Express the sum or difference as a product of sines and/or cosines.cos(4?) - cos(6?)
A. -2 cos(5?) sin ?
B. -2 sin(5?) sin ?
C. 2 sin(5?) sin ?
D. cos(-2?)
Answer: C
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Solve the problem.Suppose that a family has 5 children and that the probability of having a girl is 
. What is the probability of having no more than three boys?
A. 0.5000 B. 0.3125 C. 0.8125 D. 0.9688
State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.f(x) = 
A. Yes; degree 1 B. No; x is a negative term C. No; it is a ratio D. Yes; degree 4
Find functions f(x) and g(x) such that h(x) = (f ? g)(x).h(x) = (x1/2 + 1)3 + 4(x1/2 + 1) 2 - 10
A. f(x) = (x + 1)3 + 4x2 - 10, g(x) = x1/2 B. f(x) = x1/2 + 1, g(x) = x3 + 4x2 - 10 C. f(x) = (x + 1)3 + 4(x + 1) 2 - 10, g(x) = x1/2 + 1 D. f(x) = x3 + 4x2 - 10, g(x) = x1/2 + 1
Suppose that the demand for a product depends on the price p according to src="https://sciemce.com/media/3/ppg__cognero__Chapter_09_Derivatives__media__dd831c2b-79e2-442b-b781-27f760f89c85.PNG" class="wirisformula" align="middle" style="vertical-align: middle;" data-wiris-created="true" varid="variable_id_field" variablename="impvar_bf25aa0b4b594488b29e09482" />.
?
A. -0.32. If price increases by $1, the demand will decrease approximately 0.32 units.
B. 0.32. If price increases by $1, the demand will increase approximately 0.32 units.
C. -0.64. If price increases by $1, the demand will decrease approximately 0.64 units.
D. -49.84. If price increases by $1, the demand will increase approximately 49.84 units.
E. 0.64. If price increases by $1, the demand will decrease approximately 0.64 units.
, 
, where p is in dollars. Find and explain the meaning of the instantaneous rate of change of demand with respect to price when