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x³ + y³+ z³ - 3xyz = (x+y+z)× 1/2 [3( x² + y² + z²) - (x + y + z)2] => 842 - 3xyz = 7× 1/2 [3 × 85 - 49] => 842 - 3xyz = 7× 103 => 3xyz = 842 - 721 => 3xyz = 121 =>√3 xyz = √121 = 11
What is the total amount spent on Advertising and Training combined?
If sin x + cos x = 7/5, find sin⁴ x + cos⁴ x:
Below given is a wrong number series & 'p' is the replacement of the wrong term.
1360, 1362, 1367, 1380, 1400
I. ‘p’ is a prime number...
Factor the polynomial: x³ - 6x² + 11x - 6.
If sinθ + cosθ = 2a and tanθ + cotθ = b, then find a in terms of b.
Anuj invested a certain amount for 18 months at a simple interest rate of 5% per annum and received a total of Rs. 3,440. What wo...
The ratio of two numbers is 3:5. If 9 is subtracted from both, the new ratio becomes 12:23. Determine the original numbers.
Calculate the total percentage increase in employees from 2019 to 2023 for the entire company.
A fan manufacturer found that 27% of the total product is defective. If the number of products in good condition is 4088 then find out the number of def...