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3 years ago

Simplify.

Mathematics

2 answers:

Igoryamba3 years ago

8 0

$26+(-3)*(-8) \\ 
 \\ (-3)*(-8)=24 \\ 
 \\ 26+24=50 \\ 
 \\ Answer:\boxed{D.50} \\$

Rasek [7]3 years ago

6 0

$\rm 26+(-3)\cdot(-8)=26+24=\bold{50} \\ \\ \bold{Answer:D}$

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Answer:

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

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• k = f(h) is the value of the function at x = h.

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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4) Replacing the values of m, h and k in the general equation of the tangent line, we get:

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

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

Answer

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