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test review help please

0 votes

asked Dec 3, 2014 in PRECALCULUS by Baruchqa Pupil

3 Answers

0 votes

(1)

Given function is image

 

image

image

Apply formula : image

 

image

image

image

image

Instantaneous rate of change at x = 3 is

image

image

image

Instantaneous rate of change at x = 3 is " 17/16 ".

answered Dec 3, 2014 by Shalom Scholar
edited Dec 3, 2014 by steve
0 votes

2)

image

image

Apply formula : image

 

image

image

image

image

image

image

answered Dec 3, 2014 by Shalom Scholar
edited Dec 3, 2014 by Shalom
0 votes

3)

image

image

image

Apply derivative both sides with respect to x to find slope .

image

image

Apply formulas : image

image

image

The line is passing through point ( 3 , -10 ).So substitute x = 3.

image

image

image

Slope point form of the line is

image

Substitute  point ( 3 , -10 ) and slope m = -7.

image

image

image

image

Tangent line is 7x+y-11=0.

answered Dec 3, 2014 by Shalom Scholar

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