Please do both of the problems! Thank you !
Please do both of the problems! Thank you ! [4 pts] Problem 2. Verify that is...
2. (3+4+4+4 pts) In this problem, we discuss a method of solving SOL equations known as Reduction of Order. Given an equation y" +p(a)y' +9(2)y = 0, and assuming yi is a solution, Reduction of Order asks: does there exist a second, linearly-independent solution y2 of the form y2 = u(x)41 for some function u(x)? See Section 3.2, Exercise 36 for reference). We'll now use this to solve the following problem. (a) Consider the SOL differential equation sin(x)y" — 2...
Please answer this question in both mathematically and with R. I
need R code also.. Its urgent...
3.14 For the variables in Table 3.4, define z 3y1 y2 2y3 (3,-1,2)y. Find z and sz in two ways: (a) Evaluate z for each row of Table 3.4 and find Z and s directly from 21,22,., 210 using (3.1) and (3.5). (b) Use za'y and s2- a'Sa, as in (3.54) and (3.55). The sample mean of a random sample of n observations...
please do part B!
Part 2: Problems Problem 1:12 points An Atwood machine is made of two masses m! = 0 15 kg and m2 = 0 1 kg attached to lightweight (i.e. massless) string placed over a pulley. As always the string does not stretch. The pulley is made of a disk of mass M-0.5 kg and radius R = 0.1 m. The two masses are initially at rest at the same height yinitial-0.75 m above the ground. Use...
Problem 4 (20 PTS) For the given function: 2(,y) = re (1) (8 PTS) Determine 2x , zy, Zry, and Zyz. (2) (4 PTS) State whether the conclusion of Clairaut's theorem holds for z(x, y) and explain your answer. (3) (8 PTS) Determine and write down the equation of the tangent plane to the surface : at the point P(1,0,1). Give the equation in standard form, i.e. in the form Ax+By+C2 = D.
problem 5
l lbout 0 for a general solution to the given differential equation u, y(0) = 0, V,(0) = 1 . Your answer should include a grneral formula for the ncients. (Find a recursive relation. If possible find Vi and 1,2). 3: Chebyshev's equation i(y + p'y-0, where p is a constant. Find two linearly Independert series solutions yi and ya. (Hint: find the series solution to the differential equation at z-0 to factor ao and ai as we...
PLEASE ANSWER ALL PROBLEMS CORRECTLY.
THANK YOU!
PROBLEM 1
PROBLEM 2
PROBLEM 3
PROBLEM 4
Write a polar equation of a conic with the focus at the origin and the given data. parabola, directrix x = 7 Write a polar equation of a conic with the focus at the origin and the given data. hyperbola, eccentricity 5, directrix y = -4 Consider the equation below. 1+ sin(0) (a) Find the eccentricity. e = (b) Identify the conic ellipse parabola hyperbola...
Hi, I need help solving number 13. Please show all the steps,
thank you. :)
Consider the solid Q bounded by z-2-y2;z-tx at each point Р (x, y, z) is given by mass of Q [15 pts] 9. x-4. The density Z/m 3 . Find the center of (x, y, z) [15 pts] 10. Evaluate the following integral: ee' dy dzdx [15 pts] 11. Use spherical coordinates to find the mass m of a solid Q that lies between the...
Please answer this MATLAB questions when able. Thanks.
4. Laboratory Problem Description In this laboratory you are required to Find the solution of the following systems of linear equation: 1) xl + x2 + x3 3 4x1 - x2 x3-2 x1 2x2 x3-2 2) 2 -1 3 A 1 3 -2. B-2 Given the following system 4x1+3x2+7x3- 3 3x1+2x2+1x3 1 2x1+3x2+4x3- 2 Using MATLAB commands solve the following system using Gaussian elimination with partial pivoting. Find P, L, and U...
Please answer questions 4 and 5 only !!!
thank you
the data from quest 3 is:
P-values (0.00) (0.00) P-value for F = 0.00 a) Interpret the intercept and the clope Show the estimated regression equation in a diagram b) Interpret the value of R Tos-1.0476810 4. Refer to the regression results in question 3. a) Examine, based on the p-value, whether the slope (ba) is statistically significant at the 5% level. Mention all the steps. HB (2Sinbad level ...5...
NO.25 in 16.7 and NO.12 in
16.9 please.
For the vector fied than the vecto and outgoing arrows. Her can use the formula for F to confirm t n rigtppors that the veciors that end near P, are shorter rs that start near p, İhus the net aow is outward near Pi, so div F(P) > 0 Pi is a source. Near Pa, on the other hand, the incoming arrows are longer than the e the net flow is inward,...