University | Harvard University (HU) |
Subject | ASX101: Applied Calculus in Scientific Processes |
Question 1
- In an electrical circuit, the voltage V is given by Ohm’s law V = IR. Find the voltage when I = 5.36 A and R =14.76 π. Express your answer to 2 d p. Indicate the units for your answer clearly.
- The energy expenditure ( / ) kcal km for animals swimming at the surface of the water was given by 0.88 y f x x = = ( ) 0.01, where x is the animal’s weight in grams. Find the energy for a muskrat weighing 800 g swimming at the surface of the water. Express your answer to 2 d p. . and indicate the units for your answer clearly.
- The power P watts dissipated in an electrical circuit may be expressed by the
formula. What is the V given that P = 8.46 watts and R = 36.12 π. Express your answer to 2 d.p and indicate the units for your answer clearly
- If a ball is thrown upward with an initial velocity of 32 m / sec, then its height
after t sec is given by 2 h(t) = 32t- 16t²,
i. At what height is the object after 1 sec?
ii. How long will it take for the object to hit the ground?
Question 2
Write each expression in the form of an, where a and n are any real numbers
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