Determine whether the given equation is linear or nonlinear.y = 3x2 + 6
A. nonlinear
B. linear
Answer: A
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Use power series operations to find the Taylor series at x = 0 for the given function.x5 cos ?x
A. 
B. 
C. 
D. 
Solve the problem.In thermodynamics, the differential form of the internal energy of a system is dU = T dS - P dV, where U is the internal energy, T is the temperature, S is the entropy, P is the pressure, and V is the volume of the system. The First Law of Thermodynamics asserts that dU is an exact differential. Using this information, justify the thermodynamic relation 
= - 
.
What will be an ideal response?
Use the given information about the polynomial function f(x) to write its complete factored form.Degree 3; zeros: 
, 4, -1; leading coefficient = 1
A. f(x) = 
(x - 4)(x - 1)
B. f(x) = 
(x + 4)(x - 1)
C. f(x) = 
(x + 4)(x + 1)
D. f(x) = 
(x - 4)(x + 1)
Write the fraction as a whole or mixed number.
A. 5
B. 6
C. 6
D. 7