Solve the problem.A child on a swing sweeps out a distance of 20 ft on the first pass. If she is allowed to continue swinging until she stops, and if on each pass she sweeps out a distance  of the previous pass, how far does the child travel?

A. 60 ft
B. 80 ft
C. 40 ft
D. 100 ft


Answer: B

Mathematics

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Find the first three nonzero terms of the Maclaurin expansion of the given function.f(x) = sin2 x

A. x2 - x4 + x6 - ...
B. x2 - 2x4 + x6 - ...
C. x2 + x4 + x6 - ...
D. x2 + 8x4 + 32x6 - ...

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Identify the correct distance between the following two points on the number line. ? - 12 and 10 ?

A. 10 B. 23 C. 22 D. 12 E. 21

Mathematics

Find the particular solution of the differential equation.x  + 5y = x2; y = 12 when x = 2

A. y =  + 7x5
B. y =  - 
C. y =  + 
D. y =  + 

Mathematics

Give the maximum number of zeros the polynomial function may have. Use Descarte's Rule of Signs to determine how many positive and how many negative zeros it may have.f(x) = x5 + x4 + x2 + x + 6

A. 5; 0 positive zeros; 3 or 1 negative zeros B. 5; 0 positive zeros; 1 negative zero C. 5; 0 positive zeros; 2 or 0 negative zeros D. 5; 0 positive zeros; 0 negative zeros

Mathematics