Giá trị cực đại của hàm số $y={{x}^{3}}+3{{x}^{2}}-5x-7$là:

Tìm tất cả các giá trị của tham số thực m để hàm số $f\left( x \right)=\frac{{{x}^{2}}-mx+1}{{{x}^{2}}+x+1}$đồng biến trên đoạn $\left[ 10;28 \right]$

Hàm số $y=\left( m-3 \right){{x}^{2}}-2m{{x}^{2}}+3$không có cực trị khi:

Đâu là hàm số đồng biến trên đoạn $\left[ 2;5 \right]$?

Hàm số $y=\frac{2x-1}{x-1}$luôn:

Một vật rơi tự do với phương trình chuyển động $S=\frac{1}{2}g{{t}^{2}}$, trong đó $g=9,8m/{{s}^{2}}$và t tính bằng giây (s). Vận tốc của vật tại thời điểm $t=5s$bằng:

Giá trị lớn nhất của hàm số $f\left( x \right)=\frac{\ln x}{x}$trên đoạn $\left[ 1;3 \right]$là:

Calculate quickly : $A=\frac{2004\times 37+2004+2\times 2004+2004\times 59+2004}{324\times 321-201\times 324-324\times 101-18\times 324}$

( Write the result as a/b )

There are 45 workers to do a job together.They will complete the job in 10 days. After doing in 4 days together, 15 workers is transfered to do other job. How many days do the others workers continue to complete the job ?

Find two digits a and b such that : $\frac{1}{3}=\frac{1}{a}+\frac{1}{b}$

There are three class : 4A ; 4B ; 4C , they plant tree. The number trees of 4A and 4B is 41. The number trees of 4B and 4C is 43.The number trees of 4C and 4A is 42. How many trees does each class plant ?

The average of the first number and the second number is 39 . The average of the second number and the third number is 30. The average of the first number and the third number is 36. Find three numbers ?

The perimeter of a rectangle is 784m. Such that if writing digit 2 into before the width, it will be the length. Find the area of the rectangle ?

Calculate quickly : A = $\frac{1}{2}+\frac{5}{6}+\frac{11}{12}+\frac{19}{20}+\frac{29}{30}+\frac{41}{42}+\frac{55}{56}+\frac{71}{72}+\frac{89}{90}$

( Write the result as a/b )

Given the expression: S = $\frac{1}{11}+\frac{1}{12}+\frac{1}{13}+\frac{1}{14}+\frac{1}{15}+...+\frac{1}{20}$

Compare S and $\frac{1}{2}$? ( Fill the suitable sign : > ; < ; = )

Given the fraction : M = $\frac{1+2+...+9}{11+12+...+19}$ . To the value of the fraction is no change, What are numbers deleted in the numerator and the denominator ?

A is 2004 – digit natural number. A divide by 9 ; B is the sum of all digits of A; C is the sum of all digits of B ; D is the sum of all digits of C. Find D ?

Find the natural number such that take $\frac{1}{3}$ of that number divides by $\frac{1}{17}$ of that number, the remainder is 100 ? )

Find the ones digits of the following product  : $2\times 2\times 2\times ...\times 2\times 2\times 2$

( there are 23 factors 2 )

Given 7 fractions : $\frac{7}{5};\frac{4}{13};\frac{2}{13};\frac{1}{18};\frac{7}{3};\frac{4}{5};\frac{7}{4}$ . Nam chooses two fractions that the sum of them is greatest value . Long chooses two fractions that the sum of them is smallest value. Find the sum of four fractions that Nam and Long choose ? ( Write the result as a/b )

Mary has some of marbles that is less than 80 marbles,such that the number of red marbles is 5 times the number of green marbles. If Mary has 3 marbles more , the number of red marbles is 4 times the number of green marbles. How many green marbles does Mary have at first ?

Two people finish a job in 12 hours. The first person needs 10 hours to finish 2/3 the job. How many hours does the second person need to finish the other 1/3?

Two people finish a job in 48 working days. Person A takes a break after 63 days of working, while person B continues to work in the next 28 days, then they finish the job. How long does person A need to finish the job by himself?

Two worker finish a job in 16 hourss. If the first person works in 3 hours, the second person works in 6 hours then they both finish ¼ the job. How long does each worker need to finish the job?

Two workers paint doors on a house in 2 days. The first person works in 4 days then take a break while the second person continues to paint in 1 then they fisish. How many days does each worker need to fisnish the job working seperately?