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: In(2x² – 2) = In- 2x2 = 2 In x 2. True False

A: Check whether ln2x2-2=ln2x22=2lnx is true or false as follows. Recall, ln(a)-ln(b)=lnablnxa=alnx

Q: 4-(3n+2) = 4(- 3n+5) %3D

A: Given : 4 - 3n + 2 = 4-3n + 5

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: sobeit r-9xi+37i+922k and tr=35 here tri- rfindatlof gradffland div where C fixedamonnt

A:

Q: Specify singular Points (Singular type and its order if necessary) f(2) √2² +1 2 1+22

A: A complex number is represented as z=x+ιy and a complex function is a function of z. We can write a…

Q: If a,b,c,d are in distinct real number in A.P. Such that 2(a-b)+c(b-c) +(c-a) =2(a-d)+(b-d) +(c-d)'…

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: snip

A: Given: A=2131-10 and B=102132   (a) To find: AB

Q: 4 (ii) 16 | at + 15.

A: Step-1 1)16|a4+15

Q: 51 -1 4l* 3 Q2) If A = |, and B =Ľ show that -2 (A + B)² # A² + B² + 2AB

A: Given: A=12-21 and B=35-14Then A+B=12-21+35-14=47-35(A+B)2=A+B×A+B=47-35×47-35=-563-274

Q: Is it possible to find a number  n  such that is ∫0∞  xn dxconvergent?

A:

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: 5. -7 | = x(3x + 8). 5x + 1 true false O

A:

Q: -1 Find A if (2A)' 4 6

A: Take 2 in outside and transposed both sides

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: It is known to be Q-N. Accordingly, show that QxQ ~ N.

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: de 20. J 90² +120 +9 (3y– 2)cy 24. Jy² +2y+17

A: To evaluate the given integrals.

Q: If 2 2 5 A- and B-1 3 3 -2 find (AB)-!.

A: Consider the given matrix as A-1=3213 and B-1=253-2

Q: **2.) In the diagram below, ray NK bisects JNL MJNK-(22-2 and MELNK-(3x)". Determine the value of…

A: Given: In the diagram, the ray NK bisects ∠JNL. m∠JNK=2x2-2°. m∠LNK=3x°. Since the ∠JNL is…

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: 10) Find mMX 6x + 4 7x+13 6x + 14 7.

A:

Q: 4s + 32 L-1 (s² – 16). wwww.

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

Q: What is L! if 2 1 +. s s-4] 4r A. -2t +e В. -t+ 2e¬7! 3t +e" D. -2t+e" C. 47 3r E. 4t - 2e"

A:

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: Let a> 1 be a constant and let R be the region bounded by y= 6x² and y = 6x + 12 . Find the volume…

A: Given: Region bounded by y = 6x2 and y=6x+12 To find: volume of solid generated  by revolving region…

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

Q: 2x-1 2

A: Given expression is   2x-114-x2