ди Q6/Determine the solution of u = 40 subject to boundary conditions u (0, t) = 0, u Ət (L. t)=0 and the initial condition u(x,0) = x+3, where L is the length of the bar.
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- At what interval is y=2x4- 4x2 concave downward? * 3 3 3 3 V3 3x 1. An object moves in a plane from the position r₁=(-1,-2) m to the position_r₂=(2,7) m and then to r3=(3,8 m. The time of the motion is At = 30 s. Find: (a) total displacement; (b) distance between the initial and final positions; (c) distance travelled (way length); d) average velocity and average speed. total €=30s displacement +The function U(x, y) satisfies the equation a²U_a?U + ax2 ' ay2 = -2, at every point inside the square: -1< x <1 & –1Build the implicit scheme and the simplest iterative process for quasilinear equation - 2 [kw)]. ә дх 0 < x < xo(t), ПС ди Әt u(x, 0) = COS " " k(u) = u0.6, 0The function U(x, y) satisfies the equation = -2, ax2 ' ay2 ду? at every point inside the square: -1< x<1 & –14. Find the extreme values of the function f(x, y, z) = xy + z^2 on the circle of intersection of the plane y-x = 0 and the sphere x^2 +y^2+z^2 =4. What is difference between the absolute maximum and minimum values? Select one: а. 2 b. 4 С. 1 C d. 5/2 е. 9/2Recommended textbooks for youAdvanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat…Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEYMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,