Consider the wave equation when the solution s admits spherical symmetry, ie, s(t,x,y,z)=v(t,r), where ... , the wave equation becomes: (1) making the substitution for some twice differentiable function h, show that (1) becomes hence, show that the general solution reads for any twice differentiable functions f
What are the differences in the steps of graphing a sine or cosine curve vs. a tangent curve? Please provide answer in written form not graphical form.
1. Find all the solutions of the equation 3sin20(degrees) = cos2x(degrees) in the range 0(degrees) is less then or equal to x(degrees) which is less than or equal to 180(degrees). 2. A triangle has sides A-C =3cm A-B = 5 cm B-C = 4 cm Find the area of
The problems are from complex variable class. Please specify the terms that you use if necessary and explain each step of your solution. If there is anything unclear in the problem, please tell me. Thank you very much. 4. Use the given theorem to show that each of these functions is differentiable in the indicated domain of
Finding formulas for the volume enclosed by a hypersphere in n-dimensional space. a) Use a triple integral and trigonometric substitution to find the volume of a sphere with radius r.
Q1. A glass crystal sculpture is made in the shape of a regular octagonal prism with 10 cm sides. Each of the lateral faces is square. To avoid breakage in shipment, the piece is padded with plastic foam beads when it is packed in its square-based rectangular box. The layer of beads must be at least 1 cm thick on all sides of
A handicap ramp is 5.26 meters above the ground. What will the length of the ramp if it makes an angle of 23 degrees with the floor?
A beam 25 feet long leans against a wall. If the top of the beam rests at a point on the wall 17.5 feet above the floor, what is the angle the beam makes with the wall?
To measure the height of a mountain a surveyor takes two sightings of the peak at a distance of 900 meters apart on a direct line to the mountain (see attached picture). The first observation results in an angle of elevation of 47 degrees, whereas the second results an angle of elevation of 35 degrees. If the transit is 2 meters
Please see the attached file for the fully formatted problems. 1. Find the indicated part of each triangle ABC. C = 118°, b = 130km, a = 75km; find c The correct answer to this problem is 180 km how did they come up with that answer? 2. Height of a Balloon: The angles of elevation of a balloon from two points A and B on
Find the exact value, given that sin A = -4/5 with A in quadrant IV tan 2A Which is the correct answer? - 7/24 24/7 - 24/7 7/24
Solve the equation for solutions in the interval [0, 360). tan 4x = 0 Which is the correct answer? x = 33, 57, 147, 237, 327 x = 0, 90, 180, 270 x = 0, 45, 90, 135, 180, 225, 270 x = 0, 45, 90, 135, 180, 225, 270, 315
If you would please give me each step to solve these problems so I can get a better understanding how to solve these types of problems would be very helpful. Thanks. Graph each expression and use the graph to conjecture an identity. Then verify your conjecture algebraically. 1. sec x - sin x tan x Verify that each equat
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
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
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
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
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
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.
State the domain and range of arccos x.
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
Find value without calculator sin (arccos1/4)
Show two ways of evaluating the following expression, without using a calculator. sin 2(pi/3)
Y = 2/3 sin(x+pi/2) Amplitude is this right 2/3 Period is this right 2pi Vertical translation this right pi2/(2/3)= 3pi upward Phase shift this right 2pi to the left
Verify that each trigonometric equation is an identity cos0/ sin0 cot0 = 1
Prove Pythagoras' theorem.
In terms of radians and X, what would be the specifications of the anlges for trigonometric points which result from the following transformations of the trigonometric point P(X)? (Work these out on a diagram of the unit circle) 1) A reflection y = x followed by a rotation through pi 2) A reflection in y = -x 3) A refle
Can the group A5 be a subgroup of the rotation group in a three dimentional crystallographic group?