91311(24713)

Question 1002797: This is pre-algebra question :)
if a person walks 2.4 miles in 1.5 hours, how far can he walk in 3 hours

Click here to see answer by solver91311(24713)

Question 1002811: This is a pre-algebra question :)
If a person walks 2.4 miles in 1.5 hours, how far can he walk in 3 hours. I appreciate that a tutor help me but i still dont get it. PLz help me. May u go thruough it step by step :).
Click here to see answer by rfer(16322)

Question 1002695: Jamila and Akio had the same amount of money to spend. After Jamilia spent $33 and Akio spent $42, Jamilia had 4 times as much money left as Akio. How much money did each of them have in the beginning?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1002708: Kara earned $22.50 for 3hours of babysitting. At this rate, which equation can be use to find y, the amount of money Kara will earn for x hours of babysitting?
A.y=-3x+22.50
B.y=3x+(22.50/3)
C.y=3(22.50)x
D.y=(22.50/3)x
Click here to see answer by Cromlix(4381)

Question 1002693: Constanza has 13 blue envelopes. She has 3 fewer yellow envelopes than blue envelopes. She has 7 times as many green envelopes as yellow envelopes. How many envelopes does com stanza have in all?
Click here to see answer by Cromlix(4381)

Question 1002905: Solve the system if possible by using Cramers rule
9x-4y+3z=9
8x-6y+4z=4
-3x+y-2z=2
Evaluate the determinants D, Dx, Dy, and Dz
Pleasee help me with this as soon as possible, thanks!!
Click here to see answer by ikleyn(52781)

Question 1002945: Solve for R
0=-16250000+250000000(.09+R)/R
Click here to see answer by Alan3354(69443)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560