# 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?

44,539 results

1. ### 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
2. ### 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 curve above X axis ...
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 valid density. -- Okay...
4. ### 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 for x ≥ 1.") ...
5. ### 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. To the left of z = 0....
6. ### 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 integral", without finding ...
7. ### 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] using a definite ...
8. ### 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.
9. ### 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.
10. ### 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] using a definite integral.
11. ### 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)
12. ### 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 under the curve? X=(1, ...
13. ### 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 could split the range ...
14. ### 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 f(x) and the x-axis) ...
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 below z under the normal ...
16. ### 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 below z under the normal ...
17. ### 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. (b) Find the standard ...
18. ### 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 below z under the ...
19. ### Calculus

Suppose the area under the curve y=xe^(-mx) from 0 to 1 is 0.4. Find m.
20. ### statistics

what is the percentage of the area under the curve is above the mean of the normal curve
21. ### 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 line y = -5?
22. ### 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.
23. ### 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.
24. ### 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 that anything before ...
25. ### 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,
26. ### 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
27. ### 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 standard normal curve ...
28. ### 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 = ??
29. ### Math

Find area of the region under the curve y=9−2x2 and above the x-axis. area=?
30. ### 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]
31. ### 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:
32. ### PHYSICS

The area under a force-versus-time curve is: a) momentum b) impulse c) velocity what's the area under a force-vs-time curve: momentum, impulse, or velocity?
33. ### 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 a curve (a is ...
34. ### 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 1 than within .25 on...
35. ### 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. above the supply curve...
36. ### 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)
37. ### Calculus

Finding area under a curve From [1,3] 2x^2 -4x +1
38. ### math

how do you find the area under a curve
39. ### 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 somehow? How do I set it up?
40. ### Calculus

Approximate the area under the curve on the given interval using n rectangles and the evaluation rules (a)left endpoint, (b) midpoint and (c) right endpoint. y=(x+2)^(1/2) on [1,4], n=16 How am I suppose to do this?
41. ### calculus

If f(x)=8x +2 find the exact area under the curve from x=0 to x=2.
42. ### statistic

The area under a normal curve distribution is
43. ### calculus

A rectangle is to be inscribed under the arch of the curve y=4cos(.5x) from x=-pi to x=pi. What are the dimensions of the rectanlge with the largest area and what is the largest area? please explain.
44. ### physics

The grath is a plot of work versus time. The power can determined from a)the xaxis, b)yaxis, c)the slope of curve,d)are under the curve, e)radius of curve
45. ### math

i need help finding area under curve of:2y=sqrt(3x),y=4, and 2y+1x=4
46. ### Calculus

i need help finding area under curve of:2y=sqrt(3x),y=4, and 2y+1x=4
47. ### Calculus

find the area under the curve y = x^2 + x from the origin to the line x = 3
48. ### Calculas

Find the area of the region under the curve y = 12 e ^{3 x} between x = -2.6 to x =2.6
49. ### calculus

Find the area of the region under the curve y = 16 e ^{4 x} between x = -1.4 to x =1.4 .
50. ### statistics

find the area under the curve y=3log1.2x between x = 1.2 and x = 3
51. ### math

What is the z-score such that the area under the curve to the left is .48?
52. ### Math

Find the area under the standard normal curve to the right of z = -1.25.
53. ### Calculus

what is Trapezoidal rule? How does it work in finding the area under the curve(s)?
54. ### Calculus

Find the area under the curve y=5(cosx) and above y=5(sinx) for 0<x<pi
55. ### statistics

Find the area under the standard normal curve for the following: (A) P(z < -1.80) (B) P(-1.93 < z < 0) (C) P(-0.17 < z < 2.05)
56. ### Calculus

What exactly is an integral? I understand it is the area under a curve but what does it pertain to?
57. ### college ststistics

find area under the standard normal curve A). p(z>0.58) B. p(-1.10<z<0)C. P(-1.60>=<z<2.09)
58. ### statistics

find the area between z=0 and z=0.9 under the standard normal curve is
59. ### math

find the area under the normal distribution curve between z = -1.25 and z = 2.20
60. ### math

find the area under the normal distribution curve to the right of z = -2.40
61. ### Stats

Need help finding the area under the normal curve between z = -1.0 and z = -2.0?
62. ### Math

Find the area under the normal distribution curve between z = –0.10 and z = 3.20.
63. ### Math

Find the area under the normal distribution curve between z = 0 and z = –0.35.
64. ### Math

Find the area under the normal distribution curve between z = 0 and z = 3.20.
65. ### Math

Find the area under the normal distribution curve between z = 0.35 and z = 2.95.
66. ### Math

Find the area under the normal distribution curve to the left of z = –1.50.
67. ### Math

Find the area under the normal distribution curve to the left of z = 2.35.
68. ### Statistics

Find the area under the standard normal curve between z = 0 and z = 1.37.
69. ### Statistics

Find the area under the standard normal curve between z = 0 and z = 1.37.
70. ### Calculus

Find the area of the region under the curve y=x+2 over the interval [1,4].
71. ### 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 the tangent to this ...
72. ### calculus

A long narrow piece of land gets flooded each year by a river. The flooded area is in the shape of the area under the curve y = 2.3 x^3 and above the x-axis, for 0 \le x \le 3.2. All the distances are in metres.
73. ### calculus

find the area of the region under the curve y=f(x)=e^2x over the indicated interval x<2
74. ### CALCULUS

what is the area in square units of the region under the curve of the function f(x)=x+3, on the interval from x=1 to x=3? 10 12 14 16 18 ?
75. ### Calculus

Given f(x)=1+2cos x , find the area under the curve y=f(x) between x = pi/2 and 2pi/3.
76. ### math

find the area under normal distrubution curve at the right of z = -103
77. ### Statistics

The total area under the control distribution curve is equal to a probability of what?
78. ### brief calc

Calculate the total area of the region described. Do not count area beneath the x-axis as negative. Bounded by the curve y = square root of x the x-axis, and the lines x = 0 and x = 16 This is under Integrals, i don't know what i'm doing wrong, please help
79. ### Calculus

Suppose the total area under the curve y=x^2-mx+1 from 0 to 5 is 11.3024. Find m. I know that this means that i need to find the integral of the absolute value of x^2-mx+1 from 0 to 5 and set it equal to 11.3024, but I am not sure where to go from there.
80. ### statistics

Find the area between x = 9.5 and x = 23 under a normal distribution curve with μ = 20 and σ = 4 .
81. ### stat

The total area under the normal distribution curve is equal to a probability of____
82. ### Steveeee help plz

What is the area is square units o the region under the curve of the function f(x)=4, on the interveral from x=-1 to x=3
83. ### Statistics

Fill in the blank: 50% of the area under the standard normal curve is between -0.5 and _____________.
84. ### Math

Find the area between x = 9.5 and x = 23 under a normal distribution curve with μ = 20 and σ = 4 .
85. ### Math

Find the area between x = 9.5 and x = 23 under a normal distribution curve with μ = 20 and σ = 4 .
86. ### Math

Find the z-score such that the area under the standard normal curve to the left is 0.25
87. ### math

Find the z-score such that the area under the standard normal curve to the left is 0.53.
88. ### Calculus

I don't understand what the graph is suppose to show and what the integral equation is suppose to mean. How would I use the graph to answer the questions? f is the differentiable function whose graph is shown in the figure. The position at time t (sec) of a particle moving ...
89. ### 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 such rectangle. let ...
90. ### Calculus

If the area under the curve of f(x) = 25 - x^2 from x = -4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate? 1) Underestimate 2) Overestimate 3) The area will be exact
91. ### Calc.

Find the area of the region bounded by the parabola y=x^2, the tangent line to this parabola at (1,1) and the x-axis. I don't really get what this question is asking. It looks like the area of right triangle to me...try the graph, and shade the area under the tangent. Find out...
92. ### 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 calculator, find a. 3...
93. ### STATISTICS

The area under a normal curve distribution is I have an answer of equal to one. is this correct?
94. ### Statistics

x=3-0 . What percentage of the area under the normal curve lies to the left of ( 16.0% 15.80% 2.50% 0.50% having trouble with this my answer was 15.00% 0.15%
95. ### calc

Find the area under the curve below from x = 0 to x = 2. Give your answer correct to 3 decimal places. y = 2x - x2
96. ### Calc

Find the area of the largest rectangle that can be inscribed under the curve y = e^(-x^2) in the first and second quadrants.
97. ### calculus

find the area under the curve y= 1/(3x+1)^2 over the interval [0,1]. please show all steps
98. ### 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 this curve satisﬁ...
99. ### 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 curve has derivative: dA...
100. ### 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.