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1. For a pair of ions M*-X, the attractive and repulsive energies EA and Er (in eV/pair), respectively, depend on the distance between the ions r (in nm), according to the following equations: 1.5 EA r ER 6 x 10-6 r9 a. Write down the expression for the total energy En. (2 marks) b. Take the derivative of Ex (4 marks) C. Calculate the equilibrium distance ro given that it is be distance at which en is minimum. (6 mark)...
1.(3x)( Jx & Kx) 2. (x) (Jx Lx) / (3x)/(Lx & Kx) 1. (x)(5x *Tx) 2. (3x) (Sx & Ux) / (3x) (Ux &Tx) 4. 2. (x) (Nxo Mx) 3. Na /Oa 1.(3x)( Jx & Kx) 2. (x) (Jx Lx) / (3x)/(Lx & Kx) 1. (x)(5x *Tx) 2. (3x) (Sx & Ux) / (3x) (Ux &Tx) 4. 2. (x) (Nxo Mx) 3. Na /Oa
1. (5 pts.) True oR FALSE: (a) Let R denote a plane region, and (u, v) - (u(x, y), v(x, y)) be a different set of coordinates for the Cartesian plane. Then for any function F(u, v) F(u, v)dudv-F(u(x, y), v(x, y))drdy (b) Let R denote a plane region, and (u,v) (u(x,y),o(x,y)) be a different set of coordinates for the Cartesian plane. Then dudv (c) Let R denote a square of sidelength 2 defined by the inequalities r S1, ly...
S + R=0,202 R=0,152 R=302 N N V ze mu X=1 X.=j40 Ex=6000/0° v G EX =j3,20 Ex=6000/-8° v G TWO ALTERNATORS WORKING IN PARALLEL ARE GIVEN AS ABOVE. BY THIS SHAPE: a) What are the currents that both alternators give to the external circuit? b) What is the total current on Z? c) What is the total voltage on Z? d) What is is when loaded state? e) What is the Pg1, Pg2 and Pz? f) What is the...
Instruction set architecture R: register X, Y, Op1, Op2: Operand Quantity: constant value EA: Effective memory address Opcode Operation Name MOV X Y XCH Opl, Op2 ADD X, Y SUB X, Y SAL Op. Quantity SAR Op. Quantity SHR Op Quantity AND X, Y OR X. Y XOR X, Y NOT X LOAD RA LOAD R. (A) STORERA STORE R. (A) Description Move data from Y to X Exchange Opl with Op2 X=X+Y X=Y-X Shift Arithmetic Left on Op for...
1. Determine lx using Conservation of Energy approach 12 V 8 V 1 + 2A 36v Ü 24v D2 16v
Rewrite cot (cos-'v) as an algebraic expression in v. cot (cos 'v) = 0 x 6 ?
Let V = Cº(R) be the vector space of infinitely differentiable real valued functions on the real line. Let D: V → V be the differentiation operator, i.e. D(f(x)) = f'(x). Let Eq:V → V be the operator defined by Ea(f(x)) = eax f(x), where a is a real number. a) Show that E, is invertible with inverse E-a: b) Show that (D – a)E, = E,D and deduce that for n a positive integer, (D – a)" = E,D"...
Using your expression, verify that the combination of V, B, and R, reduces down to [C/ kg], the units of the charge to mass ratio.
(0) is a lower- Consider the matrix equation Lx u, where L triangular square matrix and x = (p" and u = (u)' are column vectors. In view of Example 97: Solve the n equations for the n variables x1,x2, . . . , rn respectively. 1-12, . Example 97 We can find general formulas that characterize the procedure used in the previous example. Suppose we want to solve the equation Ux = v, where x = (x)' and v-(v)'...