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shusha [124]
3 years ago
13

6/9 written two different ways

Mathematics
1 answer:
Rashid [163]3 years ago
5 0
6/9 is equivalent to the fractions 60/90 and 600/900. The amount of zeros you add on does not matter as long as you do it to the top and bottom. The division sign cancels it out.
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Answer:

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At what point on the graph of y=1/4x^4 is the tangent line parallel to the line 24x -3y=8
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Answer:

a) dy/dx = 4/(2y+1)^2.

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Step-by-step explanation:

You have the following equation

  (1)

(a) You first derivative implicitly the equation (1) respect to x:

next, you solve the last result for dy/dx:

(2)

(b) The equation for the tangent line is given by:

   (3)

with yo = -2 and xo = -1

To find the slope m you use the result of the equation (2), because dy/dx evaluated in (-1,-2) is the slope at such point:

m =

Hence, by replacing in the equation (3) you obtain:

hence, the equation for the tangent line is y = 4/9 x - 14/9

(c) To find d2y/dx2 you derivative the result obtain in the equation (2):

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the second derivative for the point (-1,-2) is obtained by replacing y=-2 and dy/dx=m=4/9 in the equation (4):

hence, d2y/dx2 evaluated in (-1,-2) is -64/243

Step-by-step explanation:

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