# Alice

Newest questions and responses by Alice-
## Calculus

The density of people (number of people per mile) during the evening rush hour for the 5-mile stretch along a certain sidewalk in New York is given by f(x), where x is the distance in miles north of the subway station. Which of the following gives the

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

A particle moves on the x-axis so that its position is continuous on the interval [3, 13] with some of its values for its velocity v(t) given in the table below. Use a right hand sum with 4 intervals to approximate the total distance the particle travelled

*asked on March 22, 2019* -
## Calculus

Find the value of A + B − C for which (x^2t+12x+12) / ( x(x-2)(x+2) )= A/x + B/(x-2)+ C/(x+2) a) 1 b) 3 c) 7 d) -7

*asked on March 22, 2019* -
## Calculus

Which of the following functions grows the fastest as x goes to infinity? a) f(x) √x b) f(x) √(x+1) c) f(x) √(10x+1) d) They all grow at the same rate as x goes to infinity

*asked on March 22, 2019* -
## Calculus

Which of the following choices will most easily evaluate the integral of [L(x)]/[P(x)] dx, where L(x) is a logarithmic function and P(x) is a polynomial? a) Integrate the polynomial function and differentiate the logarithmic function. b) Integrate the

*asked on March 22, 2019* -
## Calculus

For the logistic differential equation, dy/dt=2y(50-y), what is the limiting value for y? a) 100 b) 50 c) 25 d) 2

*asked on March 22, 2019* -
## Calculus

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(3x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1) Numerical answers expected! x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0

*asked on March 14, 2019* -
## Calculus

What does lim x-->∞ f(x)/g(x)=0 show? a) g(x) grows faster than f(x) as x goes to infinity b) f(g) and g(x) grow at the same rate as x goes to infinity c) f(x) grows faster than g(x) as x goes to infinity d) LHopital's Rule must be used to determine the

*asked on March 14, 2019* -
## Calculus

f(x) and g(x) are a differentiable function for all reals and h(x) = g[f(3x)]. The table below gives selected values for f(x), g(x), f '(x), and g '(x). Find the value of h '(1) Numerical answers expected! x 1 2 3 4 5 6 f(x) 0 3 2 1 2 0 g(x) 1 3 2 6 5 0

*asked on March 12, 2019* -
## Calculus

The function is continuous on the interval [10, 20] with some of its values given in the table above. Estimate the average value of the function with a Trapezoidal Sum Approximation, using the intervals between those given points. x 10;12;15;19;20 f(x)

*asked on March 12, 2019* -
## Calculus

Which of the following functions grows at the same rate as e^x as x goes to infinity? a) e^(x+3) b) e^(3x) c) e^(2x) d) e^(-x)

*asked on March 12, 2019* -
## Calculus

Newton’s law of cooling states that the rate of cooling of an object is proportional to the temperature difference between the object and its surroundings. So the rate of cooling for a bottle of lemonade at a room temperature of 75°F which is placed

*asked on March 6, 2019* -
## Calculus

For the function whose values are given in the table below, the integral from 0 to six of f(x)dx is approximated by a Reimann Sum using the value at the LEFT ENDPOINT value of each of three intervals with width 2. X 0 1 2 3 4 5 6 f(x) 0 0.25 0.48 0.68 0.84

*asked on March 4, 2019* -
## Calculus

The differential equation dy/dx=(x+1)/(x-2) I. produces a slope field with horizontal tangents at x = −1 II. produces a slope field with vertical tangents at x = 2 III.produces a slope field with rows of parallel segments a) I and II only b) II only c)

*asked on March 4, 2019* -
## Calculus

Choose the appropriate table for the differential equation dy/dx=x-y a) x -2, 0, 1 y -4, 1, 2 dy/dx 2,-1,-1

*asked on March 4, 2019* -
## Calculus

If dy/dx= sin^2(πy/4) and y=1 when x = 0, then find the value of x when y = 3. a) 0 b) 8/π c) -π/8 d) None of these

*asked on March 3, 2019* -
## Calculus

If dy/dx=(xy^2) and if y=1 when x=0, then when y=3, x is equal to a) 1/8 b) - π/8 c) 1 d) (2√3)/3

*asked on March 3, 2019* -
## Calculus

Find the particular solution to y"=3sin(x) given the general solution y=-3sin(x) +Ax+B and the initial conditions y (π/2)=π and y'(π/2)=2

*asked on March 3, 2019* -
## Calculus

Find the absolute value of the resulting error if the value of integral from 0 to 3 (x^3 dx) is estimated with 3 trapezoids of equal width. a) 2.25 b) 5.25 c) 15.75 d) 47.25

*asked on March 3, 2019* -
## Calculus

If dy/dx=cos^2(πy/4) and y=1 when x=0, then find the value of x when y=3 a) 1/8 b) -π/8 c) -8/π d) None of these

*asked on March 3, 2019* -
## Calculus

Function f(x) is positive, decreasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule approximations for the value of

*asked on February 28, 2019* -
## Calculus

Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of integral from 1 to 10 f(x)dx x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16 Numerical answers expected

*asked on February 28, 2019* -
## Calculus

The estimated value of the integral from 0 to 2 of x^2 dx , using the trapezoidal rule with 4 trapezoids is a) 2.75 b) 5.50 c) 1.88 d) 3.75

*asked on February 28, 2019* -
## Calculus

Function f(x) is positive, decreasing and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal intervals and these are used to compute the left sum, right sum, and trapezoidal rule approximations for the value of

*asked on February 28, 2019* -
## Calculus

Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of : integral from 1 to 10 f(x)dx x 1 3 4 6 7 9 10 f(x) 4 8 6 10 10 12 16 Numerical answers expected:

*asked on February 28, 2019* -
## Calculus

The temperature of a pan of hot water varies according to Newton's Law of Cooling: dT/dt= -k (T - A), where T is the water temperature, A is the room temperature, and k is a positive constant. If the water cools from 90°C to 85°C in 1 minute at a room

*asked on February 28, 2019* -
## Calculus

The differential equation dy/dx = x/y^2 Possible answers: I. will have a slope field with negative slopes in quadrant I II. will have a slope field with positive slopes in all quadrants III.will produce a slope field with columns of parallel tangents IV.

*asked on February 28, 2019* -
## Calculus

The particular solution of the differential equation dy/dt= 2y for which y(0) = 60 is a) y= 60e^2t b) y= 60e^0.5t c) y= 59 + e^t d) y= 30e^t

*asked on February 28, 2019* -
## Algebra

The Gulf Stream is a warm ocean current that extends from the eastern side of the Gulf of Mexico up through the Florida Straits and along the southeastern coast of the United States to Cape Hatteras, Nort Carolina. A boat travels with the current 110 mi

*asked on February 22, 2019* -
## Algebra

Jody invested $4800 less in an account paying 5% simple interest than she did in an account paying 2% simple interest. At the end of the first year, the total interest from both accounts was $551. Find the amount invested in each account

*asked on February 22, 2019* -
## Calculus

A ball is thrown upward with a speed of 40 feet per second from the edge of a cliff 500 feet above the ground. What is the speed of the ball when it hits the ground? Use acceleration due to gravity as –32 feet per second squared and approximate your

*asked on February 17, 2019* -
## 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*