Please help me with problems below, please provide as much detail as possible.
Please help me with problems below, please provide as much detail as possible. 5. Use the...
I need help with the explanations for these problems not just the math. 2, A guitar string is stretched tight along the z-axis from z-0 to z-π. Each point on the string has an x value representing its distance from the origin. As the string vibrates, each point on the string moves back and forth on either side of the r-axis. Let y = f(z, t-cost sinx be the displacement at time t millisecond of each point on the string...
please provide explanations. (a) (7 points) Use the Green's Theorem to evaluate the line integral y dr+ry dy, where 2 C is the positively oriented triangle with vertices (0,0), (2,0) and (2,6) (b) (7 points) Let F(x, y) = (2xsin(y) + y2) i(x2 cos(y) +2ry)j. Find the scalar function f such that Vf F. equation of the tangent plane to the surface r(u, v) (u+v)i+3u2j+ (c) (7 points) Find an (u- v) k at the point (ro, yo, 20) (2,...
answer fast please 2. For y'=(1+4x)/7, and y(0)=0.5 a) Use the Euler method to integrate from x=0 to 0.5 with h=0.25. (10 pts) b) Use the 4th order Runge-Kutta method to numerically integrate the equation above for x=0 to 0.25 with h=0.25. (15 pts) Euler Method 91+1 = y + oh where $ = = f(ty 4th Order Runge-Kutta Method 2+1= ++ where $ = (ką + 2k2 + 2kg + ks) ky = f(tuy) k2 = f(t+1,91 +{kxh) kz...
Need help on number 3. Please use method of transformation. Explain if possible. (2)Suppose that X and X2 have joint pdf f(x1, x2) = 2 ,0<x1<x2 < 1, and zero otherwise. Compute the pdf of the random variable Y = (3)Let X-Exp(1) and Y-Exp(1). X and Y are independent. a. Find the pdf of A=(X+Y) and B=(x-7). b. Are A and B independent? C. Find the marginal of A and B
kindly assist me to know how to find the E(x)=1.82...and E(Y)=1.16 Two descrebre rov X and Y have the following point p af x = 0, 1, 2 k (2x²y + 2y-x²-a f locry) = o otherwise y=113 Debemone 1 K (ii) bxy 1 Cor (XN) (iii) M (tutz) Use MCG, te) to confirm your answer to (11) Above Also assist here please? () Mcbrita) Use MCG, tad to confirm your answer to (ii) Abe Also assoab here please? f(x,y)...
Please Answer 5-9 ALL in detail In problems 5 and 6 solve the given differential equation. 5. y (In x - In y) dx = (x In x - x In y - y) dy Ans: 6. (2x + y + 1) y' = 1 Ans: 7. Solve the initial-value problem + 2(t+1)y? = 0, y(0) = %. Ans: dy_y2 - xy(t) = -2. 8. Find an implicit solution of the initial-value problem 9. Ans: Use Euler's method sith step...
Hi! Please help me with this question #1. Thank you so much! In each of Problems 1-6, find the expansion of f(x) in the eigenfunctions of the given Sturm-Liouville prob- lem. Compare graphs of the function and the Nth par- tial sums of the series for the given N. Also use the convergence theorem to determine what this eigen- function expansion converges to on the relevant open interval. 1. y' + y = 0; y(0) = y(2) = 0 f(x)...
Hello could you please help me out with this applied engineering mathematic problem? Let F = (yºzcosx -ax®z)T + 2z'ysinx + (byz sinx - x) 6p a) Find the values of a and b for which is conservative force field. [10p b) For the values of a and bobtained above, find a potential function for F 9ple) Find the work done in moving an object in this field over the curve C:x=sin(t), y t, z= tº from t -0 to...
2. Use eigenfunction expansion to solve the following IBVP: please answer v) (fifth one) 2. Use eigenfunction expansion to solve the following IBVP u,(x.t)-u(x.t)+(t-1)sin(a) 0<x<1 t>0 u(0,t)0, u(l,r) 0, t>0 u,(x,t)(x) cos(z), 0 <x<1 t>0 n(x,0) = 2-cos(32t) 0 < x < 1 u(0,0, u(l,t) 0, t>0 n(x,0) = 1 u,(x,0) = 0 0 < x < 1 IV Hm(x,y)+u" (x,y)--r', 0<x<1 0<y<2 u(x,0) = 0, u(x2) =-x 0 < x < 1 v) 7" 11(0,8) bounded , -π<θ<π
Hello please assist me with this question. 1. Let the function f be defined by y = f(x), where x and f(x) are real numbers. Find f(2), f(−7), f(k), and f(k2 − 1). f(x) = 3 x − 5 2. Evaluate the expression. P(12, 2) · C(12, 2) 3. Find an equation in standard form of the parabola described. Vertex (8, 3); focus at (8, 10) 4. The population of Eagle River is growing exponentially according to the model P(t)...