# Pre- Calculus

21,824 results, page 76

1. ### Calculus

find the point(s) of inflection on the function f(x)= 10x + 10/x
2. ### Calculus

determine all asymtote(s) of f(x)= 1/(x(x-1)^2) using limits
3. ### Calculus

Sketch the region in the first quadrant enclosed by y=8/x,y=4x and y=1/4x
4. ### Calculus

For what values of the constants a and b is (1,3) a point of inflection of the curve y=ax^3+bx^2?
5. ### Calculus 1

In the problem, x and y are differentiable functions of t. Find dx/dt when x = 9, y = 2, and dy/dt= 2. x^3y^2 = 2916
6. ### calculus

For the function f(x) = 20x^3 − 3x^5, determine the interval(s) for which f(x) increases. (–2, 2) (–∞, –2) U (2, ∞) (–2, 0) U (2, ∞) (–∞, –2) U (0, 2)
7. ### calculus

use implicit differentiation to show: d/dx(tan^-1x)=1/(x^2+1)
8. ### Calculus

If y = 2x - 8, find the minimum value of the product of xy. I think this is -8.
9. ### calculus

use implicit differentiation to find dy/dx if 5xy+x^2y=10
10. ### calculus

Given, F(n+1)-12f(n)=0. n≥1, where F(1)=-3 find the solution to the equation.
11. ### Calculus

Find the x-coordinates where f '(x) = 0 for f(x) = 2x + sin(2x) in the interval [0, 2π]. MY ANSWERS: x = π/2 x = 3π/2
12. ### Calculus

Which of the following is written in explicit form? A.y=x B.x^2-6xy-9y^2=0 C.y=0 D. y= -√1-x^2
13. ### Calculus algebra review

((1/2+h) -(1/2)) / h found LCD of numerator ((2)-(2+h)/2(2+h))/h is it 1
14. ### Calculus

Knowing that F(-2) = -7, F'(-2)= 12, g(-2)= -3 and g'(-2)= -9, Compute: a) h'(-2) if h(x)= f(x)g(x) b) h'(-2) if h(x) = f(x) / g(x) c) h'(-2) if h(x) = g(x) / 1+(f(x))^2 Show all steps
15. ### Calculus

Comute f(x) of a) f(x) = sinxcosx / sinx + cosx b) f(x) = (1-x^2) / (1+x+x^2) c) f(x) = x^7 secx
16. ### calculus

Find the area of the region between the curves y = x^2 and y = 2/(x^2+1).
17. ### Calculus

Solve the initial value problem. dy/dx = 3 sinx and y = 2 when x = 0. Is this c = 5?
18. ### Calculus

Can someone explain to me why the derivative of sinx^2 is y'=2xcos (x^2)???
19. ### Math - Calculus

Show that if f(x) is continuous and u(x) and v(x) are differentiable functions, then: d/dx ∫_v(x)^u(x) f(t)dt=u'(x)f(u(x))-v'(x)f(v(x))
20. ### calculus

Evaluate ∫-3,3 x^z+2x+1dx using the definition of integration

h(x)=∫[-3,sin(x)] (cos(t^3)+t) dt

23. ### Calculus

find the area of the region bounded by the graphs of y=-x^2+5x+2 and y=2
24. ### calculus

Find the area enclosed by the curve x = (t^2)-2t, y = (t)^(1/2) and the y-axis.
25. ### calculus

Find the area of the shaded region. r^2=sin(2θ).

find the area bounded by the curves y^2=2x+6 and x=y+1
27. ### calculus

ind the radius of convergence, R,and the interval, I, of the series. n=3 [x^(n+1)]/(5n!)
28. ### Calculus

Find the area of the region between the curves y=8−x2 y=x2 x=−3 and x=3
29. ### Calculus

Which of the following series converge? A. 1 + 1/2^2 + 1/3^2 + ... + 1/n^2 + ... B. 1 + 1/2 + 1/3 + ... + 1/n + ... C. 1 - 1/3 + 1/3^2 - ... + ((-1)^(n+1))/(3^(n-1)) + ... I think A and C are the answer.
30. ### Calculus

For what values of k does the series ∑n=1 to infinity (11/(2k^2 + 3))^n converge? I think this is k < -2 and k > 2.
31. ### Math-Calculus

A function has f''(x) = 10 and has f'(4) = 0 and f(2) = 4. Find f(x). How to approach this question?
32. ### Calculus help

Find the area under the graph of f(x) = e-ln(x) on the interval [1, 2].
33. ### Calculus

Show that f(x) = x^3 and g(x) = 200x^3 grow at the same rate.
34. ### Calculus

What is the parametrization of the line between (2,-5) (5,5)? (2,-5)+ t (3,10) Is x= 3t +2 and y = 10t -5 correct?
35. ### Calculus

Show that the function F(x) = integral[x to 3x](1/t)dt is constant on the interval (0, +∞).
36. ### Calculus AP

hi again im really need help TextBook: James Stewart:Essential Calculus, page 311. Here the problem #27: First make a substitution and then use integration by parts to evaluate the integral. Integral from sqrt(pi/2) TO sqrt(pi)of θ^3 cos(θ^2)dθ. i did my problem...
37. ### Math

I was thinking that I have to multiply but that doesn't make sense. However, I am terrible at story problems. A child's dose of medicine is 1/6 of a pre-measured dose cup. If the bottle of a medicine is the size of 9 doses, how many children's doses are there in the bottle?

The local school system asks you to submit a proposa to do pre-employment physicals for sixty bus drivers. Wha financialor accounting inrmation do you need to submit a proposal? What will you charge the school bus system?
39. ### PRE ALGEBRA

solution to electrical poles that carry electrical wire seem to get smaller the further away you are. Find the apparent height of each pole if the tallest pole is 50 feet tall and there is 100 feet between poles.
40. ### pre-calc

The force, F, between two bodies of mass m1 kilograms and m2 kilograms whose centers of mass are a distance of r meters apart is given by the formula F = (Gm1m2)/ r2 where G is the gravitational constant of the universe. What are the units of the gravitational constant G?
41. ### Pre Algebra

Use a five-step plan to solve the following word problem. Show all five steps in your response: Doug is twice Anne's age. Doug is 34 years old. How old is Anne?
42. ### Pre Algebra

The low temperature for 6 consecutive days in a Montana city were 9°,3°,4°,16°,11°,and 5°. What would the low temperature have to be on the seventh day to have a mean low temperature of 6°for the week?
43. ### Pre-Algebra

Is this correct? If I'm mistaken, please correct it for me, and show me how. Thanks. [Fractions, Decimals, and Percents.] 33 & 1/3 of \$90 = \$21.00 100% of 500 = \$500 1% of 500 = \$5.00 50% of 70 = \$35.00 100% of 70 = \$70.00 Thanks, you don't have to tell me all of then, just ...
44. ### Pre Cal.

State the amplitude, period, and phase shift of the function y=-3cos(3x+ (3pi/2)) Amplitude: 3 Period: 2pi/3 Phase Shift: -pi/2 Am I right?
45. ### PRE-ALGEBRA

A nurse wishes to to add water to 60 ounces of 20% solution of benzalkonium chloride to dilute it to an 8% solution. How many ounces of water does she need to add?
46. ### Pre-calc/Trig

If cot(a)=3 and sin(b)= (15/17) where a being alpha lies in quadrant 3 and b being beta lies in quadrant 2, what is the exact value of sin(2a)
47. ### Pre algebra

find the area of the triangle with base 2 1/5 yards and height 5/8 yard.( The area of a triangle equals half the product of its base and height)
48. ### pre-algebra

Use algebra tiles to find the difference. Let one white tile equal +1and one black tile equal -1.6-(-9) Thanks
49. ### Pre- Algebra

Linda entered an elevator on floor 9. She rode down 8 floors then she rode up 11 floors and got off. What floor was she on when she left the elevator?
50. ### Pre Calc

Airplane going N 60 degrees W at a speed of 400 mph. What wind direction, at a speed of 75 mph will produce a resultant direction of N 50 degrees W
51. ### Pre-Algebra

If you used the rule (3x + 1, 3y – 4) to transform Mug into a new figure: How would the angles of the new figure compare to Mug’s angles?
52. ### Pre-algebra

I can't figure out how to solve: Question #1: Two number cubes are rolled and a coin is tossed. Find the number of possible outcomes. Question #2: What is the probability of winning a lottery game where the winning number is made up of 6 digits from 0-9 chosen at random.
53. ### English

Hello! Has anyone read the story "The Necklace" by Guy de Maupassant? If you had, can you give me some examples of a pre-reading, while-reading and post reading activity which I could do with my students in the class? ( students - 18 year olds, learning english as a foreign ...
54. ### Pre-Cal/Trig

Explain how to solve the following question. Surveying: From a point A hat is 10 meters above level ground, the angle of elevation of the top of a building is 42 degrees and the angle of depression of the base of the building is 8 degrees. Approximate the height of the building.
55. ### PRE-CALC

A number is selected at random from the set {2, 3, 4, … ,10}. Which event, by definition, covers the entire sample space of this experiment? A) The number is greater than 2. B) The number is not divisible by 5. C) The number is even or less than 12. D) The number is neither ...
56. ### Pre-Cal

Evalute the expressions: 1). sin(π/3)+cos(π/3) 2). (cos 45°)^2-(sin 45°)^2
57. ### Pre- algebra help please anyone

X to the power of 11 like x11 and x to the power of two like x2 x9/x2 A x11 B x7 C 7 D x5
58. ### Pre Cal---Fix to the question below

Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t, whenever possible. (If there is no solution, enter NO SOLUTION.) 4pi = ( , ) sin(4pi) = cos(4pi) = tan(pi) = cot(pi) = sec(4pi) = ...
59. ### Philosophy

My text explains the answer to this question, however I do not understand the answer. Instead of posting the entire text I was wondering if anyone could explain this to me in Laymans terms. Thanks. How did financial considerations and the international market affect the pre-...
60. ### pre-algerbra

I have been working on this problem for an hour and a half! I keep getting 1.33 but I know that's not right!! Jim drove the 120 miles to grandmothers house in 3 hours. He increased the speed by 10 miles per hour on the way home. How long did it take him to drive home?
61. ### Trig/Pre-Calc

\$2500 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to (a) double and (b) triple. r=0.085 I know you use the formula A=Pe^rt and you would start by setting it up as follows: A=(2500)e^(0.085)(t) I'm not sure where ...
62. ### English

I forgot to add a sentence at the beginning. I don't think the verb trust is correct. When Johnny moved to New York. Claire wondered how they could trust each other. By the way, can you recommend a site where I can find entry tests for students at a pre-intermediate/...
63. ### pre ap physics

a car with amass of 1120 kg starts from rest and accelerates to the speed of 17.5 m/s in 18.8 s. assume that the force of resistance remains constant at 402.5 N during this time. what is the average power developed by the car's engine? answer in units of W can you please ...
64. ### Pre-Calc

The concentration C of a chemical in the bloodstream t hours after injection into muscle tissue is C=(3t+t)/(t^3+50) a. determine the horizontal asymptote of the function and interpret its meaning in the context of the problem. b. use a graphing utility to graph the function ...
65. ### Calculus (final question I promise)

1. Use calculus and algebraic methods to do a complete analysis (i.e., intercepts, critical points, intervals of increase and decrease, points of inflection, intervals of concavity, local maximum or minimum points) for each of the following functions and then sketch the graph ...
66. ### pre-alg

What is the scale that you will use for your scale drawing? I'm not understanding the question? is it asking what number i will use? or is it asking what type of graph type deal I will use? (My scale was 115 x 160)
67. ### Pre calc

A boat is going 30 mph with a direction of 100 degrees east of north. The water current is 15 mph with a direction of 22 mph. What is the magnitude of boat and direction
68. ### Pre-Algebra

A 9 foot ladder leans against a building at a point 7 feet above the ground. At what height would a 15 foot ladder touch the building if both ladders for the same angle with the ground? Propotion? But I just get a decimal...
69. ### Pre Calc

The half-Life of radioactive earthium is 2651 years. Find how many years it will take 100 grams of earthium to decay to 10 grams. I know the equation is A=Ae^(-rt) I tried working it out but I think I am doing it wrong. I did 10=100e^(-r*2651) Can anyone help? Thanks a lot
70. ### Government US

22. The phrase that best describes the shift in America’s world position from the pre- to the post- World War II eras is a. internationalism to isolationism. b. isolationism to internationalism. c. containment to isolationism. d. interventionism to isolationism. e. None of ...

I have three questions: 1. What is the remainder of (x^3 + 2x^2 - 5x+4) /(x-3) I think the answer is 34?? 2. Evaluate (4+5i)(2+2i) =4(2) +4(2i) + 5i(2) + 5i(2i) = 8 + 8i + 10i+10i^2(-1) =-2 + 18i 3. Using Rational Roots Theorem, list all possible rational root of f(x) = 2x^3...
72. ### Pre Algebra

A pot water at a temperature of 25°C is placed on a hot burner. The temperature increases at a rate of 15° per minute until it boils at 100° C. The water continues boiling at this temperature. What is the slope of the graph after the temperature reaches 100° C?
73. ### Pre calc

sin(θ − ϕ); tan(θ) = 5/12 θ in Quadrant III, sin(ϕ) = − sqaure root10/10 ϕ in Quadrant IV. I used the sin equation sin(a)cos(b)-sin(a)cos(b) However I am still getting the wrong answer
74. ### pre algebra

Use the five steps for problem solving to answer the following question. Please show all of your work. Marissa has budgeted \$65 for her monthly cell phone expense. If her plan with her wireless provider is \$15 plus \$0.25 for each minute, how many minutes can she talk on her ...
75. ### Pre-Algebra

Equation M: y = 3x + 4 Equation P: y = 3x + 7 Which of the following options is true about the solution to the given set of equations? No solution One solution Two solutions Ininite solutions I thought it was infinite solutions but i got the answer wrong.
76. ### Pre-Calc

Starkist tuna company will package tuna fish in 2-L cans. Find the radius and the height of the cans if the cans have a surface area which is less that 980 cm^2. I have no idea how to go about this, it seems like geometry to me. Can you give me some help? Please.
77. ### Calculus

Integrate 1/sinx dx using the identity sinx=2(sin(x/2)cos(x/2)). I rewrote the integral to 1/2 ∫ 1/(sin(x/2)cos(x/2))dx, but I don't know how to continue. Thanks for the help. Calculus - Steve, Tuesday, January 12, 2016 at 12:45am 1/2 ∫ 1/(sin(x/2)cos(x/2))dx let u...
78. ### pre calc

find all solutions on 0 is greater than or equal to theta < 2pi cos theta= 2sqrt3/3 4-1/2sin theta= (-16+sqrt3)/4 3(sqrt3)= -3cot theta -2=-1-2sin theta
79. ### pre. cal.

Find the least integral upper bound of the zeros of the function f(x) = x^3 - x^2 + 1? I got... The least upper bound of the zeros of f(x) is -0.7549
80. ### pre algebra

Each side of the triangle shown has the same length. If the perimeter of the triangle is 49 inches, the length of each side is 3 inches. true or false
81. ### pre-algebra

Use algebra tiles to find the difference. Let one white tile equal +1 and one black tile equal –1.
82. ### Pre-Algebra

To make a batch of cookies you need 3.25 cups of sugar, if you start off with 16.5 cups of sugar, how many batches of cookies can you make?
83. ### Pre-Algebra

A student is 5 ft tall and casts a shadow 10 ft long. A nearby tree casts a shadow 60 ft long. Find the height h of the tree.
84. ### Pre-Calc

Use the value of this trigonometric function to evaluate the indicated function. 1. cos(t) = 3/4 cos(-t) = ? Ans: 3/4 2. sin(-t) = 3/8 sin(t) = ? Ans: -(3/8)
85. ### Pre calc 11

Sum of first 12 terms of arithematic series is 186, 20th term is 186. Wat is sum of the first 40 terms
86. ### Pre-Calc

1. Calculate the period of sin(3x), cos(3x), and tan(3x). 2. Calculate the period of sin(x), tan(x), sin2(x) and tan2(x). Please explain, thank you :)
87. ### pre-algebra

a field 480,000 m^2 is 160 m wide. What length of fencing is needed to enclose it? i thought you would just have to do A=lw 480,000= l(160) l= 3000 but the answer is wrong. the correct answer is in the six thousands. please help
88. ### Pre-Algebra

Can someone help me with this one- Quadrilaterals are a special type of polygon because _______________. A. they always have exactly four sides B. the sum of their interior angles always measures 180° C. they always have opposite sides that are parallel D. they are always ...
89. ### Pre-Calc

The game commission introduces 100 deer into newly acquired state game lands. the population N of the herd is modeled by N=(20(5+3t))/1+0.04t t>/=0 where t is the time in years a. find the population when t=5, t=10, and t=25 b. what is the limiting size of the herd as time ...
90. ### constitution

In which era did the Court begin to expand the powers of the federal government? A. Marshall Court B. Taney Court C. Pre-New Deal D. Rehnquist Court is it A 2. Statutes passed by Congress are found in the: A. U.S. Code. B. Federal Register. C. U.S. Statutes. D. Book of laws. ...
91. ### Algebra/Pre-Calc

Find the values for a and b such that f(x) is continuous on the interval 0 < or = to x < or = to 13. { 2x^2, 0 < or = to x < or = to 3 f(x) = { ax + 3, 3 < or = to x < or = to 7 { b, 7 < or = to x < or = to 13 Can someone explain? Am I suppose to find ...
92. ### Game Theory

Under a mixed strategy, (A) a player moves sequentially. (B) player chooses among two or more pure strategies according to pre- specified probabilities. (C) the players may never reach a Nash equilibrium. (D) cheating is encouraged. (E) players are indifferent among their ...
93. ### Fundamentals of Storytelling

I'm conducting a pre-interview with someone about the NHL's new partnership with Rogers Communications in Canada. The questions have to be related to the focus of this story, and I need to use my 5 W's (Who, What, When, Where, and Why) and How. I don't have a clear focus, and ...
94. ### pre-cal

One campus of Houston community college has plans to construct a rectangular parking lot on land bordered on one side by a highway. there are 640 feet of fencing available to fence the sides. let x represent the length of each off the two parallel sides of fencing.
95. ### Pre-Cal

A drone 125 ft high sights a landing pad with an angle of depression of 15 degrees. what is the horizontal distance between the drone and the landing pad? I tried all the methods set it up multiple ways, and I'm at a loss. My teacher said the answer is 466.5ft.. but how? ...
96. ### Pre-Cal

[Note: This one... is super hard for me :( I really need help. please. I only have 2 hours left and I have no idea what I'm doing!! Suppose that cosx= -3/5 and x is in the third quadrant, and that siny= 2/9 and y is in the second quadrant. Find the exact values 1). sinx 2). ...
97. ### pre algebra

Jonathon is starting a new job where he will earn \$100 per week plus 15% commission on all sales. Write an equation and solve it to show what his sales were for a week if he earned \$380.00? Round your answer to the nearest integer. Thank you! I think you start with 10 +.15s = 380
98. ### pre-cal

A small ferris wheel: A student is riding a 20-m-diameter ferris wheel that is making three revolutions per minute. If there are eight equally spaced seats on the Ferris wheel, then what is the length of the arc between two adjacent seats?
99. ### Pre-Algebra

1. Which polynomial does the model represent? (One big black square, two white rectangles, one black rectangle, one white cube, and three black cubes.) This is all I need. @Mrs. Sue @Reed
100. ### Calculus

A calculus teacher's son likes to shoot arrows. He was wondering at what speed the arrow leaves the bow when it is released. So they went to a large deserted beach at the Great Salt Lake and shot the bow at an angle of 45 degrees. The arrow hit the ground at a distance of 600 ...