# alice

Newest questions and responses by alice-
## Calculus

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

*asked on February 15, 2019* -
## 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.

*asked on February 15, 2019* -
## 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?

*asked on February 15, 2019* -
## 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

*asked on February 14, 2019* -
## 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

*asked on February 14, 2019* -
## 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:

*asked on February 13, 2019* -
## 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

*asked on February 13, 2019* -
## 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

*asked on February 13, 2019* -
## 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

*asked on February 6, 2019* -
## 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

*asked on February 1, 2019* -
## 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

*asked on February 1, 2019* -
## 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

*asked on February 1, 2019* -
## 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

*asked on January 30, 2019* -
## 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

*asked on January 27, 2019* -
## 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

*asked on January 27, 2019* -
## 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

*asked on January 27, 2019* -
## 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

*asked on January 27, 2019* -
## 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

*asked on January 26, 2019* -
## 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

*asked on January 26, 2019* -
## 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

*asked on January 26, 2019* -
## 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

*asked on January 25, 2019* -
## 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

*asked on January 25, 2019* -
## 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)

*asked on January 25, 2019* -
## 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

*asked on January 25, 2019* -
## 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.

*asked on January 24, 2019* -
## 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)

*asked on January 23, 2019* -
## 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

*asked on January 23, 2019* -
## Calculus

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

*asked on January 23, 2019* -
## 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:

*asked on January 18, 2019* -
## 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

*asked on January 18, 2019* -
## 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)

*asked on January 12, 2019* -
## 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

*asked on January 12, 2019* -
## 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

*asked on December 26, 2018* -
## 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.

*asked on December 26, 2018* -
## 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

*asked on December 20, 2018* -
## 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

*asked on December 20, 2018* -
## 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)

*asked on December 20, 2018* -
## 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

*asked on December 20, 2018* -
## Calculus

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

*asked on December 20, 2018* -
## 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

*asked on December 20, 2018* -
## Calculus

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

*asked on December 20, 2018* -
## 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

*asked on December 20, 2018* -
## 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.

*asked on December 19, 2018* -
## 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!

*asked on December 19, 2018* -
## 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

*asked on December 13, 2018* -
## 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

*asked on December 11, 2018* -
## 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

*asked on December 4, 2018* -
## 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

*asked on December 4, 2018* -
## 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

*asked on December 3, 2018* -
## 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

*asked on December 3, 2018* -
## 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

*asked on December 3, 2018* -
## 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?

*asked on November 3, 2018* -
## 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

*asked on October 25, 2018* -
## 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

*asked on October 16, 2018* -
## Chemistry

Describe how a mixture of acetanilide and sand can be separated

*asked on June 17, 2018* -
## Chemistry

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

*asked on June 17, 2018* -
## 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

*asked on June 17, 2018* -
## 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

*asked on June 15, 2018* -
## 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)

*asked on May 29, 2018* -
## math

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

*asked on May 9, 2018* -
## 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 *

*asked on April 28, 2018* -
## 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

*asked on March 17, 2018* -
## 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,

*asked on March 17, 2018* -
## 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?

*asked on March 9, 2018* -
## 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

*asked on March 6, 2018* -
## 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?

*asked on February 25, 2018* -
## A B C order

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

*asked on February 15, 2018* -
## 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?

*asked on February 11, 2018* -
## 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

*asked on January 24, 2018* -
## 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

*asked on November 28, 2017* -
## 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.

*asked on November 1, 2017* -
## Algebra

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

*asked on October 30, 2017* -
## 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.

*asked on October 13, 2017* -
## 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

*asked on October 10, 2017* -
## 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.

*asked on October 9, 2017* -
## 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?

*asked on October 9, 2017* -
## 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?

*asked on October 9, 2017* -
## Chemistry

Convert 9.45 μm to inches.

*asked on October 1, 2017* -
## 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.)

*asked on October 1, 2017* -
## 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.

*asked on October 1, 2017* -
## 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

*asked on October 1, 2017* -
## 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.

*asked on September 30, 2017* -
## 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

*asked on September 29, 2017* -
## 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

*asked on September 21, 2017* -
## 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

*asked on September 20, 2017* -
## 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

*asked on September 20, 2017* -
## 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

*asked on August 27, 2017* -
## 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

*asked on August 17, 2017* -
## 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?

*asked on July 27, 2017* -
## 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

*asked on July 5, 2017* -
## 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)

*asked on June 8, 2017* -
## 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

*asked on May 27, 2017* -
## Ms. Sue

how old are you Ms. Sue?

*asked on May 3, 2017* -
## Algebra Help please

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

*asked on May 1, 2017* -
## 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)

*asked on April 27, 2017* -
## Calculus Help Please

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

*asked on April 27, 2017* -
## Pre-Algebra

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

*asked on April 17, 2017* -
## 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

*asked on April 17, 2017* -
## Pre-Algebra

There are about 3x10^20 gallons of salt water on the earth, while there are about 6x10^18 gallons of fresh water. About how many times the amount of fresh water is the amount of salt water? A. 2 TIMES B. 50 TIMES C. 200 TIMES D. 500 TIMES

*asked on April 17, 2017* -
## Pre-Algebra

Martha is in a hot air balloon that has risen straight up from the launch point. Matthew is standing on the ground, 16 meters away from the launch point. If Martha and Matthew are 20 meters apart, how high has the balloon risen? A. 4 meters B. 12 meters C.

*asked on April 17, 2017*