5 The total area of the region bounded by the graph of y = xv1-x2 and the x - axis is A) B) - VZ WIN E) 1 6 The average (mean) value of tan x on the interval form x = 0 to x = " is 3 A) In 2 B ) In2 C) In - D) 2 E) 2 7 If f ( x ) = 2x - 1 for x $1 then for x > 1 A) f(x) is not continuous at x = 1 B) f(x) is continuous at x = 1 but f' (1) does not exist C) f' (1) exists and equals 1 D)f' (1 ) = 2 E) lim f (x) does not exist 8 x -2 lim is A ) -00 B) -1 C) 1 D) Co E) nonexistent *- 2 x - 2 9 An integral for the area for the region bounded by y = 2x - x and the x-axis is: 1 ( 2x - * ) dx B) ] (2x - x 7 ) dx ") / ( 2 x - x ) dx D) |[(2x ) - ( x7 ) ; ]dx E) none of these 10 (8()dt -[ 8(1) di is equal to the constant A)0 B)b-a C)a-b D) J g(t)di E) g(b) - g(a) 11 If c is the value defined by the Mean Value Theorem, then for f(x) = e* - x2 on [0,1], c = A) -0.248 B) 0.351 C) 0.500 D) 0.693 E) 0.718 12 If y is a differentiable function of x, then the slope of the curve of xy -2y+4y' =6 at the point where y = 1 is. 5 A) 1 11 B) 18 26 C) 18 D) 18 E) 2 Calculus Worksheet #63 Final Exam Review 13 A 26-ft ladder leans against a building so that its foot moves away from the building at the rate of 3 ft/sec. When the foot of the ladder is 10 from the building , the top is moving down at the rate of r ft/sec, where r is. A) - B) ~ C) ~ D) E) UilA