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Maksim231197 [3]
3 years ago
6

Use The four step process to find the slope of the tangent line to the graph of the given function at any point. ( simplify your

answer is completely)
F(x)= 8x^2 +3x

I’ve been trying to do this problem for 20 minutes, please help
Mathematics
1 answer:
hodyreva [135]3 years ago
3 0

Answer:

The answer to your question is: 16x + 3

Step-by-step explanation:

Step 1 :      f(x) = 8x² + 3x

                f(x +h) =  8(x + h)² + 3( x + h)

                f(x + h) = 8( x² + 2xh + h²) + 3( x + h)

                f (x + h) = 8x² + 16xh + 8h² + 3x + 3h

Step 2 f(x+h) - f(x) =  8x² + 16xh + 8h² + 3x + 3h - ( 8x² + 3x)

                              = 8x² + 16xh + 8h² + 3x + 3h - 8x² -3x

                              = 16xh + 8h² + 3 h

Step 3 f(x + h) - f(x)/ h = h(16x + 8h + 3) /h

                                    = 16x + 8h + 3

Step 4 lim  f(x + h) - f(x)/ h = lim 16x + 8h + 3  = lim 16x + 8(0) + 3 = 16x + 3

        h ⇒0                           h ⇒0                     h ⇒0

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Answer:

H = 2        S = 50    A = 50.2

Step-by-step explanation:

A=2πrh+2πr2

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S = 2 (t x r) + (h x 2t) x r   Try out ^2 for Radius

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S= 24 + 12 x 2    Find h = 2

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Synthetic Division <br> -2 | 1 2 -3 1
Tom [10]

Answer:

7

Step-by-step explanation:

I am assuming that the division problem looks like this:

-2|  1   2   -3   1

Going off that assumption, we will work this problem.  The first thing you always do in the execution of synthetic division is to bring down the first number.  Then multiply that number by the one "outside", which is -2, then put that number up under the next number in the line:

-2|  1   2   -3   1

        -2

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Now add the 2 and -2 and bring that down as a 0 and multiply the -2 times the 0:

-2|   1   2   -3   1

         -2    0

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Now add -3 and 0 to get -3 and multiply that -3 times the -2 and put the product up under the next numbe in line;

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3 years ago
How many negative roots will this function have? f(x) = x^7 – 2x^4 + 7x^2 + 2x – 2<br> help plsss
Vikentia [17]

There are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

<h3>What is polynomial?</h3>

Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.

\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n

We have a polynomial function:

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

\rm f(x) =\left(x+1\right)\left(x^6-x^5+x^4-3x^3+3x^2+4x-2\right)

Using the zero product property:

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After solving:

x = -1, x = -0.853, and x = 0.418 (using the graph method)

Thus, there are two negative roots to the provided polynomial function

f(x) = x⁷ – 2x⁴ + 7x² + 2x – 2

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