Bounds Definition and 169 Threads

find the volume of the solid resulting when the region enclosed by the curves is revolved around y-axis. x=\sqrt{1+y} x=0 y=3 I am using this integral... V=\int_{-1}^3[\pi(\sqrt{1+y})^2]dy and I am getting the wrong answer. I think it is just arithmetic, but are my bounds...

How do you approximate the value 'M' for the error bound formula for the Trapezoid Rule of a function that the derivative cannot be found? Error Bound Formula: http://archives.math.utk.edu/visual.calculus/4/approx.2/index.html I'm trying to figure out the value of n to get erf(1.00)...

hope you can help with this question, its a gcse paper (16 year olds) and I think i may have either made a mistake, been doing it the wrong way, or simply found the answer but me being paranoid thinks the working is too long and answer not simple enough thnx for the help Homework Statement...

I have to integrate over the northern hemisphere of a sphere. The answer states that the integration bounds for r is 0 to R, for theta it's 0 to pi/2, for phi it's 0 to 2pi. What I don't understand is why theta doesn't go from 0 to 2pi. If I had to set this up, I would have theta going from 0...

Hello everyone, I'm having issues figuring out how you find the bounds of each of these graphs, I have the solution manual but I still don't see how they did it. For example: The directions say to evaluate the double integral:http://img241.imageshack.us/img241/903/scan0001nx8.jpg On the...

Hi, I am using a Matlab program called f2matlab, which converts fortran 90 code to MATLAB code. But I keep on getting the following error: Attempted to access temp3(1); index out of bounds because numel(temp3)=0. Does anyone know what this error relates to? :rolleyes: Thanks in...

Integrate the function f(x,y,z)=–6x+2y over the solid given by the "slice" of an ice-cream cone in the first octant bounded by the planes x=0 and y=sqrt((277/123))x and contained in a sphere centered at the origin with radius 25 and a cone opening upwards from the origin with top radius 20. I...

Hello, I am having trouble understanding how to determine what is the lower and what is the upper bound in some calculus problems. For example: Evaluate the double integral xydA, where D is the region bounded by the line y=x-1 and the parabola y^2=2x+6. Now you set it up to take the...

I was wondering if anyone knew of good approximations of the primorial function for large numbers, or of reasonable bounds for it. By primorial I mean: n\#=\prod_{p\le n}p for p prime. All I know is n\#\sim e^n and the trivial \pi(n)!\le n\#\le n!. For small numbers (n <...

given \frac{x + \sqrt{x^{2} - 4y}}{2} \geq 0 \frac{x - \sqrt{x^{2} - 4y}}{2} \geq 0 how do I find the bound of values of x and y? my first answer were x\geq 0 and y\geq 0, but I discovered flaws in my solution. any hints? thanks.

I am having a problem finding the upper and lower (x,y) bounds for this problem. Find the centroid of r = 1 + cos(theta) which lies in the 1st quadrant. I come up with (2,0) and (1,0) or the axis intercept points. Is this the correct way to go about it? m=((&int;)[0]^2 ) (&int;)[0]^1

Does anyone know a trick for finding "K" in the error bound equations for approximate integration? The approximate integrations we have learned so far are Midpoint Rule, Trapzoid Rule, and Simpson's Rule. Thank you.

Need help clairfying some stuff. How do you determine if a Sequence is not monotonic? Also if its just inc. or dec. its monotonic? For example. Seq=An= 1/(2n+3) First 4 terms are {1/5,1/7,1/9,1/11,...} So its decreasing...and I guess monotonic? And how would you determine if that sequences...

Help! I've been asked to decide whether or not the given sequence is i) bounded above ii) bounded below iii) bounded and to determine (where appropriate) the supremum and infimum. I've got like 6 similar questions to attempt but I don't know where to start :confused: The examples we...

The transcendental number e – Euler’s number (the underscores(_) represent subscript and (^) represent superscript/exponet) The limiting value of sequence {e_n} where e_n = (1+1/n)^n is the irrational number e. My text gives a challenge to see if you can prove that this converges by verifying...

my problem is to determine if a sequence is convergent by deciding on wether its monotone increasing or decreasing, and to identify a bound if it exists. given x(sub n) = n/2^n. first I pluged in n values and found that as n gets bigger x(sub n) gets smaller and appears to go to zero. so I...

Here's the problem statement: Prove that x_1,x_2,x_3,... is a Cauchy sequence if it has the property that |x_k-x_{k-1}|<10^{-k} for all k=2,3,4,.... If x_1=2, what are the bounds on the limit of the sequence? Someone suggested that I use the triangle inequality as follows: let n=m+l...

I always have trouble finding my "k" value for error bounds when doing approximation of integrals. With Trapeziodal and Midpoint error bounds, I take the second derivative of my function. Then I find the number on the interval (between limits of integration that I am given) that will give me...

I have to find the least upperbounds on N and P where x is an element of the reals and represented by the repeating decimal x=m.d1d2...dNdN+1...dN+P instead of underlining I meant for this to be an overline representing the repeating sequence of digits in the decimal