Geometry need answer for 1(d) 1. Classify the quadrics in R3 with the following equations. Determine...
Solve the following differential equations (a) dy – (1 – x2)(1+y?) (b) (2xy + 1) + (x2 + 3y2) dy = 0 (c) com + 4y= 22
3. Solve the following systems of equations using Gaussian elimination. (a) 2x 3x2 + 2x3 = 0 (d) 2x + 4x2 2.xz 4 *- x2 + x3 = 7 X; - 2x2 · 4x3 = -1 -X, + 5x2 + 4x3 = 4 - 2x - X2 3x3 = -4
3. Determine which of the following are models of Incidence Geometry. For those th are models, indicate which parallel property holds for the model. For those that a not a model, list at least one axiom that fails and illustrate why. a. Points are points in the Euclidean plane and lines are circles with positive radius. b. Points are in {(x, y) = R2 22 + y2 <9} and lines are open chords of the circle. c. Points are points...
Please show solutions. Answer: 1. Find a general solution to the following differential equations: (a) y" + y = 0 (b) y" – 2y' + 264 = 0 (c) 4x²y" – 3y = 0 (d) y" + 4y = 9 sin(t). (e) y" – 6y' + 9y = 6e3x 1. (a) y = ci + c2e- (b) y = cle' cos(5t) + czet sin(5t) (c) y = cit-1/2 + c2t3/2 (d) y = ci cos(2t) + c2 sin(2t) + 3...
1) Based on the sequential circuit and answer the following questions SOV a) Write equations for J, K, T, and Z in terms of the input X and the current state given by flip flop outputs QA, QB b) Based on these equations and the properties of JK and Toggle FF's fill out the state table CURRENT NEVT STATE OUTPUT QA QB X- O X=1 X-OX=1 QAQB QAQB 0 0 STATE NEXT STATE OUTPUT c) Based on the State table...
Calculus III 1) Identify each of the following surfaces: а) z' %3x? - 5у" b) z 4x2-4 y c) z2+3x2-5y = 4 d) z2x23-5y e) у3х* 2) Find and classify all of the critical points for f(x, y)=xy -x2 + y'. 3) Find the maximum and minimum values of f(x,y)=xy over the ellipse х* + 2y %3D1. 4) Let fx, y) x3 -cosy a) Find the first order Taylor polynomial for f(x,y) based at (1,7). b) Find the sccond order...