Provide an appropriate response.Over what intervals of x-values, if any, does the function y =
decrease as x increases? For what values of x, if any, is y ' negative? How are your answers related?
What will be an ideal response?
The function y = decreases (as x increases) over no intervals of x-values. Its derivative y ' = x4 is negative for no values of x. The function decreases (as x increases) wherever its derivative is negative.
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Solve the problem.Evaluate at t = 3? for the function w(x, y) = x2 - y2 - 10x; x = cost, y = sin t.
A. -12 B. -14 C. 0 D. -8
Write the phrase as a mathematical expression. Use x as the variable.3 times a number, added to -6, plus 5 times the sum of 4 times the number and 9
A. 3(-6 + x) + 5(4x + 9) B. 3x - 6 + 5(4 + 9x) C. 3x + (-6) + 5(4x + 9) D. 3(-6 + x) + 5(4 + 9x)
Evaluate the expression.(-10)2
A. 100 B. 20 C. -20 D. -100
Use the quotient rule to divide and simplify.
A. 28xy
B. 2x2y
C. 4x2y
D. 2x4y2