(e) u + tu = 1,u(x, 0) = f(x) Solve the t X following PDEs using the method of characteristics (e) u₁+tu× =1, u(x, 0) = f(x)
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- Find ∂y/∂x1 and ∂y/x2 y = 2x13 − 11x12x2 + 3x22 y = 7x1 + 6x1x22 - px23 y = (2x1 + 3)(x2 - 2) y = (5x1 + 3)(x2 - 2) y = (2x1 - 3x2) / (x1 + x2) y = (x12 - 1) / (x1x2)Solve for the general solution * (4xy + 3y – x) dx + x (x + 2y) dy = 0 x³ (4xy +4y – x) = c x² (4x²y+4y² – 1) = c Option 1 Option 2 x² (4x²y + 4y² – x) = c x³ (4xy+4y² – x) = c Option 3 Option 4Calculate ?? (0,0) or show why it does not exist.
- How do I find the possible inflection points of f(x)=a/((x^2)+(b^2))? It also states a and b are parameters, and that I have to assume a,b>0.Q/IF it was AY ₁2) = -12 ℗ Y³ (2) = -12 ⒸY³ (2) = -11 Y³ (2) = -11 DÝ (2) = -13 © ²³ (2) = -13 = X+1 X-1 Y = Not of the above so y" (2)(b) MANUFACTURING At a certain factory, output Q is related to inputs u and v by the equation 2и + З0 Q = 3u² + (2 + n) 25, use calculus to estimate the If the current levels of input are u = 10 and v = change in input v that should be made to offset a decrease of 0.7 unit in input u so that output will be maintained at its current level.
- The production and sale of a boxes widgets-part-A gives us the following profit function: P(x) = 300x For the month of December, the number of boxes of widgets-part-A produced on day t of the month ( 1 ≤ t ≤ 31) is q(t) = 1100 + 3t 100 a) Find (Poq) (t) = not need to simplify) b) Find (Po q) (10) = - 370 (If needed, round to the nearest penny.) (You doI’m looking over my test review and the last step is confusing to me. How do you go from [8+(2x-5)] to (2x+3)?(8) √z²+z(a+b)+abdx
- The path of flight (trajectory) of a football thrown by a quarterback is described by the +0) ². x² following function: y(x) = - where y = vertical position of football relative to the ground Linear model yo = vertical launch position of football relative to the ground horizontal position of football relative to launch position g=magnitude of gravitational acceleration vo = launch speed = launch angle relative to horizontal Which type of mathematical model is used here to describe the football's trajectory? Nonlinear model g 2v² cos² e Exponential model + (tan)x + yo Trigonometric modelFind the x and y intercepts of the graph of f(x) (Show step by step solutions )