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Wave Equations : Comparison Between Circular and Square Vibrating Membranes

Please see the attached file for the fully formatted problems. Consider a circular membrane of radius a and a square membrane Assume the two membranes (i) have the same area. .... (ii) obey the same wave equation... (iii) Have the same boundary conditions phi = 0 at their boundaries. A) TABULATE (i) the 3 lowest frequen

Wave equation

Wave equation problem - show that the wave eq. u(x,t) can be expressed as 1/2((fodd(x+ct)+fodd(x-ct)) - fodd being the odd periodic extension of f(x) See attachment

Trigonometric Expressions

Please see the attached file for the fully formatted problems. 1.)Calculate: 234.1sin(1.56)/cos(.34) 2.) Is the following even or odd? Cos(sin t)

Periodic Functions via Convolution

Please see the attached file for the fully formatted problems. "Periodic Function via Convolution" Consider the periodic train of Dirac delta "functions" f(x) =.... with real period .... (a) FIND and DESCRIBE its Fourier transform F(k). What happens to F if c gets doubled? (b) Let p(x + c) = p(x) be a periodic function.

Volume of a Hypersphere : n-Tuple Integral

Please do #4. Please see the attached file for full problem description. In this project, we find formulas for the enclosed by a hypersphere in n?dimensional spaces 1 Use a double integral, and trigonometric substitution, together with Formula 64 in the Table of Integrals, to find the area of a circle with radius r 2 U

Using triangle ABC, show that the form (cos(A/2))^x is able to find side lengths.

Let ABC be a triangle. Prove that (cos(A/2))^x, (cos(B/2))^x, and (cos(C/2))^x are the lengths of a triangle for any x greater than or equal to 0. From what I have found in my books, it is impossible to solve for side lengths of a triangle using AAA b/c there is no formula to do so. It is possible to find similar triangles

Setting up trig problem

I would like to get some help in setting up this problem. I tried using the radius of the circle as one side of the triangle but have not been able to get the answer Please see the attached file for full problem description.


Find all the solutions to 5(cos x)^2 - 4cosx-1=0

Angle Determination in Triangles

I need some help understanding how to get the value of 'x'. The angle is 17 degrees and the book gives an answer of 0.90375. Please see attachment for diagram.

Pythagoras Theorem

State the lengths of the legs and hypotenuse of each triangle: (1.) 15cm(straight side) 17cm(slant side) 8cm(bottom has tiny square in it) (2.) 25m(left long slant side) 20m(right slant side) 15m bottom w/tiny square (3) 26 in.(left) 24 in. (rt) 10 in.(bottom w/ square)

Finding the Dimensions of a Form Roller

I need help setting up the triangles to solve this problem. The value of B=2.25 and the need to find the value of X. The answer of X is given as 2.0159. This problem you are given the answer and must construct the problem.

Setting up Triangles

In the attached diagram, I am in need of so help to construct the triangles to solve the problem. I know the answer is in finding unknown overall distance but cannot figure out the construction to find it. Please see the attached file for the full problem description.

Circumscribable Quadrilateral and Finding Lengths

In the attached figure, the quadrilateral ABCD has the following lengths of sides and diagonals: DC=7, CB=8, BA=13, AD=13, AC=15, and BD=13. 1. Verify that quadrilateral ABCD is circumscribable 2. Find the remaining lengths of DE, BE, AE, and CE. Although it appears there is a right angle, it is not labeled as though it

Trigonometric functions

Express each of the six functions (ratios) in terms of angle A. Derive Sin,Cos,Tan,Cot and Cosec from a right triangle.


Please see the attached file for full problem description with proper diagrams. --- 1. We wish to estimate the height of the college chimney. When I am standing at a position A, the angle of elevation is 30 degrees, when I advance 50m closer the angle of elevation is 47 degrees. How high is the chimney? Take the height of

Determine the remaining sides and angles of ABC

Angle B = 18.7degrees angle C = 124.1degrees one side of the triangle AC=94.6m. use the law of sines to solve the triangle involving SAA. a/sinA=b/sinB substituting the known values given 94.6/sin18.7degrees=b/sin124.1degrees b=94.6 sin124.1/sin18.7 b=? Can you help me did I set it up right? find C from the fact that t

Pythagorean Theorem

I need to use the theorem to show that the area on the outside of A plus the outside of B = outside of C. I can't use something as easy as a square but I don't need anything too crazy. Please help with any suggestions as well as how I would find the area.

Trigonometric Function : Solve for solution in the interval [0,2pi]

The two graphical methods are intersection-of-graphs method f(x)=g(x) correspond to the x-coordinates of the points of intersection of the graphs of y=f(x) and y=g(x). or can use the X-Intercept method f(x)=0 are represented by the x-intercepts of the graph of y=f(x). tan3x=3tanx