# alice

Newest questions and responses by alice
1. ## Calculus

find F'(X) for F(X)=integral 1 to x √(t^3+1) dt

2. ## Calculus

The base of a solid is bounded by the curve y=√ x + 1, the x-axis and the line x = 1. The cross sections, taken perpendicular to the x-axis, are squares. Find the volume of the solid.

3. ## Calculus

If f(x) = |(x^2 − 4)(x^2 + 2)|, how many numbers in the interval [0, 1] satisfy the conclusion of the Mean Value Theorem?

4. ## Calculus

Determine if the Mean Value Theorem FOR INTEGRALS applies to the function f(x) = x3 − 4x on the interval [−1, 1]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. THANK YOU VERY MUCH

5. ## Calculus

The base of a solid in the xy-plane is the first-quadrant region bounded y = x and y = x^2. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid? May I have all the explanation

6. ## Calculus

The base of a solid in the xy-plane is the circle x^2 + y^2 = 16. Cross sections of the solid perpendicular to the y-axis are equilateral triangles. What is the volume, in cubic units, of the solid? answer 1: (4√3)/3 answer 2: (64√3)/3 answer 3:

7. ## Calculus

Find the area of the region bounded by the graphs of y = −x2 + 3x + 4 and y = 4. a) 2.7 b) 4.5 c) 28.5 d) 16.5

8. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x)=2-x^2 on the interval [0,√2). If so, find the x-coordinates of the point(s) guaranteed by the theorem a) No, the Mean Value Theorem for Integrals does not apply b) Yes, x=4/3

9. ## Calculus

Water leaks from a tank at the rate of r(t) gallons per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table below. The total amount of water that leaked out is evaluated by a Riemann sum. Find

10. ## Calculus

Given f '(x) = (x − 4)(4 − 2x), find the x-coordinate for the relative maximum on the graph of f(x). a) 12 m/sec; 22 m/sec^2 b) 22 m/sec; 18 m/sec^2 c) 22 m/sec; 6 m/sec^2 d) 14 m/sec; 3 m/sec^2

11. ## Calculus

The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what rate is the area of the triangle changing when the base is 10 ft and the height is 70 ft? a) -25 ft^2/sec b) -45 ft^2/sec c) -50

12. ## Calculus

Given the position function, s(t)= (-t^3/3)+(13t^2 /2)-30t, between t=0 and t = 9, where s is given in feet and t is measured in seconds, find the interval in seconds where the particle is moving to the right. a) 3 < t < 9 b) 5 < t < 9 c) the particle

13. ## Calculus

The base of a solid is the circle x^2 + y^2 = 9. Cross sections of the solid perpendicular to the x-axis are equilateral triangles. What is the volume, in cubic units, of the solid? 36√3 36 18√3 18

14. ## Calculus

Find the volume of the solid formed by rotating the region bounded by the graph of y equals 1+ √x, the y-axis, and the line y = 3 about the line y = 5. a) 13.333 b) 17.657 c) 41.888 d) None of these

15. ## Calculus

Find the area of the region bounded by the functions f(x) = x^4 and g(x) = |x|. a) 1.3 b) 5.2 c) 0.6 d) None of these

16. ## Calculus

Determine if the Mean Value Theorem for Integrals applies to the function f(x) = √x on the interval [0, 4]. If so, find the x-coordinates of the point(s) guaranteed to exist by the theorem. a) No, the theorem does not apply b) Yes, x=16/9 c) Yes, x=1/4

17. ## Calculus

The base of a solid is the circle x^2+y^2=9. Cross sections of the solid perpendicular to the x-axis are semi-circles. What is the volume, in cubics units, of the solid? a) 9 π/4 b) 18π c) 9π d) 72π

18. ## Calculus

Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = cos(t) − sin(t) and v(0) = 3. a) v(t) = sin(t) + cos(t) +3 b) v(t) = sin(t) + cos(t) +2 c) v(t) = sin(t) - cos(t) +3 d) v(t) = sin(t) - cos(t) +4

19. ## Calculus

Find the distance, in meters, a particle travels in its first 10 seconds of travel, if it moves according to the velocity equation v(t)= 49 − 9.8t (in meters/sec) a) -49 b)0 c) 245 d) 441

20. ## History

Which best describes how the Scientific Revolution impacted people’s views about politics and government? (Select all that apply.) Government became understood as a natural process that could be changed and improved upon. Citizens believed that they

21. ## Calculus

Find the area of the region bounded by the graphs of y = x2 − 4x and y = x − 4. a) - 4.500 b) 4.500 c) 2.333 d) None of these

22. ## Calculus

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π a) ∫ from π to 0 sin(x)dx b) ∫ from π to 0 -sin(x)dx c) 2∫ from π to 0 sin(x)dx d) 1/2∫ from π

23. ## Calculus

The base of a solid in the first quadrant of the xy plane is a right triangle bounded by the coordinate axes and the line x+y =4. Cross sections of the solid perpendicular to the base are squares. What is the volume, in cubic units , of the solid? A) 8 B)

24. ## Calculus

Find the velocity, v(t), for an object moving along the x-axis in the acceleration, a(t), is a(t)=cos(t)-sin(t) and v(0)=3 a) v(t)=sin(t) + cos(t) +3 b) v(t)=sin(t) + cos(t) +2 c) v(t)= sin(t) - cos(t) +3 d) v(t)= sin(t) - cos(t) +4

25. ## Calculus

Estimate the area under the curve f(x)=16-x^2 from x=0 to x=3 by using three inscribed (under the curve) rectangles. Answer to the nearest integer.

26. ## Calculus

Find the value of "f" on the top "9" and in the botton "1" x^2dx using four rectangles of equal width, with each left end-point used to find the height of each rectangle. a) 2(1+9+25+49) b) 2(9+25+49+81) c) 0.5(1+9+25+49) d) 0.5(9+25+49+81)

27. ## Calculus

Use two rectangles of equal width to estimate the area between the graph of f(x)=x+sin( πx) and the x-axis on the interval [4,8]. Evaluate the function at the mid-point of each rectangle to find each height. a) 20 b) 24 c) 26 d) 28 Thanks in advance

28. ## Calculus

Express the um using sigma notation: 1 +3/4 +5/9+ 7/16+ 9/25

29. ## Math

Ty received test grades of 73%,82%,73%,77%, and 77%. a) what grade would he need to make on the sixth test to get a "C" if a "C" is at least 75% but less than 80%? b) Is it possible for Ty to get a B or better for his test average (at least 80%)? ANSWERS:

30. ## Math

four times the sum of three consecutives odd integers is the same as 221 more than 5 times the largest integer. Find the integers

31. ## Calculus

Find the value of f on the top "9" on the bottom "1" x^2dx using four rectangles of equal width, with each left end-point used to find the height of each rectangle. a) 2(1+9+25+49) b) 2(9+25+49+81) c) 0.5(1+9+25+49) d) 0.5(9+25+49+81)

32. ## Calculus

Use two rectangles of equal width to estimate the area between the graph of f(x) = x - cos(πx) and the x-axis on the interval [1, 5]. Evaluate the function at the mid-point of each rectangle to find each height. a) 8 b) 12 c) 16 d) 20 thank you in

33. ## Calculus

The position equation for a particle is s(t)=√t^3+1 where "s" is measured in feet and "t" is measured in seconds. Find the acceleration of the particle at 2 seconds A) 1ft/sec^2 B) 2/3 ft/sec^2 C) - 1/108 ft/sec^2 D) None of these

34. ## math

On Saturday, the fruit and juice bar was selling 25 glasses of fruit punch an hour. By 3 p.m., they had sold 125 glasses. If their goal was to sell more than 300 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.

35. ## Calculus

Use a graphing calculator to graph f(x)=(2x^2-8)/(x^2-6) and then select the response which is true a) f increases without bound b) f has no tangent line c) f has a horizontal tangent line d) none of these responses

36. ## Calculus

If f(x) is a continuous function defined for all real numbers, f(-1)=1, f(-5)=-10, and f(x)=0 for one and only one value of x, then which of the following could be that x value? a) -6 b) -5 c) -4 d) 0

37. ## Calculus

the local linear approximation of a function f will always be greater than or equal to the function's value if, for all x in an interval containing the point of tangency, f'(x)

38. ## Calculus

Which of the following is the best linear approximation for f(x)=cos(x) near x= π/2 ? a) y= x - π/2 b) y= -x + π/2 c) y= -x + π/2 + 1 d) y= x - π/2 +1

39. ## Calculus

If f is continuous at x=c, then f is differentiable at x=c True False

40. ## Calculus

Which of the following is the best linear approximation for f(x)=cos(x) near x= π/2 ? a) y= x - π/2 b) y= -x + π/2 c) y= -x + π/2 + 1 d) y= x - π/2 +1

41. ## Calculus

If f is continuous at x=c, then f is differentiable at x=c True False

42. ## Calculus

If f(-1)=-3 and f'(x)=(4x^2)/(x^3+3), which of the following is the best approximation for f(-1.1) using local linearization? a) -7.2 b) 2.8 c) -1.2 d) -3.2

43. ## Calculus

A particle moves along the x-axis so that at time t its position is given by s(t)=(t+3)(t-1)^3,t>0. For what values of t is the velocity of the particle decreasing? a) 00 d) The velocity is never decreasing. Thanks in advance.

44. ## Calculus

If the space below, provide the smaller of the two positive integers that add 30 and have the largest possible product. Numerical Answers Expected!

45. ## Physics

A person of weight 820 N stands on one leg. The area of the foot in contact with the floor is 1.4 X 10^-2 m^2 a. Calculate the pressure exerted by the foot on the ground. b. Explain what would happen to the pressure exerted on the floor if the person

46. ## Science

At which position does the diver have the most gravitational potential energy? A.) 1 ( in diving board about to jump off, in a squatting position with hands above head) B.) 2 (In air, just after jumping off. Hands above head) C.) 3 ( About to head into the

47. ## Calculus

Select the best answer below: lim x→∞ [ln(|x|-1)] / (cos(x))^x a) does not exist b) 1 c) -1 d) 0 Thank you very much for your helppppp in advance

48. ## Calculus

Evaluate lim x→1 f(x) for f(x)= 5x-10,x1 Possible answers: a) 3 b) -5 c) 1 d) does not exist

49. ## Calculus

Which of the following must be true for the graph of the function f(x)= (x^2-25)/5x-25) There is: I. a removable discontinuity at x=5 II. a vertical asymptote at x=5 III. an infinite discontinuity at x=5 possibles answers: a) I only b) II only c) III only

50. ## Calculus

If lim x→0 f(x)=3 and lim x→0 g(x)=1, then find lim x→0 (f(x)+g(x))^2 a) 40 b) -4 c) 16 d) 28

51. ## Calculus

which of the following are continuous for all real values of x? I. f(x)= (x^2+5)/x^2+1 II. g(x)= 3/x^2 III. h(x)=|x| a) I only b) II only c) I and II only d) I and III only

52. ## math

The sum of Lisa's age and Myra's age is 19. In 10 years, Lisa will be 5 years older than Myra. How old is each girl now?

53. ## Physics

a stone is release from a catapult with a speed of 50m/s attain a height of 100m/s .Calculate the time of flight

54. ## Social Studies

“Do not put such unlimited power into the hands of the husbands. Remember, all men would be tyrants if they could. If particular care and attention is not paid to the ladies, we are determined to foment a rebellion, and will not hold ourselves bound by

55. ## Chemistry

Describe how a mixture of acetanilide and sand can be separated

56. ## Chemistry

In recrystalization of acetanilide if your percentage yield is greater than 100% how would this occur?

57. ## Chemistry

During recrystalization of acetanilide, an orange solution of a compound in hot alcohol was treated in activated carbon and then filtered through a filter paper. On cooling the filtrate gave gray crystals, although the compound was reported to be

58. ## Maths

Of 20 girls 16 plays hockey,12 plays tennis and 4playsbusket every girl plays at least one game and 2plays all the three games how many plays 2and only 2games

59. ## Algebra

Find the solutions to the system. y=x^2+5x+6 y=4x+12 A. (2,20) and (-3,0) B. (2,20) and (-3,-18) C. (-2,-20) and (-3,-18) D. no solutions Find the solutions to the system. y=x^2-3x-1 y=8x-1 A. (0,-1) and (11,388) B. (0,-1) and (11,87) C. (-1,0) and (87,11)

60. ## math

A car travels 56km using 8litres of petrol. What distance will it travels with 13litres of petrol.

61. ## Math/Calculus

The region R is bounded by the x-axis, x = 2, and y = x^2. What expression represents the volume of the solid formed by revolving R around the line x = 2? It seems that I'm not allowed to post images, so I will try to type out my answer: ∫[0, 4] π *

62. ## Algebra

this isn't the same question as my last post!! it's the second out of three. Hello! I'm looking over one of my tests and trying to see how to do things I got wrong, but I'm having trouble with three of the questions. Here's one of them: Find the simplified

63. ## Algebra

Hello! I'm looking over one of my tests and trying to see how to do things I got wrong, but I'm having trouble with three of the questions. Here's one of them: A \$1,600.00 principle earns 7% interest, compounded semiannually twice per year. After 33 years,

64. ## math

Melissa has 1/2 as much money as Paul. Tom has 3/5 as much money as Melissa. If Paul has \$42 more than Tom, how much do the three children have altogether?

65. ## Chemistry

When one mole of CH3OH (l) forms from its elements at 1 atm and 25 degrees C, 238.6 kJ of heat are released, and 35.2 kJ are released when one mole of the gas condenses. How much heat is released when one mole of CH3OH (g) forms from its elements at these

66. ## government

i need to write a research paper on healthcare. Ive been looking for two (at most two week old) reliable sources that really grasps the current status of the issue. any help?

67. ## A B C order

Does "brother's" come before "brothers' " in A B C order?

68. ## chemistry

If delta G (Gibbs) is positive and you are trying to find at what temperature the reaction is spontaneous would the formula be: T< H/S ? G=H-TS H-TS>0 T< H/S then the temperature found would be the temp at which the reaction is spontaneous?

69. ## Science

Hi, I need help with 2 questions!  Which type of underground magma formation is usually dome shaped? dike laccolith sill batholith Laccolith is my answer. Scientists want to protect a beach from erosion. What can they do? I don't know this one. I am not

70. ## Chemistry

PART A) Suppose that 6.9 mL of 2.5 M KOH(aq) is transferred to a 250 mL volumetric flask and diluted to the mark. It was found that 32.8 mL of this diluted solution was needed to reach the stoichiometric point in a titration of 6.9 mL of a phosphoric acid

71. ## Physics

A projectile is propelled along the x-axis. During 5.2 s it moves from position 64 m to position −40 m. Find its average velocity.

72. ## Algebra

Find all complex solutions (real and non-real) x^4+2x³+22x²+50x-75=0

73. ## physics

A motor car of mass 30kg,moving with a velocity of 10m/s. by the application of brakes,it was brought to rest at a distance of 25meters. Find the average force.

74. ## Calculus

Suppose the height of an object fired straight up from the level ground is given by s(t)=300t-4.9t where s is measured in meters and t is measured in seconds. how fast is the object moving up as it leaves the ground after 2 seconds? find the average

75. ## Math

if you play soccer in a street 9 meters wide and you put the goals 12 meters apart what is the lenght of a soccer pitch if the street is a 1:10 scale of a normal soccer pitch.

76. ## Math

If a boat in a bottle is an exact replica and has a sail height of 2 inch,while the real version of the boat has a sail height of 48 ft.What is the scale of the replica to the real boat?

77. ## Math-Ratio and Proportion

The scale of a die cast model car is 4:13.If the real car has a length of 177 inches and a height of 59 inches.How tall is the die cast model?

78. ## Chemistry

Convert 9.45 μm to inches.

79. ## Chemistry

The men\'s world record for swimming 1500.0 m in a long course pool (as of 2007) is 14 min 34.56 s. At this rate, how many seconds would it take to swim 0.450 miles? (1 mi = 1609 m.)

80. ## Chemistry

The speed of light in a vacuum is 2.998 × 10^8 m/s. What is its speed in miles per minute (mi/min)? Please explain the steps you used.

81. ## Chemistry

If your front lawn is 25.0 feet wide and 20.0 feet long, and each square foot of lawn accumulates 1150 new snow flakes every minute, how much snow (in kilograms) accumulates on your lawn per hour? Assume an average snow flake has a mass of 1.90 mg. Please

82. ## Algebra

For the Function f(x)=2x²−2x+6, simplify problems A) & B) A) f(x+h) B) (f(x+h)−f(x))/h Please explain the steps you used.

83. ## Algebra

Find the average rate of change of f(x)=6x²−3 on the interval [2,a]. Your answer will be an expression involving a What I did so far: I found f(2) which is 21 and that would make the function (2,21) Then, I found f(a) which is 6a^2-3 and that would make

84. ## Psychology

Would this be a better example of spotlight theory of attention or attenuation theory? I was focusing on asking someone an important question. When I asked the question, I failed to noticed that a dog was barking. I later realized the dog was barking. I

85. ## Psychology

Would this be an example of top-down processing? I am at home, and I have left a room where a family member is sitting. I come back to this room awhile later and start having a conversation because I expect the family member to still be there because I did

86. ## Psych

Is this an example of top-down processing? I heard a noise that sounded like a door opening and assumed my parent was home. I made this assumption based on the fact that it was the time of day that they would usually come home and that they sent me a text

87. ## Multiplevariable calculus

Hello, I have to find the volume of the region enclosed by the paraboloid z=(x^2)+(y^2) and the planes z=1 and z=3 , so well i am struggling about the limits of each integral. I know that I can use cylindrical coordinates, but what about the limits in z? I

88. ## social studies is this correct?

how was the roman republic's goverment set up? people elected representatives to make decisions for them. the emperor chose leaders to run the government for him people voted directly on laws and issues****** voters chose the emperor from former government

89. ## History

How have the lives of African Americans changed over the last 150 years and how has that transition mirrored broader shifts in American society?

90. ## Math

Frank bought supplies for school. In the first store, he spent half of his money plus \$10. In the second store, he spent half of what he had left, plus \$10. In the third store, he spent 80% of what he had left. He came home with \$5. How much did he start

91. ## Physics

Hello, I am wondering if someone can answer me this question: In an Atwood machine why do the tensions that handle both bodies are the same? (English is not my native language)

92. ## Math

A lemonade machine with a cash price of \$4000.00 is purchased on an installment plan with a\$460.00 down payment and 13 monthly payments of 272.31. What is the amount financed

93. ## Ms. Sue

how old are you Ms. Sue?

Tom, Dick, and Harry are three brothers and have \$107.60 together. Tom feels sorry for hairy because he has less money than Tom. So Tom gives harry \$2.10 so they both will have the same amount after the transfer. Dick doesn't know about Tom's gift and he

95. ## Math

A jar contains 5 blue marble, 8 red marbles, 4 white marbles,and purple marbles. Suppose you pick a marble at random without looking. Find the probability of each event. Choosing a blue marble, putting it back, then choosing a purple? (Simplest form)

Hello! I am struggling with this problem: Find the Taylor Series for sin(x-2) centered at c=3. My work so far: sin(1)+(x-3)cos(1)-(1/2)(x-3)^2sin(1)-(1/6)(x-3)^3cos(1)+(1/24)(x-3)^4sin(1)... I know that the Taylor series for sign is typically: the

97. ## Pre-Algebra

Which equation models the linear relationship in the table below? x y -4 10 1 -5 6 -20

98. ## Pre-Algebra

Given a cylinder and a cone with the same base and the same height Cylinder: r=4 ft and h=3 ft Cone: r=4 ft and h=3 ft What is the volume of the cone in cubic feet? A. 12 π B. 16 π C. 36 π D. 48 π