FTOC Day 3 Practice

A cup of tea is cooling in a room that has a constant temperature of 70 degrees Farenheit. If the initial temperature of the tea, at time t = 0 is 200 degrees Farenheit and the temperature of the tea changes at the rate of R(t)=-6.89e^(-0.053t) degrees Farenheit per minute, what is the temperature, to the nearest degree, of the tea after 4 minutes?

• 175 degrees F

• 130 degrees F

• 95 degrees F

• 70 degrees F

• 45 degrees F

The graph of f', the derivative of f, is shown in the figure above. If f(0) = 20, which of the following could be the value of f(5)?

• 15

• 20

• 25

• 35

• 40

If f is the antiderivative of (x^2)/(1+x^5) such that f(1) = 0, then f(4) =?

• -0.012

• 0

• 0.016

• 0.376

• 0.629

If G(x) is an antiderivative for f(x) and G(2) = -7, then G(4) = ?

• f'(4)

• -7 + f'(4)

• 
• 
•