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Question: The gamma function is defined by Gamma xint0infty tx 1 e t dt evaluate Gamma x1

Question: Evaluate Gamma 5

Question: The Beta function of mn is defined as
Question: Evaluate Gamma  frac32

Answer:A: int01 xm 11 xn 1 dx

Question: Use the Gamma function to evaluate int01x41 x3 dx
Question: Evaluate fracGamma3Gammafrac52Gamma55

Question: Use the result in question 4 to evaluate beta 43

Question: Solve the differential equation y 3y2y0

Question:  Find the Laplacian of the function phi xyz2x2 y xz3
Question: Solve the initial value problen y3y0 y03 y06

Question: Solve the initial value problen y 2yy0 y1y10

Question:  Given that z1r1 cos 1i sin 1 and z2r2 cos 2i sin 2 evaluate z1 z2
Question: Find real number x and y such that 3x2iy ix5y75i

Question: Find the polar form of Complex number 22isqrt3

Answer:B: r1 r2 cos  1  2 i sin 1 2

Question: Find the fifth roots of  1

Question: Find the angle between A2i2j k  and B6i 3j2k

Question: Determine the value a so that A2iajk and B4i 2j 2k are perpendicular

Question: Find an equation for the plane perpendicular to the vector A2i3j6k and passing through the terminal point of the vector Bi5j3k
Question: Find the projection of the vector Ai 2jk on the vector B4i 4j7k

Question:  Find the work done in moving an object along a vector r3i2j 5k if the applied force is  F2i j k

Question: If A2i 3j k and Bi4j 2k then Atimes B is

Question: The solution of fracpartial 2partial xpartial yphi A at the point 2  1 1 of the function phi xyzxy2z and Axzi xy2kjxz2 is
Question:  If A2i 3j k and Ai4j 2k then ABtimesA B is

Question: The solution of  2i 3jcdot ij ktimes 3i k is

Question: Given Ai sint j sintk the value of leftfracd2 Adt2 is

Question:  The magnitude of the velocity of a particle which moves along the curve x2 sin3ty2 cos3t and z8t at any time t0 is

Question: The magnitude of the acceleration of a particle which moves along the curve x2 sin3ty2 cos3t and z8t at any time t0 is

Question: The solution of the complex number 32i2 i is

Question: Evaluate eta 43

Question: Evaluate beta 43

Question: Given that z1r1 cos 1i sin 1 and z2r2 cos 2i sin 2 evaluate z1 z2

Answer:r1 r2 cos  1  2 i sin 1 2

Question: Find the work done in moving an object along a vector r3i2j 5k if the applied force is  F2i j k