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goldenfox [79]
2 years ago
13

What is the sum of 14 and the opposite of 12? A) -26 B) -2 C) 2 D) 26

Mathematics
2 answers:
Nikitich [7]2 years ago
8 0

Answer:

Option C is correct

2 is the sum of 14 and the opposite of 12

Step-by-step explanation:

We have to find:

Sum of 14 and the opposite of 12.

\text{Opposite of 12} = -12

and

\text{Sum of 14 and opposite of 12} = 14 + (-12)

then;

14+(-12) = 14 -12 = 2

Therefore, 2 is the sum of 14 and the opposite of 12

BartSMP [9]2 years ago
7 0
14 is positive and the opposite of 12 is -12. So 14+-12=2. Your answer is C. Hope this helped!
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Given f(x) = (lnx)^3 find the line tangent to f at x = 3
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Explanation

We must the tangent line at x = 3 of the function:

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The tangent line is given by:

y=m*(x-h)+k.

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,

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In this case, we have h = 3.

1) First, we compute the derivative of f(x):

f^{\prime}(x)=\frac{d}{dx}((\ln x)^3)=3*(\ln x)^2*\frac{d}{dx}(\ln x)=3*(\ln x)^2*\frac{1}{x}=\frac{3(\ln x)^2}{x}.

2) By evaluating the result of f'(x) at x = h = 3, we get:

m=f^{\prime}(3)=\frac{3}{3}*(\ln3)^2=(\ln3)^2.

3) The value of k is:

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y=(\ln3)^2*(x-3)+(\ln3)^3.

Plotting the function f(x) and the tangent line we verify that our result is correct:

Answer

The equation of the tangent line to f(x) and x = 3 is:

y=(\ln3)^2*(x-3)+(\ln3)^3

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