السؤال 4 of f(x, ) = in(ex cos(m), then which of the following combination is correct...
Find fxx(x,y), fxy(x,y), fyx(x,y), and fyy(x,y) for the following function. f(x,y)=6x/7y-9y/5x Find fx(x,y), fxy(x,y), fyx(x,y), and fyy(x,y) for the following function. 6x 9y f(x,y) = 7y 5x fox(x,y) = fxy(x,y) = fyx(x,y)=0 fyy(x,y)=0
Consider f(x,y)= = y sin(y e3*). Then which one of the following is correct Ol fux, y) = - 3 e3x cos(y? e3x) oll fx(x, )= - 3 y e3* cos(y e38) o III. fx(x, y) = – 3 e3x cos(y2 e38) O IV. fx(x,y)= - 3 y2 sin(3 y2 e 3*)
Find fxx(x,y), fxy(x,y), fyx(x,y) and fyy(x,y) for the following function.f(x,y)=5x2y2+3x6+4y
4. (a Let (sin( x cos( ) dr + (x cos(x + y) - 2) dy. dz= Show that dz is an exact differential and determine the corresponding function f(x,y) Hence solve the differential equation = z sin( Cos( y) 2 x cos( y) dy 10] (b) Find the solution of the differential equation d2y dy 2 y e dx dæ2 initial conditions th that satisfi 1 (0) [15] and y(0) 0 4. (a Let (sin( x cos( ) dr...
a. 1. Answer each of the following: Compute the Wrornskian of the set {ex cos 3x, ex sin 3x} b. Show that {e* cos 3x, ex sin 3x} form a fundamental solution set for y" – 2y' + 10y = 0 on the interval (-00,00) and write the general solution
Find f(x), assuming that f(x) ex dx = f(x) e' - 8x-1 ex dx. (Use C for the constant of integration.) Evaluate the integral. (Use C for the constant of integration.) cos 498(3y) sin?(3y) dy
2 نقطة (نقاط) السؤال 5 Given f(x) = x3 – 20, where (x0 = 4)and(x1 = 5). Using the Secant method, the approximated root after the :second iteration is 0.1819 0 0.5643 O None of them O 2.8963 O 3.2787 O
2. The defl ection a uniform beam with flexual rigidity EI and applied. be load f (x) = cos (x) satisfies the equation 2 y(0) =v'(0) = 0 11' (2)イ(2) =0 Ely(4) (x) = f (x) (a) Evaluate the deflection y (). '/ sin (a 2) dx =--cos (az)+C Hint:"/ cos (ax) dx=-sin (ax) + C, 2. The defl ection a uniform beam with flexual rigidity EI and applied. be load f (x) = cos (x) satisfies the equation 2...
Determine whether the equation is exact. If it is, then solve it. (cos x cos y - 10x)dx - (sin x sin y + 2y)dy = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. = C, where is an arbitrary constant. O A. The equation is exact and an implicit solution in the form F(x,y) = C is (Type an expression using x and y as the variables.) OB. The...
Find the directions in which the function increases and decreases most rapidly at Po. Then find the derivatives of the function in these directions. xy) =x"cos(y) +x"win(x) cos(x)sin(y). Plo The direction in which the given function txy_f(xy)-x3cos(v)+x2vsin(x) + cos(x)sin(y)increases most rapidly at P 0주 is u: " (Type exact answers, using radicals as n (xy)=x3cos(y)+x"win(x)-cos(x)sin(y) The direc on in which the given function f(xy- is eases most rapidly at (Type exact answers, using radicals as needed The derivative of the...