*Infinite cuboid
Comment if any problem
Sketch the solid described by the inequality 5. 0rs3 a. r vary with buwd and e mane freo This is o sphene -π/2 <...
(5) a) Sketch r = 3+ 3 cosθ and b) Find the are length of the curve for 2π/3 ≤ θ ≤ π
question 12 , please sketch it by your hand , do not use
computer graph
θ varies from 0 to 2 π. φ varies from 0 to π/4 while 0 is constant. find 9-10 Write the equation in spherical coordinates. 9. (a) :2-x2 + y2 10. (a) a-2r+y- (b) x2 +z2 = 9 (b) x + 2y+ 3:-1 11-14 Sketch the solid described by the given inequalities. 15. A solid lies above the cone:- + y and below the sphere...
30] Find th e solution of the following boundary value problem. 1<r<2, u(r, θ = 0) = 0, u(r, θ = π) =0, 1,0-0, u(r-2,0)-sin(20), 0 < θ < π. u(r Please also draw the sketch associated with this problem. You may assume that An -n2, Hn(s)sin(ns), n 1,2,3,. are the eigenpairs for the eigenvalue problem H(0) 0, H(T)0.
30] Find th e solution of the following boundary value problem. 1
O -5 points LarPCalo8 7.5.012. 14. Sketch the graph of the inequality. yz5 O-5 points LaPCalc 7.2.018 Me Solve the system by the method of elimination and check any solutions algebraically, (If there is no solution, enter NO SOLUTION. I1f the system is dependent enter a for x and enter y in terms of a.) 3r Ss -4 21r+53s 37 (r, s)- O-peints LarPCak 7.2.038 My Nota Use any method to solve the system. (If there is no solution, enter...
Apply Chebyshevs Inequality to lower bound P(O< X < 4) when E(X) 2 and E(X2)-5
Question 4 (2+4+4+1+4 = 15 marks) Consider the function y = 4 sin (2x-π) for-r below to sketch the graph of y. x < π. Follow the steps (a) State the amplitude and period in the graph of this function 4 sin (22-9 ) for-r (b) Solve y π to find the horizontal intercepts x (a-intercepts) of the function. (c) Find the values of x for-π π for which the maximum. and the x minimum values of the function occur...
2. Study convergence of the integral + log r 00-1-sinr π (π-x) log z o log(1-sina)
2. Study convergence of the integral + log r 00-1-sinr π (π-x) log z o log(1-sina)
[5] Lets show that e π > πe . (e π is known as Gelfond’s constant) (a) [2] Find the local maximum of f(x) = ln(x) x for x > 0 (b) [1] Find the global maximum of f(x) = ln(x) x on [1, e2 ]. (hint: 2 e 2 < 1 e because 2 < e) (c) [1] Observe that π ∈ [1, e2 ]. (hint: 1 < π < 4 < e2 because 2 < e)
5. (a) (6) Carefully sketch the odd periodic extension, of period 2m, of the function f(x)1, 0 < x < π. (Only sketch over the interval z E [-2π, 2π). (b) (10) Find the Fourier sine series of the function in part (a)
5. (a) (6) Carefully sketch the odd periodic extension, of period 2m, of the function f(x)1, 0
Please solve the whole question.
An FIR filter is described by the difference equatio y(n) - x(n) - x(n -6) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to the inputs 310 10 2π π x (n) = 5 + 6 cos-n + 2,
An FIR filter is described by the difference equatio y(n) - x(n) - x(n -6) (a) Compute and sketch its magnitude and phase response. (b) Determine its response to the inputs...