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Find the linearization of f(x)=55xf(x) = 55x at x=1x = 1. Write an exact answer.\newlineL(x)=L(x) = __\_\_

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Full solution

Q. Find the linearization of f(x)=55xf(x) = 55x at x=1x = 1. Write an exact answer.\newlineL(x)=L(x) = __\_\_
  1. Calculate Total Tape: First, let's figure out the total amount of tape needed and the amount per roll. We have 8,0008,000 cm needed and each roll contains 2,0002,000 cm.
  2. Find Number of Rolls: Next, to find the number of rolls required, divide the total tape needed by the amount per roll. So, it's 8,000 cm÷2,000 cm8,000 \, \text{cm} \div 2,000 \, \text{cm}.
  3. Determine Rolls Needed: Doing the division, 8,000÷2,0008,000 \div 2,000 equals 44. So, the electrician needs 44 rolls of tape.

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