# Pre- Calculus

21,824 results, page 100

1. ### Calculus

for a normal curve what percentage of values falls beyond two standard deviations from the mean
2. ### Calculus

Using a graphing calculator and the concept of differentials determine the values for x when 1/(1+3x)^5 is approx = to (1-15x) within .01
3. ### Calculus

y = g(x) = cos(x) Can someone show how to estimate g'(pi/2) using the limit definition of the derivative and different values of h. Thanks!
4. ### Calculus

Find the derivative of the following functions using the f prime of x = the limit as h approaches 0 of f(x+h) – f(x) all over h a)ƒ(x) = x2 + 5^x b)ƒ(x)= 1/2^x
5. ### Calculus

Show that the limit as h approaches 0 of (e^h-1 ) all over h = ln e = 1 using at least two numerical examples.
6. ### calculus

find the two numbers whose sum is 10, if the product of one by the cube of other is a maximum.
7. ### calculus

determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area
8. ### calculus

determine the diameter of closed cylindrical tank in meters if the volume is 11.3m^3 to get min. surface area.
9. ### Calculus

Find all solutions of the equation correct to three decimal places. (ex: 0.617 or -1.764) x^3=3x-3
10. ### calculus

Use the Trapezoidal Rule to approximate ¡Ò8 4 ln(x2+5) dx using n=3. Round your answer to the fourth decimal place.
11. ### calculus

Find a cubic function y = ax3 + bx2 + cx + d whose graph has horizontal tangents at the points
12. ### Calculus

Find the interval on which the curve of ∫ 6/(1+2t+t^2) where b=0 and a=x is concave up. Heres my work but im not sure at all g '(x) = 6/(1+2x+x^2) g ''(x) = -(2+2x)/[(1+2x+x^2)^2] upward when g ''(x) > 0. - (2+2x) > 0 x < -1
13. ### Calculus

find the radius and center of curvature of the parabola y=x^2 -4x + 4 at any point (x,y) on the curve.draw the circle of curature.
14. ### Calculus: Implicit Derivatives

Compute d/dx[f(g(x))] -where f(x)=x^4-x^2 -and g(x)=x^2-7 (Note: I tried 5 times but I still got this wrong. Plz help)
15. ### Calculus

Find equation of two tangent lines to curve y=x^2 that intersect @ (2,-2). Need exact values.
16. ### calculus help

integrate cos^10xdx.. .plz show working i really wanna learn these thanks anyway
17. ### Calculus

The Riemann sum s for f(x)=4x^2, 0<=x<=1, taking the sample points to be the right endpoints is given by s=4n^2+6n+2/3n^2. True or False?
18. ### Calculus

give a parametrization of the ellipse x^2/25 + y^2/9 =1 that travels once counter clockwise in an interval at belongs to (0, 2pi)?
19. ### Calculus

Find the dimensions of the largest right circular cylinder that can be inscribed in a sphere of radius 6 inches.
20. ### Calculus

A particle travels along the parabola y=ax^2+x+b. At what point do its abscissa and ordinate change at the same rate?
21. ### Calculus

Find the area of the largest rectangle cut from the first quadrant by a line tangent to the curve y=e^(-x^2)
22. ### Calculus

Solve the differential equation dy/dx = √[(x^3)(y)] with initial conditions x = 1, y = 2 so far i got y = (x^5)/25 + c so do i plug in 2 = (1^5)/25 + c 2 - (1/25) = c c = 49/25 = 1.96 is this correct?
23. ### maths sir-reiny help calculus

solve the differential equation (x^2-xy+y^2)dy-xydx=0 plz show me working
24. ### Calculus

find the extremum of f(x,y) subject to the given constraint, and state wether it is a maximum or minimum. 4y^2-29x^2; 3x+y=21
25. ### Calculus

Find the volume of the given solid. Under the surface z = 7xy and above the triangle with vertices (1, 1), (4, 1), and (1, 2)
26. ### calculus

For each of the following limits, determine the indicated limit if it exists. lim f(x)=? x approaches 4 from the left f(x)= -3.9997
27. ### Calculus

Find the particular solution that satisfies the differential equation and the initial conditions. f''(x) = x^2 f'(0) = 8, f(o)=4 f'(t) 10t - 12t^3, f(3) =2
28. ### Calculus

Find the particular solution that satisfies the differential equation and the initial conditions. F'(x) = 4x^2 f (-1)=3 F'(t)=10t-12t^3 f (3)=2
29. ### Calculus

Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=18-x, y=3x-6 and x=0 about the y-axis V=
30. ### Calculus

If an isosceles triangle has a fixed perimeter P, find the dimensions that maximize that area. Show how you know that it is the maximum.
31. ### Calculus

use implicit differentiation to find dy/dx if 5xy+x^2y=10 Is this correct answer for this question (-5y-2xy)/(12x)
32. ### Calculus

The end behavior of f(x)=(2+x^2)/(x^2-36) most closely matches which of the following: y=1 y=-1 y=2 y=0 There is no leading coefficient so I am not sure what the answer is.
33. ### calculus

Find the volume of the solid obtained by rotating the region bounded by the curves y = x^8, y = 1 about the line y = 5.
34. ### Calculus AB

What's the lim(x-->-infinity) sqrt(x^4-1)/(x^3-1)? I've tried solving for it but I got -1/0, which would make it undefined. Is that correct?
35. ### Calculus

True or False,... Im confused If the continuous function f(x) has a domain (-∞, +∞), then either lim --> ∞ exists, or limit X--> ∞ is +-∞
36. ### Math

The letters in the words ALGEBRA, GEOMETRY, and CALCULUS are represented by the sets V= {A, L, G, E, B, R}, W= {G, E, O, M, E, T, R, Y}, and X={C, A, L, U, S}, respectively. I don't understand this can someone help?
37. ### calculus

Consider the following function. f(x) = (6 − x)e^−x (c) Find the point of inflection. (If an answer does not exist, enter DNE.) (x,y)=( , )
38. ### calculus

in your own words, describe how limits can be used to find the instantaneous rate of change of a function.
39. ### Calculus

find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the y-axis
40. ### Calculus

Use washers to find the volume formed by rotating the region enclosed by: y=1.4−2|x−13| and y=0 about the y-axis
41. ### calculus

Find the exact area of the surface obtained by rotating the given curve about the x-axis. x=t^3, y=t^2, 0 ≤ t ≤ 1
42. ### calculus

Find the slope of the tangent line to the given polar curve at the point specified by the value of θ. r=6/θ, θ=π
43. ### calculus

If x = 18cos^3θ and y = 18sin^3θ, ﬁnd the total length of the curve swept out by the point (x,y) as θ ranges from 0 to 2π.
44. ### calculus

Evaluate the double integral ∫∫ y dA over D, where D is the top half of the disk with center the origin and radius 5?
45. ### Calculus

shiw that line tangents to an ellipse at the points P makes equal angle will the joining focus
46. ### Calculus

Differentiate and simplify as much as possible. Cube root(5z+6/-9z+3). The answer should be y'= (23(-9z+23)^2/3)/9(3z-1)^2(5z+6)^2/3) So far, I'm stuck at y'=[23/3(5z+6)(3z+1)][((5z+6)^1/3)/((-9z+3)^1/3)]
47. ### Math calculus 2

Find the integrating factor for the following differential equation (cos8x)yâ€²+8(tan8x)y=4sec8x,0<x<Ï€/16.
48. ### Math calculus 2

Find the volume of the solid generated by revolving the given region about the line x=16: y=4-x,y=0,y=2,x=0.
49. ### Calculus II

Find the volume of the solid obtained by rotating the region enclosed by the curves y=1x and y=3−x about the x-axis.
50. ### Calculus

Determine how many terms are required to approximate the sum of the series ((-1)^(n+1))/n^2 from n = 1 to inf with an error of less than 0.001.
51. ### Calculus 1

y= 3/x^3; [1,3] Find the area under the graph of the function over the integral given. The book answer is 4/3
52. ### Calculus

The graph of the parametric equations x=1+2cos3t and y=1-2sin3t, for [0, 2pi], is a circle of a radius whose magnitude is what?
53. ### Calculus

Find the limit, if it exists. (If an answer does not exist, enter DNE.) lim x→∞ sqrt(25x^2 + x) − 5x
54. ### calculus

If 'a' and 'b' are unit vectors that make an angle of 60 degrees with each other, calculate l 3a - 5b l and l 8a + 3b l the 'a' and 'b' have a carat of top of them
55. ### pre cal

The vector u = 94300, 5200) gives the number of units of two models of laptops produced by a company. The vector v = (1800, 1200) gives the price in dollars of the two models of laptops, respectively. Identify the vector operation used to increase revenue by 5%
56. ### Algebra

Hello. It's the beginning of the school year, and I've quite forgotten what I learned in Pre-Algebra...The question in the text book is this : Simplify each pair of expressions. 1. 36 - 8 ÷ 2 (36 - 8) ÷ 2 There are several problems like the one above. Under the same set of ...
57. ### pre calc

Sam Bordner can dig his garden in 4 hours end Elsie Bordner takes the same amount of time. After working together for an hour, their son Gregory helps them finish in just 30 minutes. How long would it have taken gregory to dig the garden by himself? Can someone help me form an...
58. ### Pre Calc still confused

Solve: (x+5/x)+(6/x-4)=(-7/x^2-4x) I multiplied the entire function by x and x-4 and after doing that I got down to the quadratic equation x^2+7x-13=0 I did the quadratic and got x=1.525 and -8.525 I feel like I made a mistake because when I plug in both of those answers for x...
59. ### Trig/Pre-Calc

Could someone please help me on this problem. I'm really confused, and this assignment is due tomorrow. Solve the logarithmic equation algebraically. Approximate the result to three decimal places. log4x-log4(x-1)=1/2 To start off the equation, I know you would do the ...
60. ### Pre-Cal

This exercise is based on the following table, which lists interest rates on long-term investments (based on 10-year government bonds) in several countries in 2008. How long, to the nearest year, will it take an investment in Germany(4.3%) to triple its value if the interest ...
61. ### pre algerbra

if 150 is subtracted from 7 times a number ,the result is the same as when 250 is subtracted from 3 times the number. what would be the result if 100 were added to to 6 times the number
62. ### Pre-Calc Answer Check

1. Find a polynomial with a zero at 3 and a zero of multiplicity 2 at -1. My answer: x^3 - x^2 - 5x - 3 = 0 2. Find the zeros and multiplicities of f(x) = x^5 - 16x^4 + 64x^3. My answer: x = 0 of multiplicity 3 and x = 8 of multiplicity 2.
63. ### pre cal

Use identities to simplify each expression. sin(x)+cos^2(x)/sin(x) = ? tan^3(x)−sec^2(x)tan(x)/cot(−x) = ? sin^4(x)−cos^4(x) =?
64. ### chemistry

How do I find out how many ml of NaOH i need to titrate H3PO4. I used the ice table to knock off the two protons but im using a .2200M NaOH and do not Know how to determine the volume needed before hand. In other words i need some pre-calculations for volume of titrate needed ...
65. ### Pre Cal/Vectors

Can someone show the steps involved in figuring out this type of problem? Given the magnitudes of vectors u and v and the angle Ό between them, find the magnitude of the sum u + v to the nearest tenth and the angle that the sum vector makes with u to the nearest degree. /...
66. ### pre-algebra

a local newspaper can be ordered for delivery on weekdays or sundays. a weekday paper is 35 cents and the sunday edition is \$1.50. the stadles ordered delivery of the weekday papers.the month of march had 23 weekdays and april had 20. how mach should the carrier charge the ...
67. ### Pre-Cal

Evaluate the following. Show you work: A). tan^-1(tan(5π/6)) B). cos^-1(cos(-π/4)) Can someone please show me the steps to evaluating this problem. I've been working this for 2 hours today and all of last night, I still can't seem to figure it out. Please leave notes...
68. ### PRE-CALC

I am given the rational function: f(x)= (x^3 - 1) / (x^2 - 4) I found that the domain is all real numbers except x= plus or minus 2 , I also found that the x intercept is x=1, however I do not get how to find: the y-intercet , or identify the Horizontal, vertical or slant ...
69. ### Pre-Calc

Can anyone direct me to learn more about polar coordinates. I'm in online college course and really am confused. In high school, I never heard of polar coordinates. Like they say is the following the graph of point (3,15) and show it on polar grid-I don't get it at all. Please...
70. ### Geometry

Triangle UVW is the pre-image of triangle RST with a scale factor of 3. Find the area of triangle UVW if the area of triangle RST is 9 cm2.
71. ### pre algebra

a 28 foot flagpole cast a shadow 95 feet long. a nearby person cast a shadow 17.5 feet long. how tall is this person
72. ### pre cal

f as a function of x is equal to the square root of quantity 5 x plus 7, g as a function of x is equal to the square root of quantity 5 x minus 7 Find (f + g)(x) Please Help
73. ### math, pre- statistics

Hospital records indicated that maternity patients stayed in the hospital for a number of days shown in the distribution Days Stayed Frequency 1 34 2 23 3 17 4 11 5 8 If a patient's records are selected calculate the probability of each event. A patient stay exactly 3 days.(...
74. ### pre-calc

"An open gift box is to be made from a square piece of material by cutting 2 centimeter squares from each corner and turning up the sides. The volume of the finished gift box is to be 200 cubic centimeters. Find the size of the original piece of material." The sides of the box...
75. ### pre calc

EAch of 3 circles touch the other 2. Circle A=radius 8cm Circle B=radius 4cm Circle c=radius 1cm A triangle is formed by connecting the centers of the 3 traingles. Determine the largest angle for the traingle and which circle is the largest angle? Also what is the area? Please...
76. ### Pre Algebra

In Wilbur's math class, his grade is based on the average score of six tests, each worth 100 points. Wilbur always worries about his grade. He knows that his average on the first four tests is 88.5. What is the lowest average he could get on his next two tests and still ...
77. ### pre algebra

Reiny can you please help with these 3 problem. 1. a1=-4;an-1-3 this is find the first five terms of the recursively defined sequence. Problem 2 and 3 is write the first terms of the explicitly defined sequence an=4n+2. problem 3 an=2(-3)n-1
78. ### Math: Pre Cal

f(x) = {−8 if −3 ≤ x ≤ 0 {x if 0 < x ≤ 3 Evaluate the given expressions. a)f(-1)= b)f(0)= (^Teach how to do this.) What is the formula? a)(−8)*(x > −3)*(x >= 0) + (x)*(x <= 0)*(x > 3) b)(−8)*(x >= −3)*(x &...
79. ### Pre-Algebra

which of the following describes a situation in which a data set with a low mean absolute deviation is preferable? A. a car dealership sells cars at different prices B. a factory manufactures computers of different sizes and shapes. C. a food processing plant fills each can ...
80. ### Pre-Cal (Trig) Help?

The following relationship is known to be true for two angles A and B: cos(A)cos(B)-sin(A)sin(B)=0.957269 Express A in terms of the angle B. Work in degrees and report numeric values accurate to 2 decimal places. So I'm pretty lost on how to even begin this problem. I do know ...
81. ### Pre Calc

I already asked this question and had some help, but I am still confused on a piece of it. I'm not sure what differentiate is. I understand how you got a and b, but I am confused with c. What is differentiate and how did you get the equation dA/dx = 72 - 6x^2 Question: Here I ...
82. ### english

For the Unit 1 Discussion Board assignment, you will: (1) select a topic from the list below, (2) develop a thesis statement from your topic selection and post your writing strategies for developing your thesis, (3) explore the features of the MyCompLab and summarize your ...
83. ### pre calc

The population of a colony of mosquitoes grows exponentially according to the function P(t) = P0ekt 1. If there are 1,000 mosquitoes initially and there are 1800 after 1 day, what is the size of the colony after 3 days? 2. How long will it take the colony to reach 10,000 ...
84. ### HEALTH CARE FINANCIAL ACCOUNTING

The local school district has asked your clinic to submit a proposal to do pre-employment physicals for 60 bus drivers. What financial or accounting information do you need to submit the proposal? What will you charge the school district?
85. ### pre algerbra

susan bought a 6 month \$1,700 certificate of deposit.At the end of six months she received \$63 simple interest. what annual rate of interest did the certificate pay? In a year then it would be 2 times \$63 So \$1700 times the rate of interest (we will call it X) will equal the ...
86. ### English Technical writing pre-law

I am writing a mini appellant brief and I have to suport why a university is not liable for the harassment of its two employees a male and female. The female was harassed by another employee by sexual comments the male was harassed by a hostile work enviornment. My question is...
87. ### Pre-Calc

A company that produces portable cassette players estimates that the profit P (in dollars) for selling a particular model is P=-76x^3+4830x^2-320000, 0 is less than or equal to x is less than or equal to 50, where x is the ad expense (in tens of thousands of dollars). using ...
88. ### 8th Grade Pre-Algebra

Hi, I really need some help with scientific notation. How do I convert large numbers like 108,000,000 and other numbers that are even larger than this to scientific notation? This is for a math project and even though I learned about this, it's still hard for me to understand ...

1. what are the type of comparison and contrast essay? 2. what are the ways to revise your paragraph in a comparison and contrast essay? 3. define of historical cause and effect essay? 4. comparison and contrast about pre-writing, drafting, revising, editing and proof and ...
90. ### pre-algebra

Write the equation of this situation: the value,v, in hundreds of dollars of Debbie's coin collection is 10 dollars more than 1/2 of the age, t (in years). Then determine the value of Debbie's coin collection of it is 8 years old. Please show all of your work.
91. ### Pre Calc

A bus trip of 90 miles would have taken an hour less if the usual average speed had been increased by 3 miles per hour. Find the usual average speed of the bus.
92. ### math pre calc

at the pittsburch zoo, children ride a train for 25 cents, adults pay \$1 and seniors pay .75. on a given day, 1400 passengers paid a total of \$740 for the rides. there were 250 more children riders than adults and senior riders combined.find the nu,ber of each type of rider. ...
93. ### Pre-Cal

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places where appropriate.) cos θ = −1/2 1).θ= Answer-->(2π/3)+2πn, 4π/3+2πn 2). List six specific solutions a). b). ...
94. ### Pre Calc

tan(x)=5 sin(x) for interval -π < x < π A) 0, 1.571 B) -1.571, 0, 1.571 C) -1.369, 0, 1.369 D) 0, 1.369
95. ### pre algebra

the equation d=1.2 radical h , gives the distance ,d, in miles a person can see to the horizen from a hieght ,h, in feet.( hint: 1 mile =5,280 ft. A) solve the eqaution for h . B)longs peak in the longs national parkis 14,255 feet in elevation . How far can you see the horizen...
96. ### Pre-Cal

Two airplanes take off from an airport at the same time. One travels on a heading of 45 at 420 mph and the other on a heading of 150 at 400 mph. After two hours, how far apart are the airplanes? A.650.66 miles B.1,160 miles C.1,301 miles
97. ### Pre Algebra

If I blink 22 times in 10 seconds, how many times would I blink in 1,000,000 seconds. Need an algebraic or? expression to show my calculation. I have an answer of 2,200,000 blinks in 1,000,000 seconds
98. ### Pre-Cal

An airplane's velocity with respect to the air is 580 miles per hour, and it is heading N 60 degrees W. The wind, at the altitude of the plane, is from the southwest and has a velocity of 60 miles per hour. What is the true direction of the plane, and what is its speed woth ...
99. ### Pre AP Chemistry

If I have a 1200 gram sample of a soft drink and it contains 180 grams of sugar, the percentage by mass of the sugar in the drink is 15%. If the sugar in the drink is sucrose (C12H22O11), how many grams of pure carbon can be obtained from decomposing all of the sugar in the ...
100. ### Physics Pre-Ap

014 (part 1 of 2) You drop a stone from a position of rest. How far will it fall vertically in the ﬁrst 2 s? The acceleration of gravity is 9.8 m/s 2 . Answer in units of m 015 (part 2 of 2) If you instead toss it horizontally at 2.7 m/s, how far will it fall vertically...