CALC PONY PG 2 - a. Write one sentence explaining why f(x)...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
1. Consider the function f(x) = 4x + 1 defined for any real value of x. a. Write one sentence explaining why '(x) has an inverse function. b. Draw the graph of the inverse function. -2 x . . 2 c. Construct a formula for the inverse function. Answer: , - 1 ( X) = 2. Using the definition of derivative, not any derived formulas, find the derivative of f (x) = 1-+ 1 . (SHOW x . ALL WORK) 3. Consider two functions p(x) and v(x) both of which are exponential. The initial value of p(x) is 25 and the decay rate is .03. The initial value of v(x) is 31 and the decay rate is .04. Use the natural log to find the value of x for which p(x) = v(x). (SHOW ALL WORK) 4. The stopping distance .fora ship under its own drag is proportional to the square of its speed. A large tanker traveling at 10 knots requires 15 miles to stop. Find the stopping distance at 3 knots. (SHOW ALL WORK) 5. Simplify the following'expressions. Stopping Distance = a. sin(arcsin(2k+ 1)) a) Answer: sin(arcsin (2k + 1)) = b. e 3hl( x) b) Answer: e31n(X) =
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
1. Consider the function f(x) = 4x + 1 defined for any real value of x.
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: a. Write one sentence explaining why f(x) has an inverse function. b. Draw the graph of the inverse function.-2 x . . 2 c. Construct a formula for the inverse function. Answer: f - 1( X) = 2. Using the definition of derivative, not any derived formulas, find the derivative of f (x) = ~ + 1 . (SHOW . x . ALL WORK) 3. Consider two functions p(x) and v(x) both of which are exponential. The initial value of p(x) is 25 and the decay rate is .03. The initial value of v(x) is 31 and the decay rate is .04. Use the natural log to find the value of x for which p(x) = v(x). (SHOW ALL WORK) 4. The stopping distance for a ship under its own drag is proportional to the square of its speed. A large tanker traveling at 10 knots requires 15 miles to stop. Find the stopping distance at 3 knots. (SHOW ALL WORK) 5. Simplify the following'expressions. Stopping Distance = a. sin(arcsin(2k + 1 a) Answer: sin(arcsin (2k + 1 = b. e 3 hl( x) b) Answer: e3ln(X) =...
View Full Document

This note was uploaded on 04/30/2008 for the course LNG 230 taught by Professor Tisch during the Spring '07 term at United States Merchant Marine Academy.

Page1 / 2

CALC PONY PG 2 - a. Write one sentence explaining why f(x)...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online