Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. x - 8 lim x-8 x2 - 64

To achieve the maximum benefit for the heart when exercising, the heart rate (in beats per minute) should be in the target heart rate zone. The lower limit of this zone is found by taking 70% of the difference between 220 and the age of the person. The upper limit is found by using 85% of the difference. Complete parts a through d. U= 187 - 0.85x (Use integers or decimals for any numbers in the equation. Do not factor.) L= 154 - 0.7x (Use integers or decimals for any numbers in the equation. Do not factor.) b. What is the target heart rate zone for a 20-year-old? For a 20-year-old person, the lower limit is 140 and the upper limit is 170 beats per minute. c. What is the target heart rate zone for a 60-year-old? For a 60-year-old person, the lower limit is 112 and the upper limit is 136 beats per minute. d. Two women in an aerobics class stop to take their pulse and find that they have the same pulse. One woman is 36 years older than the other and is working at the upper limit of her…

Given the function f(x)=5x^4+75x^3+315x^2+405x, and one of its factors is (x+9), write f(x) as a product of linear factors with integers.

Why does 1f have no limit?

What is the axis of symmetry for the equatiin: f(x)=2(x+1)^2+1

Let f(x)=9x^2−4x^3−5x+132. Use the Factor Theorem to help answer the following questions about factors. Answer either "Yes" or "No".  1. Is x−1 a factor of f(x)? 2. Is x+1 a factor of f(x)?  3. Is x−4 a factor of f(x)?

Given f(x) = 6x and g(x) = 6x^2 + 3, find the following expressions:a. (f of g)(4)b. (g of f)(2)c. (f of f)(1)d. (g of g)(0)

Given the following function,f(x) = -2x^3-9x^2+108x-10, find:a) The inflection point(s). b) Regions where function is concave up and concave down.

Given that f(x) = 5x + 9 and g(x) = x^3, find (fog)(-2).