Find values for the constants a, b, and c that will make f(x)=cosx and g(x)=a+bx+cx² satisfy the conditions f(0)=g(0), f' (0)=g' (0), and f "(0)=g "(0)

For design or analysis, what is important to determine?

how can i see the rest of the answers

hints: The flask will be filled with water (at a constant rate of 500 gallons per minute). It will take me exactly 10 minutes to escape from the chains. The diameter of the tank at 1 foot intervals. I am 5 feet 9 inches tall, and I'm pretty skinny so that you can ignore both my volume and the volume of the stool in your analysis. A gallon is equal to 0.13368 cubic feet.  You can think of the volume and the height of the water as functions of time. You can easily find an expression for V (t), and then use your expression for volume in terms of height to solve for h(t). after 10 minutes amount of water in the tank=66.84 ft3 t=69.3 minutes h(t)=e66.84t/100pi  -1 h(10)=e66.84(10)/100pi  -1=7.39 ft  Height of stool=1.64 ft Height of water in the tank=7.39 ft Questions: show work How fast is the water rising?  I would like to know how long I will have to hold my breath during the last part of the stunt.

I need help solving problems 10, 11, and 12 pertaining to the print provided.

LESSON: AUTODESK FUSION 360 Choose from the choices below:

Could you please explain it in detail. I'm stuck in step 2. Especially T4. I want detailed solution.

Solve show all steps and solution. Energy systems engineering

can you solve part B without just using those tables to find the answer?

An electric hot water heater consumes 3.1 kilowatts of electricity and converts it to heat. How long will it take the water heater to heat a 67 gallon tank of water from 10 degrees Celsius to 50 degrees Celsius? (1 kilogram of water is 0.37 gallons, 1 Calorie = 4200 J).  It may be helpful to refer back to the weekly handout for guidance on this problem. Your final answer should be in minutes (rounded to the nearest 10 minutes).