Solve the problem.Find the sum of the series .[Hint: Write the series as 1 + = 1 + .]

A. 4e - 5
B. e + 3
C. 3(e - 1)
D. 2e


Answer: D

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = 10xi + 10yj + 10zk , S is the surface of the sphere x2 + y2 + z2 = 1 in the first octant, direction away from the origin

A. 0
B. ?
C. ?
D. 5?

Mathematics

For the initial value problem, compute the first two approximations u1 and u2 given by Euler's method using the given time step.y'(t) = -y, y(0) = -4; ?t = 0.3

A. u1 = -2.8; u2 = -1.96 B. u1 = -1; u2 = -2.59 C. u1 = -2.8; u2 = -2.8 D. u1 = -4; u2 = -2.8

Mathematics

Solve the equation by using the square root property.(2s + 8)2 = 25

A.
B.
C.
D.

Mathematics

Multiply mentally.(t + 2)(t2 - 2t + 4)

A. t3 + 8 B. t3 - 8 C. t3 - 4t2 - 8 D. t3 + 4t2 + 8

Mathematics