Find the derivative of r(t)=(5-1³) î+2te¹¹ ĵ+sin 31 k and find the unit tangent vector at the point where t = 0.

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A: A=A0e-0.0136twe know  lnxn=nlnxlne=1

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A: SOLUTION :-   Given, a function f(x) =(1+2x)x= (1x+2) To find the derivative of given function ,…

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Q: If 46 +3ƒ(x) + 5x²(ƒ(x))³ = 0 and ƒ(−1) = −2, find ƒ'(-1). f'(-1) = 0

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Q: Convert each exponential equation to the corresponding logarithmic equation.

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Q: 1 Evaluate the following definite integral. √51² (i) cos x sinx dx; (ii) [₁ xv1+r² dr. VT

A: (1)  (i) G=∫0π2cosxsin4xdx∫xndx=xn+1n+1+c

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Q: 1.) dy 9-y vy

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