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If y=5^t and t=e^(3x). Write the value o...

If `y=5^t` and `t=e^(3x)`. Write the value of `dy/dx` at x= 0

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The correct Answer is:
`15 ln 5`
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MODERN PUBLICATION-TEST PAPER 7-EXERCISE
  1. Find B if B^(2)=[{:(17,8),(8,17):}]

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  2. if A is a 3xx3 matrix and |A| = 3, then write the matric represented b...

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  3. If y=5^t and t=e^(3x). Write the value of dy/dx at x= 0

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  4. Write the absolute maximum and absolute minimum of the function f(x)=x...

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  5. int(dx)/(e^x+e^-x)=.

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  6. Evaluate int0^(1000)e^(x-[x])dx

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  7. Write the parameteric equation of a line through parallel to the vecto...

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  8. If alphahati +3hatj -hatk and 2hati + hatj-1/3hatk are parallel then ...

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  9. Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...

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  10. Given a non-empty set X, Let *: P(x) xx P(x) be defined as A**B =(A-B...

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  11. Let R be a relation on the set A of ordered pairs of positive integers...

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  12. Let R be the relation on the set R of real numbers such that aRb iff a...

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  13. An animal feed company must produce 200kg of a mixture consisting of i...

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  14. Prove that |{:(1+a,1,1),(1,1+b,1),(1,1,1+c):}|=abc(1+1/a+1/b+1/c)or(ab...

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  15. If A=[{:(3,-4),(1,-1):}] then show that A^(k)=[{:(1+2k,-4k),(k,1-2k):}...

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  16. Express as a sum of a symmetric and a skew symmetric matrix: [[x,a,b],...

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  17. Prove the following : [[sinalpha,cosalpha,cos(alpha+delta)],[sinbeta,c...

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  18. Test differentiability of the following function at the indicated poin...

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  19. if x=e^(t)sin t and y=e^(t)cos t, then prove that (x+y)^(2)(d^(2)y)/dx...

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  20. If sin (x + y) = y cos (x + y) then prove that dy/dx =-(1 + y^2)/y^2

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