Bài tập CALCULUS 07

Created by T Madas Question 24 (**+) ( ) y = x 6x − x , x ≥ By showing all steps in the workings, find an expression for  y dx C1R , x3 − x + C Question 25 (**+) Find the value of the constant a if  a a − x dx = −5 C2Q , a = Created by T Madas Created by T Madas Question 26 (**+) y A ( −1,18) y = 18 − x − x R O B ( 2,0 ) x The figure above shows the curve C with equation y = 18 − x − x The curve crosses the x axis at B ( 2,0 ) and the point A ( −1,18) lies on C The shaded region R is bounded by the curve and the straight line segment AB Find the area of the shaded region C2I , area = 18.9 Created by T Madas Created by T Madas Question 27 (**+) 1 − , x∈», x > x x y= Show that the value of d2y dx where x = , is 128 proof Question 28 (**+) Find the value of the constant k if  x + kx dx = MP1-Q , k = −11 Created by T Madas