1. Find the equation of the line tangent to 3. Find the value of c that satisfies the MVTD for y =5x' - 20x + 10 at x = 2. f(x)=x2 -6x +5 on the interval [3, 8]. (A) y- 10=10(x-2) (A) 5 (B) y + 10= 40(x +2) 11 (B) (C) y-10= 40(x -2) (C) 11 (D) y -10= 90(x + 2) (D) There is no value of c. 2. Find the equation of the line normal to y = 4sec(2x) 4. Find the value of c that satisfies the MVTD for at X = f ( x) = - 2 on the interval [2, 6]. x - 4 (A) y+4V 2 = 8V2 x- (A) -2 (B) 6 (B) y-4V2 =-8V2 x- (C) 8 00 17 (D There is no value of c. (C) y+ 4V/2 =- x+ 8V/2 (D) y-4V2= X - 8v25 A rectangle has its base on the x-axis and its two At what value(s) of x does the curve upper corners on the semicircle y = v200 - x2. y= x' -12x3 +120 have a point (or points) of Find the value of x that maximizes the area of the inflection? rectangle. (A) (4, -8) (B) (0, 120) (A) O (C) (8, -136) (B) 5 (D) (-4, -136) (C) 10 (D) V200 9 On what interval is the curve y = sinx + 3 cos.x An open rectangular box with a square base is to decreasing on [0, it]? have a volume of 108 in'. Find the dimensions of the (A) box that minimize its surface area (base by height). 0 , 2 (A) 3 in. by 6 in. (B) 6 in. by 6 in. (B) (C) 3 in. by 3 in. (D) 6 in. by 3 in. (C) . Find the coordinates of the maximum and minimum (if they exist) of y= x3 -3x -24x +6. (D) The function is always increasing. Minimum Maximum (A) (-4, -10) (2, 46) (B) (4, -74) (-2, 34) (C) (1, -20) None (D) (1, -20) (2, 46)