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Find lambda and mu so that the simultaneous equations x+y+z= 6, x + 2y + 3z = 10, x + 2y + lambda z = mu have a unique solution

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Statement I :Among all the rectangles of the given perimeter, the squa...

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  2. True or False statements: Of all rectangles of a given area, square ...

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  3. Find x+y+z

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  4. Find the rate of change of the area of a circle per second with respec...

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  5. The volume of a cube is increasing at the rate of 9 cm^3//sec. The rat...

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  6. A stone is dropped into a quiet lake and waves move in circles at a sp...

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  7. The length x of a rectangle is decreasing at the rate of 3 cm/sec and ...

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  8. The total revenue Rs. R received form the sale of x units of a product...

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  9. The sides of an equilateral triangle are increasing at the rate of 2 c...

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  10. A ladder 5 m long is leaning against a wall. The bottom of the ladder ...

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  11. On R, the function f(x) = 7x - 3 is

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  12. The function f (x) = 2-3 x is

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  13. y=x(x-3)^(2) decreases for the values of x given by :

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  14. The function tan x - x , - pi/2 < x < pi/2

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  15. The function f(x) = x^2, for all real x is

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  16. The function f(x) = x^2 - 4x + 6 is

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  17. Find the intervals in which the function given by f(x) = sin 3x, x in ...

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  18. The function f(x)=4sin^(3)x-6sin^(2)x+12sinx+100 is strictly

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  19. Which of the following functions is decreasing on (0, pi/2)

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  20. On the interval (pi/4,pi/2), the function tan^-1 (sinx + cos x) is

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