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Mariana [72]
3 years ago
9

Find f'(x) f(x)=(1-2x^2)^3

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0

Answer:  f'(x) = 12x  + 48x³ - 48x⁵

<u>Step-by-step explanation:</u>

f(x) = (1 - 2x²)³

     = (1 - 2x²)(1 - 4x² + 4x⁴)

         1 - 4x² + 4x⁴

        <u>    -2x² + 8x⁴ - 8x⁶</u>

     =  1 - 6x² + 12x⁴ - 8x⁶

f'(x) = 0 -2(6)x²⁻¹ + 4(12)x⁴⁻¹ - 6(8)x⁶⁻¹

      =     12x  + 48x³ - 48x⁵

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3(5z - 7) - 2 (9z - 11) = 4 (8z - 13) - 17
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Answer z=2

See picture attached for the math

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Describe how the graph of y = x2 can be transformed to the graph of the given equation.
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 <span>1.Describe how the graph of y = x2 can be transformed to the graph of the given equation. 

y = (x+17)2 

Shift the graph of y = x2 left 17 units. 


2.Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = (x-4)2-8 

Shift the graph of y = x2 right 4 units and then down 8 units. 


.Describe how to transform the graph of f into the graph of g. 

f(x) = x2 and g(x) = -(-x)2 

Reflect the graph of f across the y-axis and then reflect across the x-axis. 

Question 4 (Multiple Choice Worth 2 points) 

Describe how the graph of y= x2 can be transformed to the graph of the given equation. 

y = x2 + 8 

Shift the graph of y = x2 up 8 units. 


Question 5 (Essay Worth 2 points) 

Describe the transformation of the graph of f into the graph of g as either a horizontal or vertical stretch. 
f as a function of x is equal to the square root of x and g as a function of x is equal to 8 times the square root of x 

f(x) = √x, g(x) = 8√x 

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Read 2 more answers
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Read 2 more answers
Select the correct answer.
antoniya [11.8K]

The range of the function shown on the graph (see attachment) is: D. -9 ≤ y ≤ 8.

<h3>What is a range?</h3>

A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.

<h3>How to identify the range of this graph?</h3>

The vertical extent of a graph represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached below, we can reasonably infer and logically deduce the following:

Range = [-9, 8]

In interval notation, the range of this graph can be rewritten as -9 ≤ y ≤ 8.

Read more on range here: brainly.com/question/16610662

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<u>Complete Question:</u>

Select the correct answer.

A graph plots two points at (negative 7, 8) and (negative 2, negative 9) on the x y coordinate plane. A diagonal curve connects both points.

What is the range of the function shown on the graph above?

A. -7≤y≤-2

B.-8≤y≤8

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D. -9≤y≤8

4 0
1 year ago
Solve 2cos^2x + cosx − 1 = 0 for x over the interval [0, 2 π ).
alina1380 [7]
Let cos x = a, then
2a^2 + a - 1 = 0,
solving the quadratic equation, we have:
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i.e. cos x = 0.5 or cos x = -1
for cos x = 0.5,
x = pi/3, 2pi - pi/3 = pi/3, 5pi/3

for cos x = -1,
x = pi

therefore, x = pi, pi/3, 5pi/3
Answer: B
6 0
3 years ago
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