If e3x-4 = 2, then x = 4-In2 4+In2 In2 (a) (b) (c) (d) 3 3

Q: b) (-1)"3n² 4n²–1 n=1

A: We will use root test.

Q: 2 0 A=4 0 0 0 (b) - 2 1 4 5 2 2 1 3 0 13 2 2 (c) A= -

A: This question is related to vector space . solve in step 2.

Q: If N=6+4+3+1+1/3N, then the value of N is?

A:

Q: 2 2 2n^ (1771) and B- (1 ²51) Find -1 5 2 = -3 6 3 9/ 0 6. a) Given A =

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Q: Sekiranya 2e3x - 5 = 3, maka x = If 2e3x - 5 = 3, then x =

A: Solve the equation

Q: n2 -5n +4 an 3n2 +5 n-1 Vn=6n- 3 4 %D Wn = 4 %D -/3 II

A:

Q: -2{-12/-3+2[2²-12-√100]-(3²)}

A: We want to solve the given basic mathematical operation problem.

Q: Find the radius of convergence and interval of convergence of  Σ 2 to infinity ((x+2)^n)/(2^n)(ln n)

A:

Q: iii) P (-0.20 ≤z≤-.50) 0.1122 O-0.1122 0.8878 O 0.5

A: Given distribution is standard normal.

Q: a -7 Sa - 3 2a + 5 6 4 O 8a – 49 12 O 2a -9 3 O 8a +29 - 12 II 3.

A:

Q: Show that A and B are not similar matrices

A:

Q: 26 E(- 1)"2n - %3D n=0

A:

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: a) 5n + 1 3n2 2" (b) Σ 1 ( c) Σ n=2 nº - 7 - 1 n=1 n=1 3n

A:

Q: 1 -4 -2 B = |0 3 2 0 1 2. A = -1 4 1 -1 2 0 1 4 Find: 1: A.A1-B2 2: BT.B1+A?

A:

Q: [5 -2 31 4 B = 2 -3 2] 1 Q1/ If A = 2 1 Find: -1 Lo] а) 42 b) |A| x B in N

A:

Q: How can you find the values of a, b, and c so that det(A) = ax2 + bx + c?  A =    x 2 0 1 x -2 -4…

A:

Q: 4n? – Sn -7 = 12 5p - 9p – 11 = 3 PArta Part B 10n? + 11n + 10 = -2 Parth

A:

Q: Identify the two series that are the same.

A: In order identify the same series, just write the few terms of the gives series as follows. (a)…

Q: E(-1)n + 1(n + 8)x" n = 0

A:

Q: 2*-2 2. E 23- (n² +4) 6n² 3. 2 n=0 N° - 5n +3

A:

Q: -1 31 -1 1,D = 3] 1.0 -6 -1 3 Let A = 3 B = C = 3 1 -2 1

A: Topic:- subtraction of matrix

Q: Simultaneouly Sol ko o-408スFA to-9082-04472千c = © C) -0.40%ス TA+o.4082T6-a (2) - 0-8 _64fA -…

A: Given that, 0.4082FA+0.4082FB-0.4472FC=0      ...(1)-0.4082FA+0.4082FB=0…

Q: 2. What value of n makes the equation 4(0.5n- 3) n-0.25(12-8n) true? 3 -9 <-15 FGHI

A: The given equation is 40.5n-3=n-0.2512-8n.

Q: a1 +2b1-3c1 a2 + 2b2 - 3c2 b2 az + 2b3-3c3 =? b3 a3 a1 by If b b2 b3 =6, then C3 C2 C1 C1 C2 C3 O 12…

A: Given,

Q: (2n + 1)(n² + 1) (e) > (n – 1)(n² – 4)² | n=3

A: The given series is divergent.

Q: 2. 1. 2 8. 2. -2 そ %3D 00 11 元N ゴ

A:

Q: 17n + 22 = -23 + 2n 15 -3 0 5 0-2등

A: (6) To solve: 17n+22=-23+2n Solution: 17n+22=-23+2n17n-2n=-23-2215n=-45n=-4515n=-3 Therefore,…

Q: 18) -D°.n 5n+ 2 (-1)".n

A:

Q: 2n+2 – 3" Σ - 2. Determine 6n+1 n=0

A: To find: ∑n=0∞2n+2-3n6n+1

Q: 2" (a) 3 3n+1 (c) E(-1)"; 4n n=1 (b) 3+5n² (4) E n+ n2 n=1 n=1

A:

Q: 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

A: Given that 12cos^2(t) + 2cos(t) - 2 =0 0≤t≤2π

Q: 2(-1)n-1_6" n=1 5n+1

A: To find: ∑n=1∞-1n-16n5n+1

Q: e) Un n²-3n+ 1 2n²+1

A: Introduction: A sequence is a collection of functions. This function makes a map from the set of…

Q: true or false. 3Fn > Fn+3 for n = 3

A: Answer is True

Q: 85 2 1 r³)(1 x2 O A. (3x? – 2+ 3 - O B. 85 2 1 (3x2 – 2+ -x3)(x+ 3 · (1 – →)(x³ – 2æ + 17x3) 85 2 1…

A: Given query is to find the derivative using product rule.

Q: 6 - 22n-1 5n+1 n=1 =D1

A: Given: ∑n=1∞6×22n-15n+1 A ∑n=1∞fn series is convergent if, fn+1fn&lt;1 Check the convergence of the…

Q: n+1 2n + 1 5+8n² (b) t = 2-7n² (c) t₁ = (-1)" (1₂2) n+2) (a) t₁ =

A:

Q: Σ 2n+3 + n2 +3n n-1 3.

A: Given series ∑n=1∞1n2+3n+2n+33n

Q: -3 -5 2 -3 -5 2 d. Suppose that E4 -2 -3 -3 -4 -6 -6 4 -4 4 -4 Find E4 and E,'. E4 = 3. II 3.

A: Given: E4-3-52-2-3-343-4=-3-52-4-6-643-4

Q: 2n 2n E (n"x n:o

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: (i) ae2* + 2xe²* = 8e2« (ii) e2 – 6e" – 16 = 0 (iii) In z+ In(r – 3) = In(5x – 7)

A:

Q: S (2n)!n² (2n + 2)!

A: We have to find  limn→∞(2n)! n2(2n+2)!

Q: Σ 2n (2n - 1)2(2n + 1)2 n=1

A: The given series is: ∑n=1∞2n2n-122n+12 By the result of Comparison test, if ∑un and ∑vn are two…

Q: e-2 h(x) 1 + e(3x² + 8) %D is e-2(-2)(1 + e(3x2 + 8)-e(3x² + 8)(6x)(e=2) O h'(x) = (1 + e' e(3x2 +…

A: Given query is to find the derivative of the expression.

Q: 2n ( a ) Ση (v 1 (b) -1)^2?n+13 2n + 1 5n n=1 n=0

A:

Q: (-0.1)-금 (30)+ (150) f-0.1)= 2 3. (-0.1) 3(-0.1) -0.)(120)=683 6. 4

A: Here we have to go back to just previous step were we have function,…

Q: 2 0 1 -1 4 -1 -1 2 0 1 -4 -2 B = | 0 3 1 2 2. A = 1 4 Find: 2: BT.B1+A?

A: The transpose of the matrix M is obtained by interchanging the rows and column of the matrix  It is…

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.