Find an equation of the circle with the given center and radius.Center (4, 0), radius 
A. (x - 4)2 + y2 = 14
B. (x + 4)2 + y2 = 14
C. x2 + (y + 4)2 = 196
D. x2 + (y - 4)2 = 196
Answer: A
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Solve the problem.Solve for a: 
A. a = 
B. a = 4
C. a = 2
D. a = 
Set up an integral for the length of the curve.y = 
, 
? x ? 
A. 
B. 
C. 
D. 
A hypothesis test is to be performed. Describe the two possible outcomes of the test using the context of the given situation.In a clinical study of an arthritis medication, 28% of those taking the placebo reported improvement. The manufacturer of the medication claims that among those taking the medication, the proportion reporting improvement will be higher than this.The hypotheses are as follows:Null hypothesis: proportion reporting improvement = 28% Alternative hypothesis: proportion reporting improvement > 28%
A. Rejecting the null hypothesis means there is evidence that the proportion reporting improvement is not equal to 28% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion reporting improvement is greater than 28% B. Rejecting the null hypothesis means there is evidence that the proportion reporting improvement is greater than 28% Failing to reject the null hypothesis means there is insufficient evidence to conclude that the proportion reporting improvement is greater than 28% C. Rejecting the alternative hypothesis means there is evidence that the proportion reporting improvement is equal to 28% Accepting the null hypothesis means there is evidence to conclude that the proportion reporting improvement is equal to 28% D. Rejecting the null hypothesis means there is evidence that the proportion reporting improvement is greater than 28% Accepting the null hypothesis means there is evidence to conclude that the proportion reporting improvement is equal to 28%
Give an appropriate answer.Given the function f(x, y, z) and the positive number ? as in the formal definition of a limit, find a positive number ? as in the definition that insures 
< ?.f(x, y, z) = x + y - z ; ? = 0.03
What will be an ideal response?