How to integrate xex?
Solution: We have to find out ∫xex dx. We can make use of integration by parts. Take x = u... View Article
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The maximum value of 3×3 determinant whose elements are 0, 1.
Solution: Let D = \(\begin{array}{l}\begin{vmatrix}0 & 1 & 1 \\1 & 0 & 1\\1 &1 & 0\\\end{vmatrix}\end{array} \) = 0... View Article
Evaluate 1211.04 root
Solution: We find the square root of 1211.04 using the long division method. Step 1: Place a bar over every... View Article
Suppose x1 and x2 are the point of maximum and the point of minimum respectively of the function f(x) = 2x3 – 9ax2 + 12a2x + 1 respectively, (a>0) then for the equality x12 = x2 to be true the value of a must be
(a) 0 (b) 2 (c) 1 (d) 1/4 Solution: Given f(x) = 2x3 – 9ax2 + 12a2x + 1 f’(x)... View Article
Find the prime factorisation of 735.
Solution: Prime factorisation is a way of expressing a number as a product of its prime factors. We can write... View Article
In a city 40% of the adults are illiterate while 85% of the children are literate If the ratio of the adults to that of the children is 2:3 then what percent of the population is literate?
Assume that, the number of adults and children are 2x and 3x respectively. From the given information, Literate Population =... View Article
Is 12 O’clock in the afternoon AM or PM?
Answer: AM (Ante-Meridiem) is a Latin term, used to indicate a 12-hour clock system before Noon. Also signifies before midday.... View Article
What does proportional relationship mean in math?
In Mathematics, the proportional relationship is defined as the relationship between two variables in which their ratios are equivalent. In... View Article
Sachin walks 20 km towards North. He turns left and walks 40 km. He again turns left and walks 20 km. Finally he moves 20 km after turning to the left. How far is he from his starting position?
According to the given information, the path formed is as follows: Hence, the required distance = (40 – 20) km... View Article
A man of height 1.5m sees the top of a tree and the angle of elevation of the top at his eye is 60°. Find the height of the tree if the distance of the man from the tree is 36m.
Given that, The distance of the man from the tree is 36 m. I.e., BC = DE = 36 m... View Article
What is the standard deviation of the data given below? 10, 28, 13, 18, 29, 30, 22, 23, 25, and 32
Given data: 10, 28, 13, 18, 29, 30, 22, 23, 25, 32. Here, the number of observations, n = 10... View Article
Choose the odd one out. (i) H (ii) Q (iii) T (iv) Z
Given letters: H, Q, T, ZLet us write the position numbers of these letters in the English alphabet.H = 8Q... View Article
Find the greatest number that exactly divides 513, 1134 and 1215.
Let us find the HCF of 513, 1134 and 1215.Prime factorization of 513 = 3 x 3 x 3 x... View Article
How many numbers are there from 1300 to 15300?
Number of numbers from 1300 to 15300 = 15300 – 1300 + 1 = 14001Therefore, there exist 14001 numbers from... View Article
What is 6/7 in decimals?
The decimal form of 6/7 is 0.8571… This can be done as follows:
What is the expanded form of 5.038?
Given number: 5.038The digit 5 is in the units place, so its place value is 5.The digit 0 is in... View Article
Find the point on the x-axis that is equidistant from (1, 2) and (3, -4).
Let A(1, 2) and B(3, -4) are the two points that are equidistant from P(x, 0).So, PA = PBSquaring on... View Article
What is 1.487 in terms of percentage?
To convert 1.487 to a percentage, multiply 1.487 by 100. 1.487 = 1.487 × 100= 148.7Therefore, 1.487 is equivalent to... View Article
What is the value of 5 to the power of -3?
5 to the power of -3 can be written as 5-3.5-3 = 1/53= 1/(5 × 5 × 5)= 1/125Therefore, the... View Article
A six-digit number is formed by repeating a three-digit number; for example, 256256 or 678678, etc. any number of this form is always exactly divisible by :
Now, 256256 = 256 × 1001 = 256,256 678678 = 678 × 1001 = 678,678 Hence, any six-digit number formed... View Article
