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.
Give an example of a horizontal shift, vertical shift and a reflection using trigonometric functions. Do not show this in a graph form, please have the answer written out. I'm looking for the theory not the graphic 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
Find two angles such that sin theta=.9872. Describe the steps you used on your calculator.
Determine the period: y=3sin(4x-pi)
1. Solve the IVP y'' - 2y' + 2y=0; y(0) = 0; y'(0) = 5. 2. y'''+9y'=0; y(0)=3;y'(0)=-1;y''(0) =2 Please see the attached file for the fully formatted problems. Please give me detailed, step by step hints to solving the problems. Thanks very much!
If Z1= R1(cosx1+sinxI) and Z2= (cosx2+sinxI) How do you prove that Z1 multiplied by Z2 = R1 multiplied by R2(Cos(x1+x2)+sin(x1+x2)I).
simply Cos(2x)csc(2x)- cos(2x) using trigonometry identities.
Evaluate this expression and put in terms of sin x and/or cos x. sin6x + sin4x show your work and explain how the answer was obtained.
Find two values of theta where sin theta = .3907?
Use the given values to evaluate the remaining trig functions. sin(-x) = -1/3, tan x = -sq. root of 2/4 Please show me the complete steps to evaluate this problem.
Calculate cos(3u) in terms of cos(u).
Verify the following identities, show all work secx(1-sin^2x)=cosx tanx + cotx=secxcscx cotx/cosx=cscx csc^2x(1-cos^2x)=1 cosxcotx + sinx=cscx
The base of a prism is a rhombus with each side 13 and one diagonal of 10. If the height of the prism is 7, what is the volume?
Use the given theorem to show that each of these functions is differentiable in the indicated domain of definition, and then find f ΄(z):
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
Find parametric equations for the tangent line at the point on the curve
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.
Lim of theta as theta approaches zero of (cos theta - 1) / sin theta Please provide a detailed, step-by-step solution so that I can understand what is happening and will be able to solve similar problems in the future on my own. Thank you.
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 force of 800 lbs acts in an upward direction of 40 degrees with the floor. Draw this force as a vector and determine its horizontal and vertical components.
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?
A length of rope 168 feet stretches from a bolt in the floor to the peak of an 87 foot radio tower. What is the distance from the floor at the radio tower base to the bolt? What angle does the rope make with the floor?
Problem: Construct a one-to-one function from (-1,2) into [0,1]. No need to prove.
G(x) = (4-cos3x)/(x^2) Could you please include steps so that I may learn to do it myself? Thanks.
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
Solve the triangle, if possible. B = 24.4° C = 102.9° b = 38.62 Which is the correct answer? A = 50.7°, a = 93.13, c = 76.37 A = 50.7°, a = 91.13, c = 74.37 A = 52.7°, a = 76.37, c = 93.13 A = 52.7°, a = 74.37, c = 91.13
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
Solve the equation for the interval [0, 2л). sin^2 x - cos^2 x = 0 Which is the correct answer? x = л/4, л/3 x = л/4, 3л/4, 5л/4, 7л/4 x = л/4 x = л/4, л/6