# 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?

38,644 results-
## 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 -
## 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 -
## 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 -
## 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 -
## 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 -
## 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 -
## 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 -
## 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. -
## 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 -
## 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] -
## 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). -
## 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 -
## 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. -
## 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 -
## 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 -
## 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 -
## 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. -
## 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 -
## 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] -
## 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 -
## 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. -
## 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 -
## 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. -
## 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. -
## 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 -
## 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 -
## 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 -
## 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. -
## 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 -
## 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) -
## 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 -
## 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 -
## 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 -
## 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. -
## 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. -
## 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. -
## 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 -
## 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 -
## 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, -
## statistics

what is the percentage of the area under the curve is above the mean of the normal curve -
## Calculus

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

Find area of the region under the curve y=9−2x2 and above the x-axis. area=? -
## 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: -
## 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] -
## 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 = ?? -
## 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 -
## 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 -
## 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 -
## 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. -
## 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? -
## 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. -
## 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. -
## 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, -
## 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 -
## 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 -
## 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 -
## 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 -
## 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 -
## 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 -
## 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 -
## 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.) -
## 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.) -
## 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 -
## 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. -
## 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 -
## 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? -
## 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? -
## 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 -
## 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 -
## 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