1. Statistics

    A certain curve (that is NOT the normal curve) is shown below. The curve is symmetric around 0, and the total area under the curve is 100%. The area between -1 and 1 is 58%. What is the area to the right of 1? I do not know how to do this because it is not
  2. calculus

    suppose that the area under the curve y=1/x from x=a to x=b is k. the area in terms of k, under the curve y=1/x from x=2a to x=2b? justify
  3. AP Statistics

    A certain density curve looks like an interverted letter V. The first segment goes fro the point (0,0.6) to the point (0.5,1.4). The segment goes from (0.5.1.44) to (1,0.6). (a) Sketch the curve. Verify that the area under the curve is 1, so that it is a
  4. Calculus

    Find the area cut off by x+y=3 from xy=2. I have proceeded as under: y=x/2. Substituting this value we get x+x/2=3 Or x+x/2-3=0 Or x^2-3x+2=0 Or (x-1)(x-2)=0, hence x=1 and x=2 are the points of intersection of the curve xy=2 and the line x+y=3. Area under
  5. Calculus ll - Improper Integrals

    Find the area of the curve y = 1/(x^3) from x = 1 to x = t and evaluate it for t = 10, 100, and 1000. Then find the the total area under this curve for x ≥ 1. I'm not sure how to do the last part of question ("find the the total area under this curve
  6. calculus

    Notice that the curve given by the parametric equations x=25−t^2 y=t^3−16t is symmetric about the x-axis. (If t gives us the point (x,y),then −t will give (x,−y)). At which x value is the tangent to this curve horizontal? x = ? At which t value is
  7. Maths

    A quadrilateral is called cyclic if its corners lie on the circumference of a circle. An example is shown below left: the circle has radius 5 The area A of the quadrilateral for different x values is plotted on the right. It can be calculated that this
  8. calculus

    Compute the area of the region in the fi…rst quadrant bounded on the left by the curve y = sqrt(x), on the right by the curve y = 6 - x, and below by the curve y = 1.
  9. Calculus

    Integrals: When we solve for area under a curve, we must consider when the curve is under the axis. We would have to split the integral using the zeros that intersect with the axis. Would this be for all integrals? What if we just want to "find the
  10. Math: Need Answer to study for a quizz. Help ASAP

    Estimate the area under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under the curve on [1,3]
  11. Calculus AB: Area Between Curves

    Hello! I'm having trouble understanding how I'm supposed to work out this problem. Any help would be appreciated! Find the area of the region bounded by the curve y = f(x) = x3 – 4x + 1 and the tangent line to the curve y = f(x) at (–1,4).
  12. calculus(Lab)

    Well, first graph the graph of f(x)=-1/10x^2 + 3 2. We are going to approximate the area between f and the x-axis from x = 0 to x = 4 using rectangles (the method of Riemann sums). This is not the entire area in the first quadrant, just most of it. Draw
  13. Statistics

    Find the area under the normal curve in each of the following cases. 1. Between z = 0 and z = 1.63 2. Between z = 1.56 and = 2.51 3. Between z = -0.76 and z =1.35 4. Between z= -0.26 and z = -1.76 5. To the left of z = 2.35 6 To the right of z = -1.31 7.
  14. Math help

    We have no ideal on how to start this problem, we have look for it on the charts, did not see. Please help Consider the following. (Give your answers correct to two decimal places.) (a) Find the standard score (z) such that the area above the mean and
  15. Math help

    We have no ideal on how to start this problem, we have look for it on the charts, did not see. Please help Consider the following. (Give your answers correct to two decimal places.) (a) Find the standard score (z) such that the area above the mean and
  16. calculus -- PLEASE HELP!

    1. There is a wall that does not need fencing [at x=0]. The curve that also does not need fencing is y=x^2/9. The fence is four units long and extends from the y axis horizontally some distance and then drops down to the curve. Find the lengths of the
  17. ap calc

    Each of the following parts relates to finding the area underneath the curve , from x = 1 to x = 3. D. Set up, but do not solve, the Riemann Sum which expresses the exact area underneath the curve.
  18. AP Statistics

    Hi, we just started density curves in AP Stats, and I am a little confused about one of the concepts. It keeps saying that a density curve has to have an area equal to 1 below it... 1 of what? I don't understand how you figure out if the area of your curve
  19. Math

    Estimate the are under the curve f(x)=x^2-4x+5 on [1,3]. Darw the graph and the midpoint rectangles using 8 partitions. Show how to calculate the estimated area by finding the sum of areas of the rectangles. Find the actual area under the curve on [1,3]
  20. Python programming

    A standard problem in mathematics is to measure the area under a curve (or to integrate the function defining the curve). A simple way to do this is to approximate the area with a series of rectangles (whose areas are easy to compute). For example, we
  21. Economics

    The demand curve for a monopoly is: 1. the MR curve above the AVC curve. 2.above the MR curve. 3.the MR curve above the horizontal axis. 4. the entire MR curve.
  22. Statistics help

    Consider the following. (Give your answers correct to two decimal places.) (a) Find the standard score (z) such that the area above the mean and below z under the normal curve is 0.3989. (b) Find the standard score (z) such that the area above the mean and
  23. Math help

    Can someone give me a heads up on how to even start this problem.. Consider the following. (Give your answers correct to two decimal places.) (a) Find the standard score (z) such that the area above the mean and below z under the normal curve is 0.3989.
  24. calculus

    The line y+x=9 intersects the curve y=x^2-2x+3 at the points P and Q . (a) Find the coordinates of P and Q . (b) Sketch the line and the curve on the same set of axes. (c) Calculate the area enclosed by the line and the curve.
  25. economics

    Can you please exlain to me if I'm wrong not just correct me. ps. Ceteris paribusor the following markets, show whether change causes a shift in supply curve, a shift in demand curve, a movement along the supply curve, and/or a movement along the demand
  26. mechanics

    Sketch a stress-strain curve for which the stress is calculated using the actual cross-sectional area rather than the original cross-sectional area. Explain why this curve differtypical stress-strain curve
  27. CALC - area under a curve

    You have an unknown function that is monotone increasing for 1<x<5 and have the following information about the function values. With the clear understanding that there is no way to get an exact integral, how would you try and approximate the area
  28. Calculus

    prove that out of the rectangles under the curve = e raised to the power of -xsquared on the x axis and upper vertices on the curve, the one has the largest area the two upper vertices of which are exactly at the points of inflection of the curve.
  29. Calc

    R is the region below the curve y=x and above the z-axis from x=0 to x=b, where b is a positive constant. S is the region below the curve y=cos(x) and above the x-axis from x=0 to x=b. For what value of b is the area of R equal to the area of S? I know the
  30. math

    Find the z-score such that the area under the standard normal curve to the left is 0.82. ______ is the z-score such that the area under the curve to the left is 0.82. (round 2 decimal places as need)
  31. calculus, volume , application of integration

    show steps for the following: Consider the curve f(x)=x^4 between x = -1 and x = 4. a)What is the volume obtained by revolving the area under the curve around the x-axis? b)What is the volume obtained by revolving the area under the curve (i.e. between
  32. Chemistry

    My question is 'what does the area under the curve represent?' it's a Maxwell-Boltzmann curve. My first idea was the number of particles but that's just what the y axis says and surely that wouldn't just mean under the curve. My second idea was to write
  33. Stat

    Remeber that it is areas under a density curve, not the height of the curve, that give proportions in a distribuiton. To illustrate this, sketch a density curve that has its peak at 0 on the horizontal axis but ahs greater area within .25 on either side of
  34. math

    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.
  35. calculus

    Estimate the area under the curve f(x) = x2 from x = 1 to x = 5 by using four inscribed (under the curve) rectangles. Answer to the nearest integer.
  36. Calculus

    Estimate the area under the curve f(x) = x2 + 1 from x = 0 to x = 6 by using three circumscribed (over the curve) rectangles. Answer to the nearest integer.
  37. math

    The region R, is bounded by the graphs of x = 5/3 y and the curve C given by x = (1+y^2)^(1/2), and the x-axis. a) Set up and evaluate an integral expression with respect to y that gives the area of R. b) Curve C is part of the curve x^2 - y^2 = 1, Show
  38. math

    The region R, is bounded by the graphs of x = 5/3 y and the curve C given by x = (1+y^2)^(1/2), and the x-axis. a) Set up and evaluate an integral expression with respect to y that gives the area of R. b) Curve C is part of the curve x^2 - y^2 = 1, Show
  39. Maths 2U

    how do you find the horizontal and vertical assymptotes of the curve y= x/ x+3 and also the intercepts. so that you can approximate the area under the curve from x=1 to x=5 using 5 function values? THANKYOU,
  40. statistics

    what is the percentage of the area under the curve is above the mean of the normal curve
  41. Calculus

    Suppose the area under the curve y=xe^(-mx) from 0 to 1 is 0.4. Find m.
  42. math-plz help

    Consider the curve f(x)=x^4 between x = -1 and x = 4. a)What is the volume obtained by revolving the area under the curve around the x-axis? b)What is the volume obtained by revolving the area under the curve (i.e. between f(x) and the x-axis) around the
  43. MATH-HELP!

    The region R, is bounded by the graphs of x = 5/3 y and the curve C given by x = (1+y^2)^(1/2), and the x-axis. a) Set up and evaluate an integral expression with respect to y that gives the area of R. b) Curve C is part of the curve x^2 - y^2 = 1, Show
  44. why won't anybody help me

    The region R, is bounded by the graphs of x = 5/3 y and the curve C given by x = (1+y^2)^(1/2), and the x-axis. a) Set up and evaluate an integral expression with respect to y that gives the area of R. b) Curve C is part of the curve x^2 - y^2 = 1, Show
  45. Precalculus

    The graph of 4/(2-cos(theta)) forms a closed curve. The area of the region inside the curve can be expressed in the form k \pi. What is k^2? So I tried this problem and I got it to be an ellipse 1 = (((x + 8/6)^2)/((16/3)^2)) + ((y^2)/4)) Is this correct?
  46. Calculus

    3) Consider rectangles located as shown in the first quadrant and inscribed under a decreasing curve, with the lower left hand corner at the origin and the upper right hand corner on the curve y = sqrt(9 - x2) Find the width, height and area of the largest
  47. maths sir steve help me reiny

    A curve has parametric equations x = at² , y = 2at. Find the area bounded by the curve, the x- axis, and the ordinates at t = 1 and t = 2 step plz
  48. Math

    The line has equation y=2x+c and a curve has equation y=8-2x-x^2. 1) for the case where the line is a tangent to the curve, find the value of the constant c. 2) For the case where c = 11, find the x-coordinates of the points of intersection of the line and
  49. math

    suppose a normal distrubtion has a mean of 25 and a standard deviation of 2. what is the area under the curve between 23 and 27
  50. Calculus

    Express the area of the region in the xy-plane enclosed by the curve ((x^(2))/(9))+((y^(2))/(4))=1 in terms of an integral.
  51. Business Statistics

    In each case, sketch the two specified normal curves on the same set of axes: a A normal curve with m 20 and s 3, and a normal curve with m 20 and s 6. b A normal curve with m 20 and s 3, and a normal curve with m 30 and s 3. c A normal curve with m
  52. Maths

    Point P in the curve y=x^3 has coordinates (3,27) and PQ is the tangent to the curve at P.Point Q touches the x-axis.Find the area of the region enclosed between the curve, PQ and the x-axis. My answer: I used differenttiation to find the gradient of the
  53. Physics

    The curve y = 11x - 24 - x^2 cuts the x-axis at points A and B, and PN is the greatest positive value of the y coordinate. Show that 2 PN • AB equals three times the area bounded by that portion of the curve which lies in the first quadrant. Kinda
  54. Calculus

    The curve y = 11x - 24 - x^2 cuts the x-axis at points A and B, and PN is the greatest positive value of the y coordinate. Show that 2 PN • AB equals three times the area bounded by that portion of the curve which lies in the first quadrant. Kinda
  55. PHYSICS

    When the force F acting on a particle depends only on the particle's position coordinate x, and when the particle moves along the x-axis, then the work done by the force is the area under: a) F versus x curve b) F versus v curve (v is velocity) c) F versus
  56. 12th Grade Calculus

    1. a.) Find an equation for the line perpendicular to the tangent curve y=x^3 - 9x + 5 at the point (3,5) [* for a. the answer that I obtained was y-5 = -1/18 (x-3) ] b.) What is the smallest slope on the curve? At what point on the curve does the curve
  57. Calculus, Physics

    The curve y = 11x - 24 - x^2 cuts the x-axis at points A and B, and PN is the greatest positive value of the y coordinate. Show that 2 PN • AB equals three times the area bounded by that portion of the curve which lies in the first quadrant. Kinda
  58. calc

    Find the maximum possible area of a rectangle in quadrant 1 under the curve y=(x-4)^2 (with one corner at the origin and one corner on the curve y=(x-4)^2)
  59. calculus -- PLEASE HELP!

    Suppose you are trying to evaluate the intergral 2x^3dx and you make the substitution u=x^2. The substitution takes one area and converts it to a different one-in this case a trapezoid with vertical sides. Denote by R the region under the first curve from
  60. college

    For a normal curve with mean 5 and standard deviation 6, which of the following parts of the normal curve will have an area of approximately 68%
  61. calculus

    Find the area of the region that lies inside the first curve and outside the second curve. r = 1 + cos(θ), r = 2 − cos(θ)
  62. Economics

    3. Suppose the Clean Springs Water Company has a monopoly on bottled water sales in California. If the price of tap water increases, what is the change in Clean Springs' profit-maximizing level of output, price, and profit? Explain in words and with a
  63. calculus

    Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = x^3 and y = x.? I know how to use the midpoint rule to get the area under a curve but I'm confused on how to get the area between the two curves. Do I subtract them
  64. MATH!!

    How do I find vertices of a curve and a hyperbola? This may help: http://www.mathwords.com/v/vertices_of_a_hyperbola.htm The vertex is where the tangent to the curve chages direction most rapidly. When the curve is symmetric about vertical or horizontal
  65. Math

    Consider the curve represented by the parametric equations x(t)= 2+sin(t) and y(t)=1-cos(t) when answering the following questions. A) Find Dy/Dx in terms of t B) Find all values of t where the curve has a horizontal tangent. C) Find all values of t where
  66. Math

    Consider the curve represented by the parametric equations x(t)= 2+sin(t) and y(t)=1-cos(t) when answering the following questions. A) Find Dy/Dx in terms of t B) Find all values of t where the curve has a horizontal tangent. C) Find all values of t where
  67. statistics

    What is the value of the z-scores if the area of the curve to this point is 0.887? How much of this are is between the peak of the curve and this point?
  68. Math (Calculus)

    Consider the curve represented by the parametric equations x(t)= 2+sin(t) and y(t)=1-cos(t) when answering the following questions. A) Find Dy/Dx in terms of t I got tan(t) B) Find all values of t where the curve has a horizontal tangent. I got (+-)(pi)(n)
  69. Statistics

    Accidents on a bike path. Examining the location of accidents on a level, 5-mile bike path shows that they occur uniformly along the length of the path. Figure 3.4 displays the density curve that describes the distribution of accidents. (a) Explain why
  70. economics

    Producer surplus is shown graphically as the area: under the demand curve and above the market price. under the demand curve and below the market price. above the supply curve and below the market price. above the supply curve and below the market price.
  71. math

    Consider the normal curve. (Give your answers correct to four decimal places.) (a) Find the area to the right of z = 0.00. (b) Find the area to the right of z = 1.1. (c) Find the area to the right of z = -1.86. (d) Find the area to the left of z = 1.48.
  72. Math

    Find area of the region under the curve y=9−2x2 and above the x-axis. area=?
  73. Calc

    Find the value of m such that y=mx divides the area under the curve y=(1-x)x in [0,1] into two regions of equal area D: D: D:
  74. Calculus I

    Section Area: Use Riemann sums and a limit to compute the exact area under the curve. y = 4x^2 - x on (a) [-0,1]; (b) [-1, 1]; (c) [1, 3]
  75. calculus

    Find area of the region under the curve y = 5 x^3 - 9 and above the x-axis, for 3¡Ü x ¡Ü 6. area = ??
  76. Calculus

    Consider the curve defined by y + cosy = x +1 for 0 =< y =< 2pi.... a. Find dy/dx in terms of y. *I got 1/(y-siny) but I feel like that's wrong. b. Write an equation for each vertical tangent to the curve. c. find d^2y/dx^2 in terms of y. d. Sketch a
  77. Microeconomics

    Larry, Moe, and Jo run the only saloon in town. Larry wants to sell as many drinks as possible without losing money. Jo wants the saloon to bring in as much revenue as possible. Moe wamts to make the largest possible profits. Using a single diagram of the
  78. math

    Consider the area between the curve y=x^2 and the x-axis over the interval 0<=x<=1. Assume n is a whole number. use Fermat's method of integration to show that this area will equal 1/(n+1). thank you
  79. Calculus

    The graph of the curve y2=10 x+10 is a parabola, symmetric with respect to the x-axis. Find the area of the surface generated by rotating about the x-axis the part of this curve corresponding to 0 ≤ x ≤ 20.
  80. physics

    highway curve in northern Minnesota has a radius of 230 m. The curve is banked so that a car traveling at 21 m/s and will not skid sideways, even if the curve is coated with a frictionless glaze of ice. At what angle to the horizontal is the curve banked?
  81. Parametric curves and area

    1.The curve of x=49-t^2 and y=t^3-1*t makes a loop which lies along the x-axis. What is the total area inside the loop? 2.Find the area of the region enclosed by the parametric equation: x=t^3-7*t and y=4*t^2.
  82. math

    Show that if a rectangle has its base on the x-axis and two of its vertices on the curve y = e^-x^2 , then the rectangle will have the largest possible area when the two vertices are at the points of inflection of the curve.
  83. Another graph

    How do I make a graph of f'(-1) = f'(1) = 0, f'(x) > 0 on (-1,1), f'(x) < 0 for x < -1, f'(x) > 0 for x >1 Thanks. if the derivative is postive on -1 to 1, you have a curve that shope upward as x increases. If the derivative is zero at -1,
  84. calculus

    use reimann sums and a limit to compute the exact area under the curve of y=2x^2+1 on the interval[1,3]... i am having trouble getting the right answer which is suppose to be 58/3. I would just like to see the set up of the sum so check if am doing it
  85. math

    A curve has implicit equation x^2-2xy+4y^2=12 a)find the expression for dy/dx in terms of y and x. hence determine the coordinates of the point where the tangents to the curve are parallel to the x-axis. b)Find the equation of the normal to the curve at
  86. AP Stats

    I generally know how to use the normalcdf function on my calculator, but how to I find the area under a normal curve if there is no lower limit or no upper limit? For instance, we are required to use a calculator on this problem: Find the area under the
  87. Calculus

    1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive intersection with the x-axis. 2. The area under the curve of y=1/x from x=a to x=5 is approximately 0.916 where 1<=a<5. Using your
  88. Calc.

    sketch the curve using the parametric equation to plot the points. use an arrow to indicate the direction the curve is traced as t increases. Find the lenghth of the curve for o<t<1. Find an equation for the line tangent to the curve at the point
  89. Calculus

    The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 − y2 = 15 x2 + y2 = 15 x + y = 15 <- my answer xy = 15
  90. Econ

    For a typical negative externality market graph, with Demand curve (also labelled private value), and supply curve (private cost) and a social cost curve above the supply curve. What is the optimal quantity that maximizes total economic well being? Is it
  91. Calculus

    (a) Compute the area of the bounded region enclosed by the curve y = e^x, the line y = 12, and the y-axis. (b) How does this area compare with the value of the integral ∫ from 1 to 12 of (ln x dx)? Explain your answer. (A picture may be helpful.)
  92. Calculus

    (a) Compute the area of the bounded region enclosed by the curve y = e^x, the line y = 12, and the y-axis. (b) How does this area compare with the value of the integral ∫1-12(ln x dx)? Explain your answer. (A picture may be helpful.)
  93. physics

    A car is traveling at a constant speed along road ABCDE. (Curve BC where Bis beginning of curve and C is the end of the curve is in the shape of a "backward C." C is then the beginning of another curve and D is the end of the same curve in the shape of a
  94. Calculus AB

    Sorry but I've got a lot of problems that I don't understand. 1) Let f(x)= (3x-1)e^x. For which value of x is the slope of the tangent line to f positive? Negative? Zero? 2) Find an equation of the tangent line to the oven curve at the specified point.
  95. Calculus

    The slope of the tangent line to a curve at any point (x, y) on the curve is x/y. What is the equation of the curve if (4, 1) is a point on the curve? x2 − y2 = 15 x2 + y2 = 15 x + y = 15 xy = 15
  96. calc

    The slope of the tangent line to a curve at any point (x, y) on the curve is x divided by y. What is the equation of the curve if (3, 1) is a point on the curve?
  97. Calculus

    The slope of the tangent line to a curve at any point (x, y) on the curve is x divided by y. What is the equation of the curve if (2, 1) is a point on the curve?
  98. economic

    colgate is one firm of many in the market for toothpaste, which is in long run equilibrium. a) draw diagram showing colgate's demand curve, MR curve, ATC curve and MC curve. label colgate profit maximizing output and price
  99. Econ more help please

    See question below at **** Suppose local govt decides that a tax is the best way to address the inefficiency created by outdoor concerts. Assuming the social cost curve and the private cost curve are parallel to each other, how much does the tax on
  100. calculus

    1. Given the curve a. Find an expression for the slope of the curve at any point (x, y) on the curve. b. Write an equation for the line tangent to the curve at the point (2, 1) c. Find the coordinates of all other points on this curve with slope equal to