sin(3z) Let f(z) and C: |z – n| = 1. Then S. f(z)dz = z (z-n) а. О b. 2пi с. —2пі d. None of the above а. b. O c. d.

Q: 1 Evaluate dz . 2=4.0 (z – 2.0)° (z² + 25)

A:

Q: السؤال 3 -Sec2 (). dx tan (5). · dz O ). de tan tan . da O ). dz O tan

A:

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: 2x+3y -2 = 4 3X++22= 13 X+ 2y-s2=-

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: a) Find ū - i b) Find w.u 1/2

A:

Q: Evaluate L{3 cos 2t} 3s S а) s2 + 4 b) s2 c) s2 + 4 d) s² + 4 4 a O d

A:

Q: 5. If x is an integer, then x' 2x. b d a C 6. There exists a real number x such that x'= x . FL

A: we can solve this problem using some basic properties of integers and real number.

Q: * S[*****] = Yg = 1 + +x² + %3D + de 1 + x* + 24 3 1 + 24 3 오4 4 +x2 +x + T 24 3 4 24

A:

Q: (х + 3)dx бх — х2

A: ∫ (x+3)dx/(6x-x2) ∫ (x+3)dx/x(6-x)  -∫ (3/2(x-6) - 1/2x) dx  -3/2∫ dx/x-6 + 1/2∫dx/x {ln(x) -…

Q: 6. Evaluate cos(- ).

A: Givencos-1(-32)

Q: Show that if an = 3n3-17n2 + 2n-6, then an = Θ(n3).

A:

Q: If z=In/x2+y2 +- tan 2 then the numerical value of + is equal to..... dy? dx

A:

Q: -dz , where y is given in the figure z2+1

A:

Q: Show that if an = 5n3 - 14n2 + 7n - 3, then an = Θ(n3).

A:

Q: lim (x,y)→(3,2) x cos Ty = O 3 O 2 O 1 O 4

A:

Q: Show

A:

Q: Evaluate (Csch(In 1.5) 10*+1 Usinh(Ino.5) 10x-1 A. 2.9764 В. 3.7265 C. 4.1508 D. 1.8751 Evaluate…

A:

Q: a sin(ry) dA, where R [0, 2] x (0, ] R

A:

Q: The number of terms in the exp ansion of ((x +4y)³(x – 4y)³)´ is Option 1 6. 8. 12 2 3 The 5th term…

A:

Q: 4. Which relation between x and u yields 16+x² = 4/1+u?

A: Given:

Q: 1 2 3 1 that R2 = 2R+cS. b. If R = and S= 1 0 01 find a number c such

A:

Q: 15) Find u x v for u = and v = .

A: Given vectors are, u = -7, 1, 12 = -7 i^ + j^ + 12 k^v = 2, 2, 3 = 2 i^ + 2 j^ + 2 k^

Q: 103 Let = 2+j"8 and z, = 4+ j06. Show that a. + =2 = =, +z2 b. 1- 2 = =-2 с. d.

A:

Q: The covariance of X1 and Xzis defined by cov(X, X,) .A .B E[(x, -x,)=] .C E[(x, - x,)] .D

A: Option D is correct.

Q: S. The Converse of the Pythagorean Theorem is used to determine if a triangle is a right triangle.…

A:

Q: Additional Problem Prove the statement: 3X CZ such that Vx E X, 2 | x and 3 | x.

A:

Q: Suppose x, y, z E R. Show that zz = yz if and only if either x=y or z = 0.

A:

Q: Int) If A = then det( A) = Is Choose A-= and det( A-1) =

A: The matrix is A=16-71

Q: 3.) Let X = {(0,0), (2.0), (0, 2), (2,23 3. Give an explicit expression orier by and for Rips (X,r)…

A: As per the question we are given the following set : X = {(0,0), (2,0), (0,2), (2,2)} And we have to…

Q: Evaluate e tan' e" dæ. oa. Оа. 1 O a. tan e" – 2 tan e" + e" + C O b. 1 tan e" + 2 tan e" + e" + C O…

A: Substitute u=ex,du=exdx.