Find the middle value by separation of variable cose e Css R-tadius out τ R, 2...
simplify final answer
S area inside r=53-cost and outside find the r=cose find the area inside the inner loop. r=2 sin 30
Let Θ be a continuous random variable uniformly distributed on [0,2 Let X = cose and Y sin e. Show that, for this X and Y, X and Y are uncorrelated but not independent. (Hint: As part of the solution, you will need to find E[X], E[Y] and E|XY]. This should be pretty easy; if you find yourself trying to find fx(x) or fy (v), you are doing this the (very) hard way.)
Let Θ be a continuous random variable...
find a function that satisfies:
Find a function that satisfies: gi(e) = cose (tano - es c²6) and g(1/2) = 3
5. -11 points Use the Chain Rule to find dz/ds and Oz/t. z = e' cose, r = st. - V 54 + 4
Acceleration in polar coordinates is required
1. A particle of unit mass moves along a trajectory , 2r) θ E (03), and θ E ( a coal, -a cose r(8)--, expressed in plane polar coordinates. The angle 6(t) changes with time according to the equation θ wt. Here a, are positive constants independent of time. (a) [10 marks) Compute the transverse acceleration of the particle (b) [10 marks) Find the force acting on a particle and express it in terms...
1. Find the area (exact value) of the region that lies inside
the curve r=5cosθ and outside the curve r=2+cosθ
2. Find the area (exact value) of the region that lies inside
between curve r=5cosθ and r=2+cosθ
8. Find the area (exact value) of the region that lies inside the curve r = 5cose and outside the curve r = 2 + cose. 9. Find the area (exact value) of the region that lies inside both curves r = 5cose...
Find the value of r and θ. Solve for the variable over C. Find answers in rcisθ form. 1. x^6= 64i 2. -168 + 3x^2 = 2019
Problem The random variable X is exponential with parameter 1. Given the value r of X, the random variable Y is exponential with parameter equal to r (and mean 1/r) Note: Some useful integrals, for λ > 0: ar (a) Find the joint PDF of X and Y (b) Find the marginal PDF of Y (c) Find the conditional PDF of X, given that Y 2. (d) Find the conditional expectation of X, given that Y 2 (e) Find the...
complex anaylsis
please cite any theorems used
Suppose f(2)= [(2+1)(2+1>]" + [cose)} a] Find all the singularities of f(z) and classify each one as either a removable singularity, a pole of order in (and find m), or an essential singularity. b] suppose T=8, +82 where r. and 8 are the directed parameter'zed by Z,(t)=2i(1-21) ostal -1 = t sh respectively. Compute & fc zi dz. ( Answer can be left in terms of eis in the final answer) Smooth curves...
Find the exact value of the indicated trigonometric function of e. Find sec. 10) sin 0 - - $, tan e > 0 11) tan 0 =-, in quadrant I Find cose.