a) y = х+ 4

Q: Calculate û x ô if û = ĵ + 2k and û = -i - ĵ + k. %3D

A: Topic = Vector   if u→ =a1i+a2j+a3k and v→ =b1i+b2j+b3kthenu→×v→=ijka1a2a3b1b2b3

Q: 4. Express in terms of i (d) V-27 (e) -V-49

A:

Q: 4) 6x + 2y = -7 4x – 4y = 22 ofthe ear and their

A: Given equation

Q: Determine and y such that 0 [xy 139+223-412,3] = 2x y -5

A: To determine the values of x and y.

Q: C) Worte ex bonent prom into nte exborent from 2x+B. 109= ¢

A: We know that, from the property of logarithm, logab=c⇒ac=b         ⋯⋯1 Also, from the property of…

Q: 4 (0) = 4l6)=3 Soluhon DE: Y= 64,-442

A:

Q: Solve for u. u/2 + 3u/4 = u/8

A:

Q: Show that fu,, u,) is an orthogonal basis for R?. Then express x as a linear combination of the u's.…

A:

Q: 3. Show that (1+i) = 2i

A:

Q: FCX)=10+x FC2)

A:

Q: 하금 Find au du dx and 좀 하 dy (a) yuand u = x2 +2 dy (b) y = us and u = 4x2-x + 6

A:

Q: flx). a/2)=6x+6.and hlx) -alA 88

A:

Q: • 4 13х + 12 -dx x2 + 3x 3

A: ∫3413x+12x2+3x-4dxApplying completion of squares:=∫3413x+12x+322-254dxSubs u =…

Q: 1. Which is the simplified form of 3xy x 5xy? a. 15x'y? b. 15x*y 15xy d. 15x'y Cc.

A: Write in simplified form 3x2y×5xy.

Q: 6) y = 2x + lo 3x - 6y = 0

A:

Q: U(9) has how many elements?

A: We know that- U(n) is the set of natural numbers  that are less than n and coprime to n.