The coefficient of x^3 in (2x – 3y) (4x^2 + 6xy + 9y^2 ) is 

Correct Answer - 35,20

Correct Answer - (i) `(3x+y)(3x+y)" (ii) " (2y-1)(2y-1)" (iii) " (x+(y)/(10))(x-(y)/(10))`

Given: μS = 0.4, m = 0.25 kg, g = 9.8 m/s2 To find: Force (FL) Formula: FL = μSN = μS(mg) Calculation: From formula, FL = 0.4 × 0.25 × 9.8 = 0.98 N The horizontal force applied...

Correct option is: (A) µs > µk > µr

Correct option is: (D) \(\frac{1}{7}\)

1. False.  Coefficient of linear expansion is different for different substances.  2. True.

Yes, coefficient of areal expansion and coefficient of volume expansion depend upon nature of material.

a3−b3=(a−b)(a2+ab+b2) a3+b3=(a+b)(a2−ab+b2) Given, (3x+2y)(9x2−6xy+4y2) =(3x)3+(2y)3 =27x3+8y3

`24x^(2)-6xy+29y+6x-58y-151=0` `2(x-3y+3)^(2)+2(3x+y-1)^(2)=180` or `((x-3y+3)^(2))/(60)+((3x+y-1)^(2))/(90)=1` or `((x-3y+3)/(sqrt(1+3^(2))sqrt(6)))^(2)+((3x+y-1)/(3sqrt(1+3^(2))))=1` Thus, C is an ellipse whose lengths of axes are `6,2sqrt(6)`. The minor and the major axes are `x-3y+3=0 and 3x+y-1=0`, respectively. Their point...