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NemiM [27]
3 years ago
8

Use your graphing calculator to find the value of f ′(1) for f(x) = x2 + Ln(x).

Mathematics
1 answer:
Maslowich3 years ago
7 0
That is the slope at f(1)

one way is to just take the derivitive

f'(x)=2x+(1/x)

for ti-89, do calc then derivitive then input "x^2+ln(x),x)" and click enter to get the derivitive
you would get f'(x)=2x+(1/x)
an easier way would be to have

click calc then differntiate then type x^2+ln(x),x)|x=1 then click enter
you get f'(1)=3

answer is 3
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Alisiya [41]

Answer:

Part A) michaela is 4.4+0.353=4.752 feet

Part B) 12*0.752=9 inches Micheal a is about 4 feet and 9 inches tall

Step-by-step explanation:


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3 years ago
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Five times the sum of number and 27 is greater than or equal to six times the sum of that number and 26. What is the
raketka [301]

Answer:

x \geq -21

Step-by-step explanation:

Let the number be x.

Translating the word problem into an algebraic equation, we have;

5(x + 27) \geq 6(x + 26)

Opening the bracket, we have;

5x + 135 \geq 6x + 156

Collecting like terms, we have;

6x - 5x \geq 135 - 156

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3 years ago
Which expression is equivalent to 1/2(2x-8)<br> A) 4x− 16<br> B) x− 4<br> C) 2x− 4<br> D) x− 8
inn [45]

Answer:

B) x - 4

Step-by-step explanation:

In this question, you have to simplify the expression to get your answer.

Solve:

1/2(2x - 8)

Use the distributive property.

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x + 1/2(-8)

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3 years ago
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Write an exponential equation in the form y = ab* whose graph passes through points (2, 18) and (5, 60.75).
DochEvi [55]

Let y=ab^x, as described in the problem statement. Plugging in x=2 and x=5 gives us the equations 18=ab^2 and 60.75=ab^5. Since a,b are nonzero, we divide the second equation by the first to get \frac{27}{8}=b^3, which means that b=\frac{3}{2}, after taking the cube root. Plugging this value for b into the first equation, we now have 18=a(3/2)^2=\frac{9a}{4}. Solving gives a=8, and our desired exponential equation is \boxed{y=8\left(\frac{3}{2}\right)^x}.

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3 years ago
Here is a riddle:
lilavasa [31]

Answer:

The system of inequalities that represents this situation will be:

f + s < 10

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Step-by-step explanation:

  • Let 'f' represent the first number
  • Let 's' represent the second number.

Given that the sum of the two numbers is less than 10. As 'less than' can be represented by '<'.

  • so the inequality would be: f + s < 10

Given that If we subtract the second number from the first, the difference is greater than 3. As 'greater than' can be represented by '>'.

  • so the inequality would be: f-s > 3

Thus, the system of inequalities that represents this situation will be:

f + s < 10

f - s > 3

8 0
3 years ago
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