7) Assume that the temperature of a person during an illness is given by: T(t) = t2 +1 5t + 98.6, in hours. Find the rate of change of where T = the temperature, in degrees Fahrenheit, at time the temperature with respect to time. dT _ 5(1 – t2) t2 +1 dT _ 5(t2 - 1) A) dt B) dt (12 + : + 1)2 dT C) dt 5(1 – t2) (t2 + 1)2 dT D) dt %3D t2 +1

Q: Question 8 The team installing the conveyor belts has a measuring tape in imperial units. Determine…

A: To convert the given length in feet.

Q: A motorcycle shop estimates that it will sell 600 motorbikes in a year. Each bike costs $250, plus a…

A:

Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: 4) How quickly is an airplane's elevation currently rising if its height (in feet) as a function of…

A: We need to find rate of change of elevation or rate of change of height when t = 4 sec Hence we will…

Q: The monthly sales of Sunny Electronics’ new iSun media player is given by q(t)=1,077t−64t^2 units…

A: The monthly sales of Sunny Electronics’ new iSun media player is given by, qt=1077t-64t2 The price…

Q: Find each derivative 4) y = x-* (use logarithmic differentiation)

A:

Q: A ball is dropped from a 200 foot cliff. If gravity is 32 ft/sec2, find the position function of the…

A: Given :- Initial height of ball (S0)= 200 feet Accelaration due to gravity(g) = 32 feet/sec2…

Q: Let f(x)=x3−3x2−x+4f(x)=x3−3x2−x+4. Find the average rate of change in the function over the…

A:

Q: r*y" + 31?y" =1+r

A: Consider the provided D.E,