A warm can of soda is placed in a cold refrigerator. Let T(t) be the temperature of the soda at time t. Which of the following is true about dTdt? a dT/dt>0 and dT/dt is not constant. b dT/dt>0 and dT/dt is constant. c dT/dt<0 and dT/dt is not constant. d dT/dt=0 e dT/dt<0 and dT/dt is constant.

Q: 2. What is the relation between dV /dt and dr/dt if V = ()7r? %3D

A:

Q: 2 =1+ %3D V1+f(t) dt, x 21

A:

Q: Determine L[f]if S() = f(1) = | sin(t - T)e-dt.

A:

Q: 6. Repeat the above for f(x)= dt. E

A: a)  Recall the Taylor series for e-t2 as b)   Integrate the series term by term to find the Taylor…

Q: Find a linear approximation of the function f(x) = V1-x at a = 0. %3D

A:

Q: find ds/dt. s = t2 - sec t + 5et

A: Given: The function is,

Q: Let g(x) = [" sin(t²) dt- Calculate g' (3).

A:

Q: dt K = t5

A: Given : K = ∫15dtt5