t > 0 and xx u(x, 0) = sin(2x) – sin(5x) x € [0, T] 0 < x < T (6, [6, u (x, 0) = 10, x = 0, T t20 u(0, t) = u(7, t) = 0

Q: II 1) Listen Let A U 9 ) + i 3 m ]k and C 2. +[ 2 m 4m 1 m k. Then A B equals: B. 17 (8 m)i+ (12 m)j…

A: Dot product is the scalar product of two vectors. It is an algebraic operation whose outcome is a…

Q: if A= 31-2j and B =-i -4j calcu late: ca) A+B (b) A-B (d) LA-B) (e) direction of A+B and directionof…

A:

Q: Fl=wy'+w'x'y'+w'yz F2=wxy'+x'y'+w'yz F3=wy'+x'y'z'+w’x'z+w°y°z F4=w'xy'+wy+yz'

A:

Q: D 3 m 2 m A 4 m B = F(AB)=tension force in AB FAB E АВ F = F(AD)=tension force in AD %3D AD F =…

A: Given: Weight of flower pot W=40 N            Tension force in AB= F(AB)            Tension force in…

Q: An infinite solid conducting cylinder is placed along z-axis. Find the net force on "north- ern" (y…

A:

Q: Find Max terms from the following Min terms  F(X,Y,Z) =Σm(1,3,6,7) F(X,Y,Z) =Σm(0,1,2,4,6) F(A,B,C)…

A: For n number of variables, there are 2n number of minterms/maxterms. Given a truth table, writing F…

Q: Find Y for XOR with 3 inputs (А, В,С) АВС+A'В'С'+АВ'С+АВС О A'BC'+AB'C'+A'B'C+ABC O…

A: Write the expression of Y for XOR with 3 inputs A, B and C. Y=A⊕B⊕C

Q: 4) 2 tanx lim 3x

A: Answer :- This is the indeterminate  form of 0/0. Apply L.hospital rule . The limit of a quotient of…

Q: 5 10 15 20 25 30 3,75 7,50 11,25 14,75 18,50 22,00 sin 0; sin 0, sin 0, sin 0,

A: Required :: Values in table.

Q: L*Yem (0,6) = NYem+1 (0,6), where N is a number, (a) show that |Nf = (L*Ycm, L*Yam). (b) and hence…

A:

Q: If v = (2, 2) and w = (1, –1) , what is |v+ 2w| ? %3D

A: V= &lt;2,2 &gt; W = &lt; 1,-1&gt;  V and W are Vectors  So the vector addition can be apply  2*W =…

Q: For any three vectors, prove that A • (B × C ) = (Ā × B) · T. Also calculate Ā • (Bx C ) for the…

A:

Q: Let u = (-7,3,-5) and 7 = (-1, 1, 0). Compute the following: ū x v- vx u u xu -9 (u × v) = u x (-97)…

A: The objective of the question is to compute the cross product of the given vectors in different…

Q: se Show that the (1, 0, 0) and (2, 0, 0) wave functions listed in Table 7.1 are properly normalized.…

A: Hence the wavefunction ψ100​(r,θ,ϕ),ψ200​(r,θ,ϕ) is normalized wave function.Explanation:Step 1:Wave…

Q: Prove: =0 = √√ntl H n ħ 2mw <n-1|2|m²) = √²m² ₁ + 0 n

A:

Q: A solenoid with radius a has n coils/meter in length L and carries a current of I sin(@t). A square…

A:

Q: d²µ dx2 + K2»(x) = 0 2mE V K = ħ 2

A: The given equation is a second order differential equation with constant coefficients. This equation…

Q: how were these equations derived

A:

Q: describe Y as a function of X

A:

Q: Prove that dx (csc x): = -csc x cot x.

A:

Q: Using the method of separation of variables, find the solution of the following equation Pu, Pu = 0…

A:

Q: Prove that: [(Â×B)×Ĉ]×Ď+[(Â×Â)×Ď]×¢ +[(Ĉ×Ď) D

A:

Q: Q/ prove that µ=[(mM)/(M+m)]

A:

Q: The functions ¢1(x) and ø2(x) are normalized: dx 67(x) $1 (x) = 1 de φ (1) φ (π) = 1 and are…

A: The normalization of ψ-(x) is given by: Hence, the function is not normalized. The normalization A-…

Q: dN :47(- N M MV ? F (V )dV )3/2 y ² exp( -)dV 2 ART 2 RT Find the Vm value by considering the…

A: here the graph is showing most probable velocity Vm means most probable velocity   substitute the…

Q: iven A = 2 ax - ay - 2az B = 4 ax + 3ay + 2az C = - ax + ay + 2az find (A X B) X (B X  C)

A:

Q: 3.32 Let D = 2pz*a, + p cos? pa. Evaluate (a) $, D · dS (b) S, V · Ddv over the region defined by 0…

A: Given data, D→=2ρz2ρ^+ρcos2ϕz^ where, 0≤ρ≤5, -1≤z≤1, 0≤ϕ&lt;2π

Q: 2) Find the missing Values the in following cir cuits. C3- 4F = 2F Cz a) C、こうF 18V Find: V, %3D Cea…

A:

Q: 44. Let A=(2 m)i +(6 m)j – (3 m)k and B = (4 m)i +(2 m)j+(1 m)k. Then A · B equals: A) (8 m)î +(12…

A: Given ,          A = (2m)i + (6m)j - (3m)k          B = (4m)i + (2m)j + (1m)k    A . B = (2m)i *…

Q: Given Q> Find: 2 |Q|² $ 3 0> 4 1> Find: , and

A:

Q: Given, u = 1i + 2j + 3k ,v = 2i + 3j + 4k , compute the following: (A)(u x v)/ (u· v) (B) |u x v|/…

A: Since you have posted a question with a multiple sub parts, we will solve first three sub - parts…

Q: Determine whether each of the following vector fields Fis path independent (conservative) or not. If…

A: There are mathematical condition which can be used to test whether the force is conservative or not.…

Q: Help

A: Answer               -6i - 6j + 6k Solution

Q: Sketch the graph of y = 2 sin(wt + 8) for: (a) w = 3 s-1 and 8 = 0,

A:

Q: Suppose V×A=0 Evaluate V⋅(A×r).f where A=Axi+Ayj+Azk and r=xi+ yj+zk| `

A: Dear student When two vectors are parallel, the cross product of them is always zero. Also when two…

Q: 4. Find all second order derivatives for the following functions. (a) f(x, y) = 2² + 3ry +2y², (b)…

A: