Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:
Answer:
look at the picture i have sent
Answer:
Martha earns $65.6 over the weekend.
Step-by-step explanation:
Brownies sold by Martha on Saturday = 60
Cookies sold by Martha on Saturday = 42
Brownies sold by Martha on Sunday = 28
Cookies sold by Martha on Sunday = 54
Total brownies sold by Martha over the weekend =
Total cookies sold by Martha over the weekend =
Cost of a brownie = $0.20
Cost of a cookie = $0.50
Total cost of brownies sold over the weekend =
Total cost of cookies sold over the weekend =
∴ Total money Martha earned over the weekend = (Answer)