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suter [353]
3 years ago
7

If f(x + 2) = 2x + 3 then find f-'(4).​

Mathematics
1 answer:
sammy [17]3 years ago
7 0

Given:

The function is

f(x+2)=2x+3

To find:

The value f'(4).

Solution:

We have,

f(x+2)=2x+3

Putting x+2=t and x=t-2 we get

f(t)=2(t-2)+3

f(t)=2t-4+3

f(t)=2t-1

Differentiate with respect to t.

f'(t)=2(1)-0

f'(t)=2

At t=4, we get

f'(4)=2

Therefore, the value of f'(4) is 2.

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Find the surface area of the cylinder. Type an exact answer in terms of pi.
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Answer:

=150.79644...cm²

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Step-by-step explanation:

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5 0
2 years ago
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Yan has already finished 3/5 of the 45 math problems he was assigned today. Each math problem took him 1 4/5 of a minute to comp
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Answer:

He will finish the rest of the problems in 32.4 minutes.

Step-by-step explanation:

Since we are given that Yan has completed 3/5 of 45 problems i.e.

\frac{3}{5}*45

27

Thus he has completed 27 problems

Remaining no. of problems are 45-27 = 18

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So, he completes 18 problems in minutes = 18 *1.8 = 32.4 minutes

Hence , He will finish the rest of the problems in 32.4 minutes.


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3 years ago
the only difference between an isosoleces trapezoidand parallel trapezoid are that the non-parellel sides are congruent
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Is this a true or false type of question
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3 years ago
Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students s
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Student A starts with $100 in the bank and makes $5 a day. Student B starts with $50 and makes $7 a day. Assuming the students save their money, when will they have the same amount of money ?
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Complete the following statement: f(3)=_____
victus00 [196]
Using this equation, f(3) = 23.

In order to find the value of f(3), we need to take the f(x) equation and put 3 everywhere we see x. Then we follow the order of operations to solve. So, let's start with the original. 

f(x) = 2x^2 + 5sqrt(x - 2) 

Now place 3 in for each x. 

f(3) = 2(3)^2 + 5sqrt(3 - 2)

Now square the 3.

f(3) = 2(9) + 5 sqrt(3 - 2)

Do the subtraction inside of the parenthesis. 

f(3) = 2(9) + 5sqrt(1)

Take the square root

f(3) = 2(9) + 5(1)

Multiply. 

f(3) = 18 + 5

And add. 

f(3) = 23

4 0
3 years ago
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