3-4-1

If writing process is bothering you,

it's ok to write only correct answer in each question.

1. Find the area of the region bounded by y = =, x = 1, c = 2, and y = -1. 1 O 3 + In(2) O In (2) O In(2) - 1 O 1 + In(2) 2. When integrating with respect to y, what is different about the bounds of integration? None of these are true. There is no difference whatsoever. O The bounds use the y-coordinate of the point in question instead of the r-coordinate. You cannot find the definite integral when integrating with respect to y, only when you integrate with respect to c. 3. What is the area bound between the curve f (x) = x2 - 4 and the x-axis? If your answer is not a whole number, enter it as a fraction in lowest terms. Preview will appear here... Enter math expression here 4. What is the area of the region bounded by the curves y = r - randy = 7x - x3? If your answer is not a whole number, enter it as a fraction in lowest terms. Preview will appear here... Enter math expression here 5. Sketch the region enclosed by the given curves and find its area. Arty' = 12, 0 = y If your answer is not a whole number, enter it as a fraction in lowest terms. Preview will appear here... Enter math expression here6. Sketch the region enclosed by the given curves and find its area. y = (x- 1) /2,x- y=1 If your answer is not a whole number, enter it as a fraction in lowest terms. Preview will appear here... Enter math expression here 7. Find the area of the region enclosed by the curves y = cos c, y = 1 - cos c, 0 5 x 5 x O v3 + 3 O 2v/3+ O V3 O 2v/3 - 8. True or false? If f (a) and g(x) are any two continuous functions on [a, b], then the area between the graphs of f(x) and g(x) is given by / If(x) - g(x)| dx. O True False 9. Suppose the region D is enclosed by the graphs of x = f(y) and a = g(y) on the interval c f (x) > g(x) for all x in [a, b], then the area of the region between the graphs of f and g on [a, b] is given by - fe [f(x) - g(x)] dx. O True False