# MTH 282 TMA Questions & Answers

` Question: The gamma function is defined by Gamma xint0infty tx 1 e t dt evaluate Gamma x1Answer:A: xGammaxQuestion: Evaluate Gamma 5Answer:D: 24Question: The Beta function of mn is defined asQuestion: Evaluate Gamma  frac32Answer:B: frac43piAnswer:A: int01 xm 11 xn 1 dxQuestion: Use the Gamma function to evaluate int01x41 x3 dxQuestion: Evaluate fracGamma3Gammafrac52Gamma55Answer:D: frac710Answer:C: frac110Answer:A: yxc1exc2e2xQuestion: Use the result in question 4 to evaluate beta 43Answer:A: frac160Question: Solve the differential equation y 3y2y0Question:  Find the Laplacian of the function phi xyz2x2 y xz3Question: Solve the initial value problen y3y0 y03 y06Answer:C: y5 2e 3xQuestion: Solve the initial value problen y 2yy0 y1y10Answer:D: y00Answer:B: 4y 6xzQuestion:  Given that z1r1 cos 1i sin 1 and z2r2 cos 2i sin 2 evaluate z1 z2Question: Find real number x and y such that 3x2iy ix5y75iAnswer:C: x 1 y2Question: Find the polar form of Complex number 22isqrt3Answer:A: 4cos 600i sin 600 Answer:B: r1 r2 cos  1  2 i sin 1 2Question: Find the fifth roots of  1Answer:A: fraccos 9pi5i fracsin 9pi5Question: Find the angle between A2i2j k  and B6i 3j2kAnswer:B:  790Question: Determine the value a so that A2iajk and B4i 2j 2k are perpendicularAnswer:C: 3Question: Find an equation for the plane perpendicular to the vector A2i3j6k and passing through the terminal point of the vector Bi5j3kQuestion: Find the projection of the vector Ai 2jk on the vector B4i 4j7kAnswer:A: 199Question:  Find the work done in moving an object along a vector r3i2j 5k if the applied force is  F2i j kAnswer:D: 9Answer:C: 35Question: If A2i 3j k and Bi4j 2k then Atimes B is Answer:A: 10i3j11kQuestion: 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 22kQuestion: The solution of  2i 3jcdot ij ktimes 3i k is Answer:A: 4Question: Given Ai sint j sintk the value of leftfracd2 Adt2 is Answer:A: 1Answer:A: 4i 2jAnswer:A: 8iQuestion:  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: 10Question: 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: 18Question: The solution of the complex number 32i2 i is Question: Evaluate eta 43Answer:4y 6xzAnswer:frac160Question: Evaluate beta 43Answer:A: frac160Question: Given that z1r1 cos 1i sin 1 and z2r2 cos 2i sin 2 evaluate z1 z2Answer:r1 r2 cos  1  2 i sin 1 2Question: Find the work done in moving an object along a vector r3i2j 5k if the applied force is  F2i j kAnswer:9Question: Find the Laplacian of the function phi xyz2x2 y xz3` Upload Your Song