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6.095 Applications of exponentials

Interactive practice questions

The equation for the population at time $t$t is given by $Q=Ne^{2t}$Q=Ne2t. Make $t$t the subject of the equation.

Easy
2min

Solve $M=4-e^P$M=4eP for $P$P.

Easy
1min

Solve $y=A\left(1+e^{-Bx}\right)-C$y=A(1+eBx)C for $x$x.

Medium
3min

Solve $P=A+Be^{-kt}$P=A+Bekt for $k$k.

Medium
3min
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Outcomes

3.1.6

use trigonometric functions and their derivatives to solve practical problems

4.1.5

solve equations involving indices using logarithms

3.2.18

calculate total change by integrating instantaneous or marginal rate of change

3.2.20

calculate the area between curves

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