Find the inverse uf 1.cv) =2Y+ 21 eael

Q: 5. Determine given: axty - bxy = 36 %3D where a and b are constants.

A:

Q: Find the value of zo so that dz = - 2ni . %3D = 9 (z – zo)(z – 15i)

A:

Q: If f = xi + yj + zk, l7I = r,and i=, then show that grad () =

A: 1. Gradf=(dfdxi^ + dfdyj^ + dfdzk^ )      2.  dxndx = n xn-1 3. r = x2+ y2 +z2

Q: In AFGH, FG || IJ. Given that HF= 24, FG=32, and IJ 20, find HI. G HI%3D H. %3D

A:

Q: 2 sinºe cos³e de= 60 a O 120 b O 1 .c O 60 .d O 120

A: We have to solve given problem:

Q: If u = a + j13 and v = -11 – jb, calculate Im(u + v).

A: Add the two complex numbers then write the imaginary part.

Q: Find the indicated quantity, assuming that u = 5i + j, v = i – 3j, and w = 3i + 6j. u (v + w)

A:

Q: %3D 7. If mBC = (9x – 53)' and mCD = (2r + 45)", find mBAD. E

A:

Q: Show that if (xig)m.u. is re<rz , it is 8\x,r) C Blxirs] for Jx EX.

A:

Q: A E F B CD 1 AB, BE I AC AC = AB, AD = 4x-5 AE = 2x + 7, mZA = 3x +8. 9. Find m2C 10. AAEB = AADC by…

A: This question can be solved by applying ASA congruency.

Q: I shift as in Example 4.9 to find the general solu b. (2D – 1)²y = 0 + czx?)e2x

A:

Q: Find the indicated quantity, assuming that u = 7i + j, v = i − 3j, and w = 3i + 5j. u · (v + w)

A: First, we calculate v+w ,then take dot product with u .

Q: Complete the proof that ZYXZ SUT. P Q R. U W Y

A:

Q: Find the value of c such that E enc = 8. %3D n = 0 C = 8.

A: We have to find the value of c.

Q: Use the substitutions : = ye S =X Q.3 to solve the du + y Əx PDE : %3D х, и(1, у) — сos y.

A: Using the substitutions we will solve for the PDE given as follows: ∂u∂x+y∂u∂y=x ∂u∂x+y∂u∂y=x…

Q: Complete the proof that AUVX ATWX. U V T. W

A: Given:  WX=VX and UX=TX. In △UVX and △TWX WX=VX                  (Given) UX=TX…

Q: Find he value of ds/du at u = 2 if s t2 + 5t and t (u? + 2u)/s %3D

A: Here, s=t2+5t and t=u2+2u13 So, s is a function t and t is a function of u. At u=2, t=(4+4)13=813=2

Q: If u = a + j13 and v = -11 – jb, calculate the value of Re ().

A:

Q: If u = a +j13 and v = -11 – jb, calculate the value of Re

A: Given, u=a+j13v=-11-jb

Q: aw b- if w = x + 2y + z2, x , y r2 + Ins and z = 2r , find the value of ar .rk)

A: We will solve the following

Q: If z = In /x? + y? , find x- X +y В. 1 С. D. Vx? + y? A.

A:

Q: U + 2ru, =0 IER, t> 0, u(x,0) =e=.

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Use Cramer's ru;e to fins a solution: 5x+4y=12 3x-6y=24

A: System of equations are 5x+4y=123x-6y=24

Q: O prove that : (2) DO 2x e dx a e +b where a, b >o

A:

Q: is T Mzxz Mzuz defined by T()=(* ) in vertibla? If so hind Q tb C td its inverse T-l thet is find…

A:

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: If u = a − j20 and v = 6+ jb, calculate the value of Im (1).

A:

Q: If u = x²zî + yz?j – xyk and 0 = x²yz then find the value of u. (To)

A: Consider a function fx,y,z. The gradient of the function can be defined as, ∇→f=∂f∂xi^+∂f∂yj^+∂f∂zk^…

Q: Determine the real number \( \alpha \) u x v and î are orthogonal, where ù = 3î + ĵ– 5k and v = 4î –…

A:

Q: To find ∫x3(x4−15)7dx∫x3(x4−15)7dx, you would need to use u-substitution. What u could be used to…

A: ∫x3(x4-15)7dx

Q: a) Let Z = 7 – 13i, find: i) Im ) ii) (Re Z)?

A: Complex Numbers: The complex number is basically the combination of a real number and an imaginary…

Q: dæ is equivalent to Using the substitution u = x + 1 Vx + 1 1 -du 1/2 du du -1/2 du - 1) /u2

A:

Q: Given: EF | RS Prove: a. AFXE ~ ASXR FX b. SX EF RS S X- E R

A: Given, EF||RS

Q: Find the indicated quantity, assuming that u = 4i + j, v = i − 3j, and w = 3i + 2j. u · v + u · w

A:

Q: S g find Ju u and av Write the anuser in terms of U ty D Using the chain rele and V 2 to

A: Answer

Q: Determine the real number \( \alpha \) u x v and î áre orthogonal, where u = 3î + ĵ – 5k and v = 4î…

A:

Q: If the substitution u= J2x+| iS used, then Só V2x+ī dx is equivalent to ?

A: Substitution will be done by the given variable

Q: wver: EB %3D Submit Answer attempt 1

A:

Q: Using the substitution u = x + 1 / Væ +1 dæ is equivalent to 1 u +1 -1/2 du /2 1/2 du (4 – 1) /…

A:

Q: dp For p(q) = 4q-, dq dw For w(u) = 4/u, du %3D

A:

Q: Let u = 2i−j+3k, v = 3i+j−k, and w = 3i+j+2k. Verify Equation (3).

A: Given- u=2i-j+3k,v=3i+j-k and w=3i+j+2k To verify- The equation u×v·w=u·v×w

Q: If AB 12 centimeters, OE = 4 centimeters, and OF = 4 centimeters in O0, find CF. %3D E D F

A:

Q: Find he value of ds/du at u = 2 if s t2 + 5t and t = (u? + 2u)

A: ds/du=9/2

Q: Let z=xin(x2+y²-eª)-162xy, x=te°, y=et. If the value of when s=2 and t=1 is equal to Ae?+Be", then…

A:

Q: D B. E C Given: AB XEB = CB × DB Prove: AABC- ADBE

A: To Determine: prove △ABC~△DBE Given: we have a figure in which we have triangles △ABC and △DBE also…

Q: If u = a + j13 and v = –11 – jb, calculate the value of Re

A: Given that u=a+j13 and v=-11-jb. We need to calculate Re(u/v)

Q: Let a A =| d e f h i and 2a 2b 2с B = 2d 2e 2f i Given that det(A)=1/12, what is det( B-)? Answer:

A: Other

Q: If the substitution u=1+/x is made, then dx = A 2fvūdu В du O 2 Su?du

A:

Q: The IHiplicative in verse of 2° tX -I in Zs [x] /is; mu d. nune of

A: Ring Theory.