Show that the following relationships hold. a) (1+i)™sn[ = Sn+m[ ¯ Sm| b) än+1] = 1+ an] (m) (m), c) s = S d) v'sn = (1+ i)"-ta %3D

Q: Show that 1 Σ (z – n)2 cosec² (z) 8.

A: As we all know the theorem which states that, For z∈ℂ\ πℤ 1sinz=∑n=-∞∞-1nz-nπ=1z+2z∑n=1∞-1nz2-n2π2…

Q: S(x + 1)(2 – x)° dx 7(2 - x)* - (2 - x)* +c 7(2 - x)* -(2 – x)* +c 3. (2 - x)* +(2 – x)* +c 금(2-x)*…

A:

Q: What is the total amount of 4500 TL with 3,7 % continuously compound interest after 3 years?

A: Given Present value (P)= 4500 TL Rate (r)=3.7% Number of years (t)= 3

Q: Let n be a positive integer. Define the function fn (2) by d fn (2) = n(2² + Find the value of f(-1…

A: Solution:Given: Let be a positive integer. the function is defined bywe have to find the value of

Q: 3. (2 + ln x)³ √ (2+1) X A. (2 + ln x) 4 +C -dx C. (2 + Inx)³ + C 4 {1tinx? Syn (2+1mx) +C 20 B. (2…

A: We can solve the integral using substitution method. Here we substitute 2+lnx by z and then apply…

Q: 7x+6x+5 dx. Evaluate J(x+1)(x² +1)'

A: Consider the given integral.

Q: In x (1+In x)² 1. S = dx

A: In this question , we will integrate .

Q: P(x) = 1. Let x! and let H=10, Find P(9)

A: To find: P(9)

Q: [-p^()]^(qr) A (par) =r Ture

A: Introduction: Two statements are referred to as equivalent if their truth values are equal.…

Q: The given table indicates the transactions at a bank for one teller for one day. Letting C represent…

A:

Q: | Aut (Z561)| =

A: We have to fin the cardinality of  Aut(Z561) that is  | Aut(Z561)|.   Result used (1)      ϕ(p×q×r)…

Q: Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane…

A: A. Here for the given system ,eigenvalues of  are  ,complex with only imaginary part.Hence…

Q: -6x %3D Find Mak. Value of f(x) = X (Use symbolic ndtation =ox for x>0 fractions where t. needed)

A: Given function :

Q: _, then m= If ym = (1/7)5

A: we have to find the value of m

Q: EX:- Find the F.I. of (f(t)) sgn (t) =

A: ft= sgntft=1if x>00if x=0-1if x<0 The signum function can also be represented as…

Q: How do I differentiate this?

A:

Q: How did you figure the 2/3 is where it discontinuous??

A: In this question, we want to know that how the given function is discontinuous at z=2/3.

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: 20 %3D Find (all) the value(s) of c such that 5c2n 3 n=0 (A) c= 2 (B) с — 7 (C) c= -2,2 (D) c = |…

A:

Q: PRE-CALCULUS WITH TRIGONOMETRY 170 11. Use the definition of Logs to solve for x: æ log2 (64) = 2 O…

A:

Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

A: The objective is to show that ∫-∞∞ x2x4+x2+1dx=π3

Q: Let X- N(10, 5'). What is P(X > 3)?

A: Provided data are,

Q: 412 +9t+8 Show that 2.546, (t+2)(t+1)2 correct to 4 significant figures.

A:

Q: For any natural number m, evaluate 1/m +x")( 3m 2m 2m +x 2x +3x" +6)"* dx, x > 0. m X

A: Topic:- Integration

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: If A(x)= 5x (1) - AP() = 1 1 + f² dt then:

A: Ax=∫05x11+t2dt

Q: Find f) af lia fallowbngi G-7) (x?- 3x' + 24). 5) a) 2. 4) for - 6) Im Cx -3) In 5x -5%

A: Hello! thank you for the question since the exact one is not defined, we'll able to solve only three…

Q: Prove that r(1/4) r(3/4) = /27. %3D

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.