312 312) Tond He Longitude of cone of the cane giorin plor cond r=0, o<O< 271...
he surface Sc of an ice-cream cone can be parametrised in spherical polar coordinates (r,0,o) by where θο is a constant (which you may assume is less than π/2 ) (a) Sketch the surface Sc. (b) Using the expression show that the vector element of area on Sc is given by where he surface Sc of an ice-cream cone can be parametrised in spherical polar coordinates (r,0,o) by where θο is a constant (which you may assume is less than...
rose 3 sin (40) - Find all points 0 <0 < 27 where the curve r = 2 - 4 cos 0 has vertical or horizontal unes.
Question 2 (1 point) Identify the surface r = 1, in cylindrical coordinates. Plane Cone Half plane Disc Sphere Circle Line segment Cylinder Use spherical coordinates to find the volume of the solid that lies above the cone z = V3x2 + 3y2 and below the sphere x2 + y2 + 2? first octant. Write = 1 in the V = L*S*%' * sin ødpdepdo 1. O 2. 1 d = < 3. À b= 4. 7T 2 5. Ő...
1. Consider the insulated heat equation up = cum, 0 <r<L, t > 0 u (0,t) = u (L, t) = 0, t > 0 u(x,0) = f(2). What is the steady-state solution? 2. Solve the two-dimensional wave equation (with c=1/) on the unit square (i.e., [0, 1] x [0,1) with homogeneous Dirichlet boundary conditions and initial conditions: (2, y,0) = sin(x) sin(y) (,y,0) = sin(x). 3. Solve the following PDE: Uzr + Uyy = 0, 0<<1,0 <y < 2...
#49,53,57 3- lar coordinates to polar coordinates will Polar Coordinates Convert blar coordinates with r> 0 and the ove describe of the the rectangular con 050<27. 37. (-1,1) be app 39. (V8, V8) 41. (3.4) 38. (3V3,-3) 40. (-V6, -V2) 42. (1,-2) 44. (0, -V3) your a (a) Yo (b) YO 43. (-6,0) Rectangular Equations to Polar Equations Convert the equation to polar form. 45. x = y *.47. y = x² 49. x = 4 46. x² + y2...
given ellers. fx(z) = 0 ellers, 4(y-r) fr(u)o hvis 0 < y<1 ellers. Find P(X1/2 and P(1/3<Y < 1/2) Find E(Yl and EX Y) Find P(X+Y s 1/2)
Rank the bonds from smallest wavenumber to largest wavenumber: 1.C-O II. C=0 II. CEN IV. C=C 1.1V<l<lll<ll 2.]<ll<IV<III 3.I<IV<ll<lll 4. II<IV<Ill</ QUESTION 5 Identify the structure that fits best the spectrum provided: - TRANSMITTANCE [%] 6080 40 WAVENUMBER [cm-1] MNH2 OH HN А в 1. A 2. B 3.C 4.D 5. E
(Real Analysis) Please prove for p=3 case with details. Cantor set and Cantor ternary function Properties of Ck o C is closed Proposition 19 C is closed, uncountable, m(C) 0 p-nary expansion Let r E (0,1) and p a natural number with p as 1. Then r can be written where a e (0,1,2.. ,p-1) r- p" Proof for p 3 case: HW 36 Cantor set and Cantor ternary function Unique expression when p 3 x E (0, 1), p-3...
Question 51 167 pts Paul is considering attending a concert. He estimates the ticket price will be $90, and the cost of driving to the concert and parking will total an additional $22. In order to attend the concert, Paul will have to take time off from his part-time job. He estimates that he will lose 4 hours at work, at a wage of $10.87 per hour. What is Paul's opportunity cost of attending the concert? Enter a number rounded...
T 154.8 9 20 B C E F G H K L M N O R S 1 Learning Activity -- Facility Location by the Gravity Method 2 Instructions: 3 Latitude Longitude 1) To start the computations, you'll need to compute the SUM of the population shown in Column D. 4 City (LAT) (LON) Population (1,000) p*Lat P*Lon 2) Compute each city's "Population x Latitude" (column E). 5 1 16.6 1655 3) Compute each city's "Population x Longitude" (column F)....