Bài tập CALCULUS 50

Created by T Madas Question 178 (****) y = q − 2x A B y = p + 10 x − x C The figure above shows a curve and a straight line with respective equations y = p + 10 x − x and y = q − 2x , where p and q are constants The curve meets the straight line at the points A and C , and the point B lies on the curve so that AB is parallel to the x axis a) Given the coordinates of C are (10,0 ) find … i … the value of p and the value of q ii … the coordinates of A and B a) Determine the value of the area of the finite region bounded by the curve and the straight line segment AB SYN-K , p = , q = 20 , A ( 2,16 ) , B ( 8,16 ) area = 36 Created by T Madas Created by T Madas Question 179 (****) y = + x + 5x , x ≥ Show clearly that y − x ) dx = 36 x + Px (  + 48 x x + Qx + Rx3 + C , where P , Q and R are constants to be found, and C is an arbitrary constant P = 48 , Q = 24 , R = Created by T Madas Created by T Madas Question 180 (****) y= 2  −3 , x > x  x  Find the range of values of x for which y is decreasing SYN-I , < x < Created by T Madas