Chapter 3, Problem 1RE

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Can you help with this question step by step please

Quantity vs. Rate-of-Change The projected number of senior citizens in the U.S. for the years 1995 through 2030 can be modeled by N(x), million senior citizens, where x is the number of years after 2000. N(x) = 0.03x2 + 0.315x + 34.23 (a) Find the derivative of N(x) and use it to complete the model statement below. (Refer back to Section 3.2 of your text (or ebook) for simple derivative rules.) N'(x)= --select units-- O gives the projected rate at which the number of senior citizens is changing x years after 2000, for the years 1995 through 2030. Use the appropriate function from above to answer questions b through d. (b) What is the projected number of senior citizens in the year 2025? (Round your answers to 3 decimal places.) million senior citizens (c) What is the projected rate of change of the number of senior citizens in 2025? (Round your answers to 3 decimal places.) million senior citizens per year (d) The Census Bureau predicts that in 2030, 20.1% of the U.S. population will…

Explain the relationship between a function and the derivative by providing an example.

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determine a function by being given the function’s first derivative and an initial condition for the function. Discuss how you would determine an original function if you were given the second derivative of the function as well initial conditions on the first derivative and original function.

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Look for three (3) mathematical formulas related to your chosen field like engineering, health science, or technology. Write a brief description or explanation about the use of this formula in that field. Find the derivative of this function (formula) with respect to a specific variable. See the example below. Example: Field: MEDICINE Name of Formula: Young's Rule Age of Child in Years Child's dose = x Adult dose Age of Child in Years + 12 Description: This formula is used to determine the amount of drug dosage for children over 1 year of age up to 12 years. Presentation of the Formula using Variables: [Note: If the formula is already stated in variable form, no need to do this part.] ас y = а or y %3 c + 12 c + 12 where: y = child's dose c = age of child in years a = adult dose Computation of the derivative of y with respect to c This means that a will be considered as constant. For a formula with more than 2 variables, you are free to choose which among the variable or variables will…

Q7- Find the third derivative of the function