Harris Ruiz

07/25/2024 · Elementary School

66. Rams' Horns The average annual increment in the horn length (in centimeters) of bighorn rams born since 1986 can be approximated by \[ y=0.1762 x^{2}-3.986 x+22.68 \text {, } \] where \( x \) is the ram's age (in years) for \( x \) between 3 and 9 . Inte- grate to find the total increase in the length of a ram's horn during this time. Source: Journal of Wildlife Management. 67. Beagles The daily energy requirements of female beagles who are at least 1 year old change with respect to time according to the function \[ E(t)=753 t^{-0.1321} \text {, } \] where \( E(t) \) is the daily energy requirement (in kJ/ \( \left.W^{0.67}\right) \), where \( W \) is the dog's weight (in kilograms) for a beagle that is \( t \) years old. Source: Journal of Nutrition. a. Assuming 365 days in a year, show that the energy require- ment for a female beagle that is \( t \) days old is given by \( E(t)=1642 t^{-0.1321} \). b. Using the formula from part a, determine the total energy requirements (in kJ/ \( W^{0.67} \) ) for a female beagle between her