Let f (z) 222 Let C1, C2 and C3 be the circles |z| = 5|z| = Tand |z| = 9espectively in the counter-clockwise direction. Hint: Use partial (z–6)(z–8)* fraction. Part (a) 1 What is 2ni Part (b) 1 What is 2ni Part (c) 1 What is 2ni

Q: Evaluate limz 100 13+15z 5z 7

A: Given,          limx→∞-13x3+15x5x-x2

Q: P: loday is Montay What is ap? wnas ir (7x^2-3メソ)-(メ2+5)eaual to? what Is X-Y<32 in words?

A:

Q: Perform indicated operations and simplify 3. (-5x2 + 4) + (-2x² + 3x – 1) a00 | cacp dnceg 4. 3x(x -…

A: Question number 2 is not clear. The picture is not taken properly.

Q: K CK-1) In(k-1) k-3

A: To find if ∑k=3∞kk-12lnk-1 is convergent or divergent: ∑k=3∞kk-12lnk-1 is convergent. To show this…

Q: Evaluate lim- 4. →-∞ 2-3e 0. O 2 4/3

A:

Q: The evaluation of S z dx is V4+x2 O In(sece + tan0) + c o - In(sec0 + tan0) + c c In|sece – tan0|+ c…

A: we have to evaluate the following integral .

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

A:

Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

Q: The numerical value of xe dr is

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: (ii) Obtain the canonical product of sum expression of Y(A,B,C) = (A + bar B)(B + C)(A + bar C)

A:

Q: ind domain f furmetn and evaluate funton 2 : -1 Ju-su

A:

Q: Evaluate [R(5xy + z²)dV, where B = [-10, 10] × [0, 1] × [0, 10]

A:

Q: Find the 7th term of 2+ 2 Write the 5th term of (x + y)1º.

A:

Q: 5. Which of the following is (a) n! n=1 80 (b) n=1 (c) E T=D1 (d) -1)" (2n)! T1

A: We have to find out the power series

Q: 12 + 4j express both (a) – and (b) z +- in the form x + yj. If z =- 9- 7j ... (Simplify your answer.…

A:

Q: EVALUATION A. Express each item in simplest form. 1. (-6x³y*)³ 2. (5a?xy)(b³y*)³ 12x5y* 3. 3x²y3

A: Property 1: (pq)n=pnqn Property 2: amn=amn Property 3: aman=am+n Property 4: p-k=1pk

Q: I +3 Evaluate – 1)²(z² + 2) dr.

A: Use partial fraction to write the integrand in different fractions.…

Q: 2 Write each equation in slope-intercept form; identify the slope and y-intercept. Keep fractions…

A:

Q: snip

A:

Q: 6-73 21. lim t→+ 7t3+3

A:

Q: S X (x²+5) O dx none of these answers ○ In (x² + 5) + c ○ In (x² + 5) + c 1 (22² +5) + c

A: let   G=∫x(x2+5)dx

Q: Choose the number q so that (if possible) the ranks are (a) 1, (b) 2, (c) 3: 6 4 -3 -2 -1 and B 9 96…

A: Given that the matrices are first, let's talk about matrix A             (a) (b) (c)

Q: Compute gxxyz for g(x, y, z) = x7y6z6. (Use symbolic notation and fractions where needed.)

A: We have to find  using given data.Concept required:While finding partial derivative of  w.r.t. , we…

Q: Elianna wonders if the same ideas of AA triangle similarity would work for rectangles. She makes the…

A: Given statement : All angles of a rectangle are 90°. Hence, they are similar. ★ To be proved -…

Q: inc

A: Our Aim is to find the consecutive integers such that  the sum of their squares is 202.

Q: For the group of terms, first add the given terms. Then start over and multiply them. 6a2,9a2,5a? -…

A: At first we add these terms by taking a2  as common term. Multiply takes place as in next step.

Q: 2s Use Convolution to find L-1[- (s²+4)2-

A: Given: L-12ss2+42

Q: using this xp')-p(W)- lpcad wshow that recursion relation

A: To Determine :-  Using this recursion relation : x pl' x - pl-1' x = l pl x  show that  ∫-11 Pl x Pm…

Q: When applying the convolution theorem to calculate: a 8 L-1 ¹ { x² + Q² * x² +F}" You obtain the…

A:

Q: nd 12 22 Lt 32 +. n 00 n3 n³ + ...+ n3

A:

Q: (-1)"+1 1- 2n Given the set A = The infimum of A is

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given: limx→3x3-27x2-9

Q: 5y 7x³47² 7²7,²0). Calculate div(F) and curl(F). Let F = 5x 9 (Use symbolic notation and fractions…

A: