Find the domain of the given function f and find where it is increasing and decreasing, and also where it is concave upward and where it is concave downward. Identify all extreme values and points of inflection. Then sketch the graph of y = f(x). f(x) = ex - x2
What will be an ideal response?
Domain = (-?, ?)
Increasing on (-?, ?)
No extreme values
Concave down on (-?, ln 2) , concave up on (ln 2, ?)
Point of inflection at (ln 2, 2 - (ln 2)2)
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If possible, solve each system by an algebraic method (substitution or addition method). Otherwise, state that the problem has no solution or an infinite number of solutions. x + 4y = 112x + 3y = 2
A. (5, 5) B. (4, -5) C. (-6, 5) D. (-5, 4)
Solve the equation.11x2 = 4x
A. 0, 
B. - 
, 0
C. - 
, 0
D. 0, 
Solve the problem.In a shipment of 11 CD players, two are defective. Find the probability that a sample of 2 CD players will not contain any that are defective.
A. 
B. 
C. 
D. 
Form a polynomial f(x) with real coefficients having the given degree and zeros.Degree: 4; zeros: -1, 2, and 1 - 2i.
A. f(x) = x4 - 3x3 - 3x2 + 7x + 6 B. f(x) = x4 - x3 + 3x2 - 5x - 10 C. f(x) = x4 - x3 + x2 + 9x - 10 D. f(x) = x4 - 3x3 + 5x2 - x - 10