2. Find n and a if: Inx² + In2= In ax"+1

Q: him Z Q3. Show that 20Z does not exist.

A: The given problem is to show the given complex limit does not exist.

Q: Consider 2x° – 3y? = 8 -

A: SolutionStep I :  2x3 - 3y2 = 8Now, 2x3-3y2=8⇒2x3-8 = 3y2ddx2x3-8 = ddx3y26x2 =…

Q: 2n hニ1 ちn-3

A: Divergence test: Let an be a sequence of real numbers. If limn→∞an≠0 then the series ∑n=1∞an…

Q: In R show that 21 b) all × 11² + 20y|l² = 11x + y² ² + 1x-y₁² 2/ er

A:

Q: determine the value of c(n,5) /p(n,5) where n can be any integer thats 5 or greater

A: Recall the following. Permutations Number of permutations of n things taken r at a time: pn,r=n!n-r!…

Q: 1 L [s² +2s+5)

A: Let's find.

Q: let a,b,c,d,e and f be different positive integers so that a² - b² = c² - d² = e² - f² = 63. Value a…

A: Given:- a,b,c,d,e and f are different positive integers.  also a2-b2=c2-d2=e2-f2=63. To find :- the…

Q: Find the value of n(An B) if n(A) = 10, n(B) = 13, and n(A U B) = 18. n(An B) = (Type a whole…

A:

Q: 2 4. Express 989 = 23 43 in the form x² + xy + 5y².

A: The given number is 989. The objective is to express the given number in the form of x2+xy+5y2.

Q: 49. Prove that (a – b) × (a + b) = 2(a × b).

A: The following properties of vectors are used in proving the given identity. a×a=b×b=0a×b=-(b×a)

Q: 4s + 32 L-1 (s² – 16). wwww.

A: Given that  (4s+32)/(s^2-16) To determine the inverse Laplace

Q: 12 + 22,., +n? =n(n+ 1)(2n + 1), Vn eN

A: We will prove this as following.

Q: 10 Vx2+16

A:

Q: How many integer solutions to x1+ x2+ x3+ x4 = 36 are there for which æ1 > 5, x2 > 3, x3 > 5 and æ4…

A: We have to find the number of solutions to x1+x2+x3+x4=36 for which x1≥5, x2≥3, x3≥5 & x4≥6.

Q: If 2 4 Aй — and Av = 1 then A(3u + 30) =

A: This is a vector problem

Q: а) In(x) — 3(Vinx) + 2 — 0 b) 25% – 8(5*) = -16

A: lnx-3lnx+2=0