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MTH 282 TMA Questions & Answers

1 0 107 - MTH 282 TMA Questions & Answers


1 0 107 - MTH 282 TMA Questions & Answers





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



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