Solve the problem.Following the birth of a child, a parent wants to make an initial investment P0 that will grow to 
by the child's 20th birthday. Interest is compounded continuously at 7%. What should the initial investment be?
A. $13,750
B. $8137.7
C. $7730.81
D. $133,821.6
Answer: B
Mathematics
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Solve the differential equation.D2y + 14 Dy + 49y = 0
A. y = (C1 + C2x)e-7x B. y = C1e-7x + C2e7x C. y = (C1 + C2x)e7x D. y = Ce-7x
Mathematics
Find the work done by F over the curve in the direction of increasing t.F = 6zi + 4xj + 10yk; C: r(t) = ti + tj + tk, 0 ? t ? 1
A. W = 10
B. W = 40
C. W = 
D. W = 20
Mathematics
Find the Taylor series generated by f at x = a.f(x) = x3 + 8x2 + 5x - 9, a = -2
A. (x + 2)3 + 2(x + 2)2 - 25(x + 2) + 5 B. (x + 2)3 - 2(x + 2)2 - 25(x + 2) - 5 C. (x + 2)3 - 2(x + 2)2 - 15(x + 2) - 5 D. (x + 2)3 + 2(x + 2)2 - 15(x + 2) + 5
Mathematics
Establish the identity.cot3x = cot x (csc2 x - 1)
What will be an ideal response?
Mathematics