The length of a microtubule can be measured as L(t)=sqrt(t^2+0.1(sin(y))^2+0.1(cos (y))^2), where y(t) is the rotational angle along the microtubule, as it grows. Use implicit differentiation to show that (for L(t)≠0) L′(t) satisfies a simple formula L′(t)=t/L(t).

Cameron made 1 loaf of bread. his family ate 4/6 of the loaf of bread. how much of the loaf of bread remains? /

During your cycling trip, you and your friends often stayed in hostels. the prices of these are listed below. hostel standard room (price per night) with breakfast (price per night) super sleep hostels £22.45 £28.65 normandy nights £18.55 £25 zzzola hostels £24.50 £30.99 belgian beds £11.20 £18.55 night-time rest days ? £33 what is the range in cost for a single night, including both standard room prices and with breakfast prices?

You receive 15% of the profit from a car wash how much money do you receive from a profit of 300