Mathematics, 01.07.2019 17:00 vjacksongonzalez
Differentiate ! the height of a certain species 't' years after it was planted is given by h=20ln(3t +2) +30cm a) how tall was the shrub when it was planted b) how long will it take for the shrub to reach a height of 1 metre c)at what rate is the shrubs height changing i) 3 years after being planted ii) 10 years after being planted
Answers: 2
![\bf h=20ln(3t+2)+30\\\\ -------------------------------\\\\ \boxed{a}\\\\ \stackrel{0~years}{t=0}\qquad h=20ln[3(0)+2]+30\implies h=20ln(2)+30 \\\\\\ h\approx 43.86 \\\\\\ \boxed{b}\\\\ \stackrel{1~meter}{h=100}\qquad 100=20ln(3t+2)+30\implies 70=20ln(3t+2) \\\\\\ \cfrac{70}{20}=ln(3t+2)\implies \stackrel{\textit{log cancellation rule}}{e^{\frac{7}{2}}=e^{ln(3t+2)}}\implies e^{\frac{7}{2}}=3t+2 \\\\\\ e^{\frac{7}{2}}-2=3t\implies \cfrac{e^{\frac{7}{2}}-2}{3}=t\implies 10.371817\approx t](/tpl/images/0039/3830/b9d25.png)
Another question on Mathematics
Mathematics, 21.06.2019 17:00
Can someone pls ! pls answer all. no explanation needed..
Answers: 1
Mathematics, 21.06.2019 17:40
Afamily of five rents a kayak and splits the total time, k, equally. each family member spent less than 25 minutes kayaking. which values can be used to complete the math sentence below so that it accurately represents the situation? intro done
Answers: 2
Mathematics, 21.06.2019 18:50
The table represents a function. what is f(-2)? a.-3 b. -1 c.1 d.3
Answers: 1
Mathematics, 21.06.2019 20:00
Donald has x twenty-dollar bills and 11 ten-dollar bill. how much money does donald have? write your answer as an expression.
Answers: 2
You know the right answer?
Differentiate ! the height of a certain species 't' years after it was planted is given by h=20ln(...
Questions
Geography, 16.04.2020 22:15
Biology, 16.04.2020 22:15
Biology, 16.04.2020 22:15
Mathematics, 16.04.2020 22:15
SAT, 16.04.2020 22:15
Mathematics, 16.04.2020 22:15
Mathematics, 16.04.2020 22:15
Mathematics, 16.04.2020 22:15
English, 16.04.2020 22:15
Mathematics, 16.04.2020 22:15
Mathematics, 16.04.2020 22:16
Mathematics, 16.04.2020 22:16
