Approximate the area under the curve and above the x-axis using n rectangles. Let the height of each rectangle be given by the value of the function at the right side of the rectangle.y = 2x2 + x + 3 from x = -2 to x = 1; n = 6
A. 7
B. 9
C. 11
D. 13
Answer: D
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A function f(x), a point x0, the limit of f(x) as x approaches x0, and a positive number ? is given. Find a number such that for all x, 0 <
< ? ?
< ?.f(x) = -9x - 6, L = -33, x0 = 3, and ? = 0.01
A. -0.003333 B. 0.000556 C. 0.001111 D. 0.002222
Provide an appropriate response. List the domain and range for the equation y = 2x2+2.
A. domain = [2, + ?), range = [2 + ?) B. domain = [2 + ?), range = (-?, + ?) C. domain = (-?, + ?), range = [2 + ?) D. domain = (-?, + ?), range = (-?, + ?)
Determine whether the equation defines y as a function of x.x =y3
A. Yes B. No
In which quadrant must the terminal side of ? lie if sin ? and cot ? are to have the different sign? ?
A. IV B. II and III C. I and IV D. I and II E. III and IV