Provide an appropriate response.Consider the inequality x2 + y2 < 3x + y.(a) Find an equivalent inequality in polar coordinates.(b) Use an integral with respect to ? to find the area of the region defined by the inequality.(c) Find the length of the curve that forms the boundary of the region defined by the inequality.(d) Find the slope of this curve at the point (2, 2).
What will be an ideal response?
(a) r < 3 cos ? + sin ?
(b) 
(c) ?
(d) - 
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Use logarithmic differentiation to find the derivative of y.y = (x3 + 1)3(x - 1)2x3
A. (x3 + 1)3(x - 1)2x3(3ln(x3 + 1) + 2ln(x - 1) + 3ln x)
B. (x3 + 1)3(x - 1)2x3
C. (x3 + 1)3(x - 1)2x3
D. 
+ 
+ 
An algebraic expression is given. Use the expression to answer the following questions. a) How many terms are there in the algebraic expression? b) What is the numerical coefficient of the first term? c) What is the constant term? d) Does the algebraic expression contain like terms? If so, what are the like terms?7y + 1 + 8x
A. a) 3 b) 7 c) 1 d) yes, 7y and 8x B. a) 3 b) 7 c) 1 d) no C. a) 3 b) 8 c) 1 d) no D. a) 2 b) 7 c) 1 d) no
Write the equation of the axis of symmetry.f(x) = -5x2 - 10x - 9
A. x = 1 B. x = -4 C. x = -1 D. x = 4
Find the y- and x-intercepts for the equation. Then graph the equation.x + y = -7
A. (0, -7), (-7, 0)
B. (0, 7), (7, 0)
C. (0, -7), (7, 0)
D. (0, 7), (-7, 0)