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Show that if A = [[cos theta, sin theta...

Show that if `A = [[cos theta, sin theta],[-sin theta, cos theta]]`, then `A^n = [[cos n theta, sin n theta],[-sin n theta, cos n theta]]`

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PSEB-APPLICATION OF DERIVATIVES-Exercise
  1. Show that if A = [[cos theta, sin theta],[-sin theta, cos theta]], th...

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  2. Find the rate of change of the area of a circle with respect to its ra...

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  3. Find the rate of change of the area of a circle with respect to its ra...

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  4. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

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  5. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

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  6. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

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  7. A stone is dropped into a quiet lake and waves move in circles at the ...

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  8. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  9. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  10. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  11. A balloon, which always remains spherical on inflation, is being infla...

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  12. A balloon, which always remains spherical has a variable radius. Find ...

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

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  14. A particle moves along the curve 6y = x^3+2. Find the points on the cu...

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  15. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

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  16. A balloon, which always remains spherical, has a variable diameter 3/2...

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  17. Sand is pouring from a pipe at the rate of 12 cubic cm./sec. The falli...

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  18. The total cost C(x) in Rupees associated with the production of x unit...

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  19. The total revenue in Rupees received from the sale of x units of a pro...

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  20. Find the rate of change of the area of a circle with respect to its ra...

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  21. The total revenue in Rupees received from its sale of x units of a pro...

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