1)the f a) 3 cosh z b) 0 c) in d) n -dz by using the residues is equal to

Q: 10e? dz by residue theorem, where C'is the contour z| = 2 1:4 + 52ª Evaluate

A: Complex integration

Q: Q=- Find the Zero and its oider for the function fiz) = 1- Ki+Z+ ¢ ?

A:

Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

A:

Q: How, Form P.D.E. from: a (3) Ucx,y) = (x²+a)lytb)

A:

Q: Q2. Consider the ODE Using u = y ¹, we get A) u' - xu = sin x B) u + 2xu = - 2 sin x C) u + xu = sin…

A: The given differential equation is       y’ - xy = y2sin x    . . . . . . . . . . . . (1)    Now, we…

Q: 714 a) J116z SE-3") da

A:

Q: 1+ sinr Select one: a. -tanx + secx + c b. tanx + secx + c C. 1. +e 1 COSI d. tanx secx + c

A: First do some simplification in expression than integrate.

Q: I. Use the composite midpocht rulo to approximate. 2 a) Sendox - For all 4 b) (3x ² √ x² +1 dx thuce…

A: Let h=b−an then the mid point rule is given by ∫abf(x)=h∑i=0nf(xi).Here, xi=xi−1+xi+12 is the mid…

Q: 6) To evaluate the integral a) x = √12sece b) x = 12sine f (x²-12)² dx, we may use the trigonometric…

A:

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.4 O 3.2 O 2.8 3

A:

Q: b) f(x) = x2-x %3D x²-1

A: To find out where the function is discontinous.

Q: ag show that: coth's =ţ he (xal/, X-1

A:

Q: If y=t3, then y(6)+y(5)+y(4)+(1/3)y'=y? What is the power of y? a) 0 b) 2/3 c) 1/3 d) 3 e) 2

A: Differentiation of y with respect to t can be given as:

Q: 27) sin 0 csc A) -1 B) 20 C) 1 tric function of A D) 0 27)

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

Q: TEST FOR HOMOGENEITY: 4. e √x x-2xy x - y

A: A function f(x, y) is said to be homogeneous if f(Kx, Ky) = Knf(x, y)  where n is any real number…

Q: Integrate by means of substitution a) S√√4x - 7 dx =

A:

Q: a) Find the value of + 1) tdt by using the substitution u = +1

A:

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.2 3 O 3.4 O 2.8

A:

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: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

A:

Q: C. Reduction OF Order and Variation oF Parame ters (o* +4) y- 1. tan 2x

A: The given problem is to solve the non homogeneous differential equation using reduction of order and…

Q: (c) Let 0, w', and z' be the three vertices of the rotated triangle. Show that Re[z] and Im[2] =…

A: Given : Points O0 , 0 , Aa , b and Cc , d on Cartesian plane. Complex numbers w = a + bi and z =…

Q: Assume butterflies' populace caleulated that aftes W months, in lo06 is as f lW) = 12W + Los…

A: Given f(w) = 12w + cos(16w) +n * 100

Q: H.co/ prove That;. dz 1-2 Cosh2=

A:

Q: Sxõ6 - 6)4 dx B) (16 - 6}° » C (16 - 6)5 D) A) +C 30 18 A O B C

A: