(u - 5) 2 + (v + 2) 2 + (w – 4) 2 = 0, then find the value of 4u - v + w.
What is the highest common factor of (x³ - x² - x - 15) and (x³ - 3x² - 3x + 9)?
In a triangle ABC, a point D lies on AB and points E and F lie on BC such that DF is parallel to AC and DE is parallel to AF. If BE = 4 cm. EF = 6cm. th...
Solve the inequality for real x:
3 − 2x ≤ (x + 1)/2 < 5
Consider a function f(x) = x4Â + x3Â + x2Â + x + 1, where x is a positive integer greater than 1. What will be the rema...
The curved surface area of a cylinder is 462 cm² and its base area is 346.5 cm². What is the volume (in cm³) of the cylinder? (Use π =...
If √x + 1/√x = 2 then find the value of 3x2 + 1/3x2.
A train can cross a pole, a bridge of 720 meter long and platform of 640 meter long in 9 seconds, _____ seconds and 25 seconds, respectively.
The...
Find the number of zeroes in 20 × 45 × 32 × 25.