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Integrate the following function with re...

Integrate the following function with respect to t `int(4cost + t^2)` dt

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[`4sint + t^3/3 +C`]
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PATHFINDER-VECTOR-I AND VECTOR-II-QUESTION BANK
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  2. If abs(vecA) = 2 and abs(vecB)=4,then match the relations in List-l wi...

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  3. The torque of force vecF =(3hati -3hatj + 4hatk) newton acting at the ...

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  4. A force (3hati +4hatj ) newton acts on a body and displaces if by (3h...

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  5. Two points A and B are given respectively as ( 0,3,-1) and (-2,6,4). T...

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  6. Find the projection of vecA = hati + hatj + hatk along the vector vecB...

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  7. A force vecF =( 3hati +4hatj + 3hatk )N is applied at a point A(2m,3m,...

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  8. If vecu = hati xx (veca xx hati) + hatj xx (veca xx hatj) + hatk xx (v...

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  9. Find the unit vector which is perpendicular to the vector (hati + hatj...

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  10. Differentiate the following function with respect to x (1 + x)/e^x

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  11. Integrate the following function with respect to t int(4cost + t^2) dt

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  12. Integrate the following function int(pi)/6^(pi)/3 sinx.dx

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  13. Find maximum/minimum value of y in the function given below y = (sin2x...

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  14. For the equation given below,tell the nature of graphs y=6e^(-4x)

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  15. The resultant of two vectors vecA and vecB is at right angles to vecA ...

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  16. If vector vecA = cosomegahati + sinomegathatj and vecB = cos(omegat)/2...

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  17. Consider three vectors vecA = hati + hatj - hatk, vecB = hati - hatj +...

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  18. If vectors hati - 3hatj + 5hatk and hati - 3hatj - ahatk are equal vec...

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  19. Given vecA = 2hati + 3hatj and vecB = hati + hatj. The component of ve...

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  20. Which of the following is correct relation between an arbitrary vector...

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