$\displaystyle
\dfrac{dx}{dt}=3xt^2\\
\dfrac{dx}{x}=3t^2 \, dt\\
\int \dfrac{dx}{x}=\int 3t^2 \, dt\\
\ln x=3\dfrac{t^3}{3}+C\\
\ln x=t^3+C\\
x=e^{t^3+C}\\
x=e^{t^3}\cdot e^C\\
\boxed{x=Ce^{t^3}}$

5 0

3 years ago

How do I make 7/15 into a decimal.

Mumz [18]

you have to divide 7 by 15 equals .466666666

8 0

3 years ago

Read 2 more answers

Find the vertex of the graph of the quadratic function y=-2xto the 2-8x-16 and determine whether it is absolute maximum or absol

Anna71 [15]

Answer: It's the absolute maximum, the vertex is (-2, -8).

Step-by-step explanation:

Just go to desmos graphing calculator and input the equation y = -2x^2-8x-16. You'll find the vertex and other things too.

6 0

3 years ago