Perform the indicated operation.(4a5 - 3a3) + (8a5 + 9a3)

A. 12a10 + 6a6
B. 18a8
C. 18a16
D. 12a5 + 6a3


Answer: D

Mathematics

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Evaluate the integral by changing the order of integration in an appropriate way.

A.
B.
C. 1 - sin 9
D. 1 + cos 9

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Use the method of variation of parameters to solve the differential equation.y'' + y = sec x tan x

A. y = C1 cos x + C2 sin x - sin x(x + tan x) + sin x ln|csc x| B. y = C1 cos x + C2 sin x + sin x(x - tan x) + cos x ln|sec x| C. y = C1 cos x + C2 sin x + cos x(x - tan x) + sin x ln|sec x| D. y = C1 cos x + C2 sin x + cos x(x - tan x) + cos x ln|sec x|

Mathematics

Construct a truth table for the statement.~(p ? q) ? ~(p ? q)

A.

TT  T
T F   T
F T   T
F F   T
B.
TT  F
T F   T
F T   T
F F   T
C.
TT  T
T F   F
F T   F
F F   T
D.
TT F
T F   F
F T   F
F F   T

Mathematics

For the polynomial function find the following: (i) Degree of the polynomial; (ii) All x intercepts; (iii) The y intercept.f(x) = (x6 + 7)(x10 + 9)

A. (i) 60 (ii) 7, 9 (iii) -63 B. (i) 16 (ii) none (iii) 63 C. (i) 16 (ii) 7, 9 (iii) 63 D. (i) 60 (ii) none (iii) -63

Mathematics