Question: The gamma function is defined by Gamma xint0infty tx 1 e t dt evaluate Gamma x1
Answer:A: xGammax
Question: Evaluate Gamma 5
Answer:D: 24
Question: The Beta function of mn is defined as
Question: Evaluate Gamma frac32
Answer:B: frac43pi
Answer:A: int01 xm 11 xn 1 dx
Question: Use the Gamma function to evaluate int01x41 x3 dx
Question: Evaluate fracGamma3Gammafrac52Gamma55
Answer:D: frac710
Answer:C: frac110
Answer:A: yxc1exc2e2x
Question: Use the result in question 4 to evaluate beta 43
Answer:A: frac160
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
Answer:C: y5 2e 3x
Question: Solve the initial value problen y 2yy0 y1y10
Answer:D: y00
Answer:B: 4y 6xz
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
Answer:C: x 1 y2
Question: Find the polar form of Complex number 22isqrt3
Answer:A: 4cos 600i sin 600
Answer:B: r1 r2 cos 1 2 i sin 1 2
Question: Find the fifth roots of 1
Answer:A: fraccos 9pi5i fracsin 9pi5
Question: Find the angle between A2i2j k and B6i 3j2k
Answer:B: 790
Question: Determine the value a so that A2iajk and B4i 2j 2k are perpendicular
Answer:C: 3
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
Answer:A: 199
Question: Find the work done in moving an object along a vector r3i2j 5k if the applied force is F2i j k
Answer:D: 9
Answer:C: 35
Question: If A2i 3j k and Bi4j 2k then Atimes B is
Answer:A: 10i3j11k
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
Answer:A: 20i 6j 22k
Question: The solution of 2i 3jcdot ij ktimes 3i k is
Answer:A: 4
Question: Given Ai sint j sintk the value of leftfracd2 Adt2 is
Answer:A: 1
Answer:A: 4i 2j
Answer:A: 8i
Question: The magnitude of the velocity of a particle which moves along the curve x2 sin3ty2 cos3t and z8t at any time t0 is
Answer:A: 10
Question: The magnitude of the acceleration of a particle which moves along the curve x2 sin3ty2 cos3t and z8t at any time t0 is
Answer:A: 18
Question: The solution of the complex number 32i2 i is
Question: Evaluate eta 43
Answer:4y 6xz
Answer:frac160
Question: Evaluate beta 43
Answer:A: frac160
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
Answer:9
Question: Find the Laplacian of the function phi xyz2x2 y xz3
No comments