UFCalcSet11 - Exercises UF Calculus Set 11 1. Find the...

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

View Full Document Right Arrow Icon
Exercises UF Calculus Set 11 1. Find the equation of the tangent line to the graph of the function f ( x ) = x 2 + 2 x at the point ( 1 , 3 ) . Sketch both the graph of f ( x ) and the tangent line on the same axes. 2. Find the equation of the line tangent to the given curve at the given point. (a) y = 3 x - 4 ; ( 1 , - 1 ) (b) y = 2 x 2 ; ( - 1 , 2 ) (c) y = x ; ( 1 , 1 ) (d) y = x 3 - x ; ( 0 , 0 ) (e) y = t - 1 ; ( 5 , 2 ) (f) y = ( x - 2) - 1 ; ( 1 , - 1 ) 3. Find all points P on the parabola y = x 2 such that the tangent line at P passes through the point ( 0 , - 4 ) . What if the point were changed to ( 2 , - 5 ) ? 4. The position functions of two objects, A and B are sketched below. The horizontal axis is measured in minutes and the vertical axis in meters. Answer the questions below. (a) Which object travels a farther distance over the first 8 minutes? 12 minutes? (b) After how many minutes do the objects have the same average velocity to that point? (c) Which object is traveling faster after 2 minutes? 5 minutes?
Background image of page 1

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

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 2

UFCalcSet11 - Exercises UF Calculus Set 11 1. Find the...

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