If the cubic root 288A is an integer, then the largest negative integer a = () and the smallest positive integer a = ()

If the cubic root 288A is an integer, then the largest negative integer a = () and the smallest positive integer a = ()


288a=2³×6²a
therefore
The largest negative integer a = (- 6), the smallest positive integer a = (6)



If the cubic root 400A is an integer, what is the largest negative integer a?


-20
400a=8*50a=2^3*5^2*2a
5*2^2=20
a=-20



The fruit shop sold 4 cases of apples, 15kg each. Apples accounted for 5 / 12 of the total fruit sold, and pears accounted for 1 / 3 of the total fruit sold. How many kg of pears were sold?


Let the total number of fruits sold be m kg
4 (case) * 15 (kg) = (5 / 12) M
Calculate the total number of fruits M = 144 kg
So the pear is (1 / 3) * m = (1 / 3) * 144 = 48kg



If 1 equals 4 roses, 2 equals 8, 3 equals 16, how much is 4?


Suppose 1 equals 4 roses, 2 equals the square of 2, 2 equals 8 roses, 2 equals the third power, 3 equals 16 roses, 2 equals the fourth power, 4 equals 32 roses, 2 equals the fifth power



In the circuit shown in the figure, it is known that I1 = 2A, I2 = 3A, i5 = 9A


I1+I2+I4=I5
I 4 = 4A
I6=I4+I2=7A



Xiaogang's height is 135 cm, and Xiaoqiang is one third of Xiaogang's. how many cm is Xiaoqiang's height


Xiaoqiang's height = Xiaogang's height × 1 / 3 = 45



Sequence summation 1,1 / 2,2 / 2,1 / 3,2 / 3,3 / 3,1 / 4,2 / 4,3 / 4,4 / 4 1/100,2/100,…… 99/100,100/100


(1+2+…… +n)/n=(n+1)/2
2 / 2 + 3 / 2 + 4 / 2 + +101/2=(2+101)*100/4=2575



What is the rank of multiplication of two matrices in linear algebra?
 


If matrix A of order 4, R (a) = 3 = 4-1, then R (a *) = 1;
If matrix B of order 4, R (b) = 4, then R (b *) = 4, that is, full rank;
R (a * b *) = R (a *) = 1



The school rented several boats for students to row in the spring outing. If each boat took three people, there would be one more boat. If each boat took five people, there would be 19 more people
Concrete formula


Let X be the number of ships, y be the number of seats on each ship, and Z be the total number of students. Two expressions can be obtained from the title: (x-1) * 3 = Z, ① 5x = XY - 19, ② from the conversion of ②, x = 19 / (Y - 5) the number of ships x must be a positive integer, so how much can 19 be divided into positive integers? Only 1, so



If f (1) = 0 and f '(1) exists, find LIM (f (sin2x + cosx) / (e ^ x-1) TaNx) (x tends to 0, where sin2x is sin square x) on line, etc


=Lim [f (sin ^ 2x + cosx) / x ^ 2] (substitution of equivalent infinitesimal) because f '(1) exists, then f (1 + x) - f (1) = f' (1) x + O (x), that is, f [1 + (sin ^ 2X + cosx-1)] = f '(1) (sin ^ 2x + cosx-1) + O (sin ^ 2x + cosx-1) = f' (1) (sin ^ 2x + cosx-1) + O (x ^ 2), so Lim [f (sin ^ 2x + cosx) / x ^ 2] = Lim {