Iterated Integral Evaluated
Please see the attached file for the fully formatted problems. Evaluate the iterated integral S 1-->0 S z--> 0 S x+z --> 0 x dydxdz
Please see the attached file for the fully formatted problems. Evaluate the iterated integral S 1-->0 S z--> 0 S x+z --> 0 x dydxdz
Please see the attached file for the fully formatted problem. By changing to polar coordinates, evaluate SSR (x+y) dA where R is the disk of radius 4 centered at the origin.
L[y](x)= Integral between 0 and 1 (x-t)^2 y dt is a linear operator. or See attachment...
How do you integrate: [a^x exp(-a) ] / x ! (The ^ represents 'to the power of ' so a^x implies a raised to the power x)
Problem attached. Over the interval infinity -infinity < x < infinity consider
I've included the problem as a JPEG . Thank you You own a plot of riverfront property which is pictured in the figure. Your property runs along the x-axis from x=0 to x=100 and is bounded by the lines x=0, x=100 and the River Sine. 1. What is the equation of the River Sine? 2. What is the area of the plot? 3. You have $6
Please see the attached file for the fully formatted problems. Let h 2 C2(R3) be harmonic (h = 0). Use Green's identity for .... to show that ...is independent of the value of R. Then deduce the mean value theorem .... Now what can you say if limx!1 h(x) = 0?
Please see the attached PDF file for the fully formatted problem. By the Binomial Theorem .... Therefore .... Evaluate the integral to get .... by a similar line of reasoning. Since this is an analysis problem, please be sure to be rigorous, and include as much detail as possible so that I can understand. Please also
Please see the attached file for the fully formatted problems. Reverse the order of integration to evaluate S 2 ---> 0 S 1 ---> y/2 cos(x^2) dxdy
A solid has a rectangular base in the x,y-plane with sides parallel to the coordinate axes and with opposite comers at points (0,0) and (4,6). The solid's sides are vertical, and the top is determined by the plane z = 3x + y. Compute the volume of the solid.
Find the area of the region {(x, y)|0 <_ y <_ x^3 − 12x + 6, 4 <_ x <_ 6} <_ is to be taken as less then or equal to
Evaluate the integral from 0 to INF of: (x^a)/(x^2 +4)^2 dx, -1 < a < 3 We are to use f(z)= (z^a)/(z^2 +4)^2, with z^a = e^(a Log z), Log z= ln|z| + i Arg z, and -pi/2 < Arg z < 3pi/2. I have found the residue at 2i to be: [2^a(1-a)/16]*[cos ((pi*a)/2) + i sin ((pi*a)/2). Please let me know if this is correct and
The problem is: Evaluate the integral from 0 to INF of: [(x^(1/3))*(ln x)]/(x^2 +9) dx by using f(z)= [(z^(1/3))*(Log z)]/(z^2 +9), with -pi/2 < Log z < 3pi/2. Also, with z^(1/3)= e^[(1/3)Log z]. We are to use the curve C: from -R to -p, -p to p around origin, p to R, and Cr from 0 to pi. Many thanks in advance
The problem is to find the value of the integral from 0 to INF of [(ln x)^2]/(x^2 +9). We are to use f(z)= [(Log z)^2]/(z^2 +9), where -pi/2 < Log z < 3pi/2. We are to use the curve C from -R to -p along the real axis, -p to p around 0, p to R along the real axis, and the curve Cr from 0 to pi. I am having several probl
Solve the differential equation. (x^2+1)dy/dx + xy = x
Please see the attached file for the fully formatted problem. Integrate: S x^2/sqrt(25 - x^2) dx
Find the limit of the improper integral on attached file.
Please see the attached file for the fully formatted problem. Integrate : S x sin 2x dx pi--> 0
Please see the attached file for the fully formatted problems. Find the area under the curve from x = 0 to x = 2 of y = ½ x^2 + 1
Why did the Alberti Cipher disk have numbers on it? Describe how the disk was used. What made it secure? What was the impact of this disk on cryptology? How does enciphering and deciphering differ on the Enigma? What weakness in the Enigma did the Poles use to break Enigma ciphers?
Find the indefinite integral of x divided by the square root of x - 1
Please see attached sheet for full equations. Find the volume below the surface z and above the subdomain D of the positive quadrant, bounded by the curves and y=z+2.
Please see the attached file for the fully formatted problems. Evaluate the integration of x squared times the square root of x + 1.
Please see the attached file for the fully formatted problems. Problem statement: What really makes Laplace transforms work for differential equations is the relationship between the transform of a function and the transform of the derivative of that function. Therefore, the formula you will prove below is key to all that
The figure shows a solid enclosed by three circular cylinders with the same diameter that intersect at right angles.... see attachment for figure and remainder of question. PART 2 ONLY!
#50 Please see the attached file for full problem description.
I am to find the volume of the solid obtained by revolving the region bounded by y = x^8 and y = 1 about the y = 10 axis.
Problem: Note: C is set containment If R is an integral domain, show that the field of quotients Q in the Embedding Theorem is the smallest field containing R in the following sense: If R C F, where F is a field, show that F has a sub-field K such that R C K and K is isomorphic to Q.
Problem: Note: Q is rational numbers, R is real numbers , sqrt() means square root Show that Q(sqrt(2)) is the smallest subfield of R that contains sqrt(2).
1. Consider the set of functions ("wave packets") (see attached) where e is a fixed positive constant. a) SHOW that these wave packets are orthonormal. b) SHOW that these wave packets form a complete set.