## (Solved) 2.4 The Chain Rule 15. y=3u4_4u+5,u=x3_2x_5 25. f(x)=(x5â€”4x3â€”7): â€”y :12â€3 â€” 4, dâ€”â€ = 3x2 â€” 2, fâ€™(x) = 8(x5 â€” 4x3 â€” 7 u dx _ 5...

2.4 The Chain Rule 15. y=3u4_4u+5,u=x3_2x_5 25. f(x)=(x5â€”4x3â€”7): â€”y :12â€3 â€” 4, dâ€”â€ = 3x2 â€” 2, fâ€™(x) = 8(x5 â€” 4x3 â€” 7 u dx _ 5 3 dx 26171 dâ€”xâ€” =8xz(x5â€”4x3â€” Whenx=2,u=23â€”2(2)â€”5=â€”l,so 1 27' f(t)=â€”= dâ€”y =[â€”12( 1)3â€”4][3(22)â€”2 2]=â€”160 5t2â€”6t+2 fâ€™(t) = â€”(St2 â€” 61 + 2) 17. y=Â«/Z=u1/2,u=x2â€”2x+6, dY_1â€”1/2_ 1 :_# 617â€”5Â»; _2u1/2â€™ (St â€”6t+2] {In 1
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The function â€‹R(t)=700e^0.04t gives the rate of flow of a continuous income stream in dollars per year. Assume a 10â€‹-year period at 5â€‹% compounded continuously. Find the accumulated present value.
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