<p>I REALLY NEED HELP WITH THE FOLLOWING QUESTIONS. I have no idea what they are asking me to do. all calculus problems. </p>
<p>1) what do these statements say about the function, first derivative, second derivative, or third derivative. Identify the function the statement is talking about and explain what is happening with that function.
a)the population is growing more slowly
b)the plane is landing smoothly
c)the economy is picking up speed
d)the tax rate is constant
e)a bike accelerates faster, but a car goes faster
f. "improving home improvement" Lowe's Home Improvement Slogan
g. "The rate of increase of inflation is decreasing"
h. this course is going downhill
i. the rate of accleration is slowing down
j. stock prices have peaked</p>
<p>2)The radius of a circle is decreasing at a constant rate of 1 cm per second. In terms of the circumference C, what is the rate of decrease of the area of the circle?</p>
<p>3)Let f be a differentiable and continuous function, and suppose that f(0)=1 and f(2)=2. Which of the following must be true?
a) there exists a c such that f(c)=3/2
b)there exists a c such that f(c)=1/2
c)there exists a c such that the first derivative of f(c)=3/2
d)there exists a c such that the first derivative of f(c)=1/2</p>