hemostrate that the function Y= (름), sin ( or r porticle n a box with a...
If sin x = and sin y = 13,0<x< 2,39 < y < 2., evaluate tan (x + y)
in each case: (e) Compute y = sin(z)cos(r) for 0 < z < π/2
Let x[n] and y[n] be periodic signals with common period N, and let z[n] = { x[r]y[n – r) r=<N> be their period convolution. Let z[n] = sin(7") and y[n] = { . 0 <n<3 4 <n <7 Asns? be two signals that are periodic with period 8. Find the Fourier series representation for the periodic convolution of these signals.
10 Find two solutions of the equation sin x =--for 00 < χ
10. Consider the surface S parameterized by w r= (cos y, sin v, u + sin v), -3 <u <3, 050 < 27 *** (a) Write a linear equation for the tangent plane to the surface at (0,1,1) (b) Compute the surface area of S.
. c) + < 2 b) 2 + 3x 27, 0. Solve for r: r' + 2.r < 2.1? +12
6. Find the particular part of the solution of the difference equation y(n+2) – 2y(n+1)+y(n) = 4 for n <0.
The probability density function of X is given by
0 elsewhere
Find the probability density function of Y = X3
f(r)-(62(1-x)for0 < x < 1
2.10.4 Given a function f(x,y) on a compact region E in R^2,
Find the maximum and minimum values of f on E, and the points at
which these extreme values are attained.
f(x, y) = x2 sin y + x, and E is the filled rectangle where -1 < x < 1 and | 0 < a < .
Find the area of the region that is bounded by r = sin 0 + cos 0, with 0 <OST. Find the area of the right half of the cardioid: r = 1 + 3 sin .