- Trang chủ >>
- Đề thi >>
- Đề thi lớp 1
Bài tập CALCULUS 91
Bạn đang xem bản rút gọn của tài liệu. Xem và tải ngay bản đầy đủ của tài liệu tại đây (613.58 KB, 3 trang )
Created by T. Madas
Question 300
(*****)
It is given that
1
k
(
3 k + 3x
kx3
)
2
dx = a − k ,
where a and k are integers.
Use algebra to determine the value of a .
SYN-T , a = 7
Created by T. Madas
Created by T. Madas
Question 301
(*****)
A cubic curve C has equation
y = ax 3 + bx ,
x∈» ,
where a and b are non zero constants with a > 0 .
The curve C ′ is the reflection of C about the straight line with equation y = x .
The straight line with equation y = − x is a tangent to both C and C ′ at the origin O .
Given that the finite region bounded by C and C ′ has area 9 , find the value of a .
SP-K , a = 4
9
Created by T. Madas
Created by T. Madas
Question 302
(*****)
A rectangle ABCD is such so that DC = 6 and DA = 4 .
The side DA is extended to the point E and the side DC is extended to the point F
so that EBF is a straight line.
Determine, with full justification, the minimum area of the triangle EDF .
MP1-T , Amin = 48
Created by T. Madas
