• PROBLEM 1: INVERSE FUNCTION. Find the inverse of f(x)=2x3
• PROBLEM 2: EXPONENTS. The formula K=12mv2gives the kinetic energy K, in joules, of an object of mass m kilograms moving with a speed of v meters per second. A jogger with a mass of 80 kilograms runs at a speed of 2 meters per second. Find the kinetic energy of the jogger.
• PROBLEM 3: RADICALS. A square-shaped painting has an area of 120 square inches. What is the length of each of its sides?
• PROBLEM 4: EXPONENTIAL FUNCTIONS. On the day of a child's birth, a parent deposits $10,000 in a trust fund that pays 5% interest, compounded continuously. Determine the balance in this account on the child's 21st birthday.
• PROBLEM 5: LOGARITHMIC FUNCTIONS. A colony of bacteria increases according to the formula NF=N0eKt. If the initial population of bacteria is 1000 and doubles after five (5) hours, then find the growth ratio k