Solve the differential equation.y'' - 4y' + 29y = 0
A. y = e-2x(C1 cos 5x + C2 sin 5x)
B. y = ex(C1 cos 2x + C2 sin 5x)
C. y = e2x(C1 cos 5x + C2 sin 5x)
D. y = C1 e2x + C2 e5x
Answer: C
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Use power series operations to find the Taylor series at x = 0 for the given function.f(x) = 
A. 
B. 
C. 
D. 
Solve the problem.When water runs out of a hole in a cylindrical container, the height of the water in the container can often be modeled by a quadratic function. Assume that the height of the water in a particular metal can with a small hole can be modeled by 
where x is the time (sec) and h is the height (cm). Use the quadratic formula to estimate the time when the height is 5 cm. Round your answer to the nearest second.
A. 24 sec B. 31 sec C. 30 sec D. 28 sec
Use the square root method to solve the equation. 8z2 - 1568 = 0
A. ± 14 B. 786 C. 14 D. ± 15
Supply missing statements and missing reasons for the following proof.Given: Rectangle MNPQ with diagonals 
and 
Prove: 
S1. R1.S2. 
and 
are rt. 
R2.S3. 
R3.S4. R4. The diagonals of a rectangle are congruent.S5. R5.
What will be an ideal response?